Lance Dixon
Professor of Particle Physics and Astrophysics
Web page: http://web.stanford.edu/people/lanced
Academic Appointments
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Professor, Particle Physics and Astrophysics
Administrative Appointments
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Chair, SLAC PPA Faculty (2011 - 2014)
Honors & Awards
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Galileo Galilei Medal, National Nuclear Physics Agency, Italy (INFN) (2023)
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Member, National Academy of Sciences (2022)
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Schrodinger Professor, ETH Zurich and University of Zurich (2019)
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Humboldt Research Award, Alexander von Humboldt Foundation (2017)
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Distinguished Visitor Research Chair, Perimeter Institute (2014-2020)
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J.J. Sakurai Prize, American Physical Society (2014)
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Outstanding Referee, American Physical Society (2008)
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Fellow, American Physical Society (1995)
Boards, Advisory Committees, Professional Organizations
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Scientific Advisory Board, Kavli Institute for Theoretical Physics (2017 - 2021)
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Chair of Organizing Committee, Amplitudes 2018 Conference at SLAC (2017 - 2018)
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Committee of Visitors, US Department of Energy (2016 - 2016)
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Chair, Scientific Advisory Board, Theoretical Advanced Study Institute, Boulder, CO (2015 - 2021)
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Advisory Committee, Galileo Galilei Institute, Florence (2015 - 2018)
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Co-organizer, Bay Area Particle Theory Seminar (2013 - Present)
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Scientific Advisory Board, Max Planck Institute for Physics, Munich (2012 - 2021)
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International Advisory Committee, Higgs Centre for Theoretical Physics, U. Edinburgh (2012 - 2018)
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Scientific Advisory Committee, Munich Institute for Astro- and Particle Physics (2012 - 2017)
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Steering Committee, Institute for Particle Physics Phenomenology, Durham, UK (2010 - 2015)
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High Energy Physics Advisory Panel, US Government (2008 - 2011)
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Editorial Board, Journal of High Energy Physics (2007 - Present)
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Executive Committee, SLAC Users' Organization (2004 - 2007)
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General member, Aspen Center for Physics (1993 - 2003)
Professional Education
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Ph.D., Princeton University, Physics (1986)
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B.S., California Institute of Technology, Physics and Applied Mathematics (1982)
Current Research and Scholarly Interests
I am interested in novel descriptions of how relativistic particles scattering, and how those insights can be applied to a variety of problems. Applications include precision QCD for the Large Hadron Collider; scattering in "toy models" such as N=4 super-Yang-Mills theory where an all orders solution seems feasible in the planar limit; the ultraviolet structure of quantum gravity; and problems in classical gravity such as gravitational radiation from compact binary inspiral.
2024-25 Courses
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Independent Studies (2)
- Research
PHYSICS 490 (Aut, Win, Spr) - Senior Thesis Research
PHYSICS 205 (Aut)
- Research
Stanford Advisees
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Doctoral Dissertation Reader (AC)
Zach Hulcher -
Doctoral Dissertation Advisor (AC)
Anthony Morales, Adi Suresh, Shuo Xin
All Publications
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Transforming the bootstrap: using transformers to compute scattering amplitudes in planar N=4 super Yang-Mills theory
MACHINE LEARNING-SCIENCE AND TECHNOLOGY
2024; 5 (3)
View details for DOI 10.1088/2632-2153/ad743e
View details for Web of Science ID 001313937300001
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On gauge amplitudes first appearing at two loops
JOURNAL OF HIGH ENERGY PHYSICS
2024
View details for DOI 10.1007/JHEP08(2024)129
View details for Web of Science ID 001294137100006
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Soft gluon emission at two loops in full color (vol 2020, 135, 2020)
JOURNAL OF HIGH ENERGY PHYSICS
2024
View details for DOI 10.1007/JHEP06(2024)143
View details for Web of Science ID 001253249000001
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An eight loop amplitude via antipodal duality
JOURNAL OF HIGH ENERGY PHYSICS
2023
View details for DOI 10.1007/JHEP09(2023)098
View details for Web of Science ID 001068212200003
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Antipodal Self-Duality for a Four-Particle Form Factor.
Physical review letters
2023; 130 (11): 111601
Abstract
We bootstrap the symbol of the maximal-helicity-violating four-particle form factor for the chiral part of the stress-tensor supermultiplet in planar N=4 super-Yang-Mills theory at two loops. When minimally normalized, this symbol involves only 34 letters and obeys the extended Steinmann relations in all partially overlapping three-particle momentum channels. In addition, the remainder function for this form factor exhibits an antipodal self-duality: It is invariant under the combined operation of the antipodal map defined on multiple polylogarithms-which reverses the order of the symbol letters-and a simple kinematic map. This self-duality holds on a four-dimensional parity-preserving kinematic hypersurface. It implies the antipodal duality recently noticed between the three-particle form factor and the six-particle amplitude in this theory.
View details for DOI 10.1103/PhysRevLett.130.111601
View details for PubMedID 37001100
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All-Orders Quadratic-Logarithmic Behavior for Amplitudes.
Physical review letters
2023; 130 (11): 111602
Abstract
We classify origin limits of maximally helicity violating multigluon scattering amplitudes in planar N=4 super-Yang-Mills theory, where a large number of cross ratios approach zero, with the help of cluster algebras. By analyzing existing perturbative data and bootstrapping new data, we provide evidence that the amplitudes become the exponential of a quadratic polynomial in the large logarithms. With additional input from the thermodynamic Bethe ansatz at strong coupling, we conjecture exact expressions for amplitudes with up to eight gluons in all origin limits. Our expressions are governed by the tilted cusp anomalous dimension evaluated at various values of the tilt angle.
View details for DOI 10.1103/PhysRevLett.130.111602
View details for PubMedID 37001096
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The SAGEX review on scattering amplitudes*
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
2022; 55 (44)
View details for DOI 10.1088/1751-8121/ac8380
View details for Web of Science ID 000900507300001
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The SAGEX review on scattering amplitudes Chapter 15: The multi-Regge limit
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
2022; 55 (44)
View details for DOI 10.1088/1751-8121/ac845c
View details for Web of Science ID 000900775300001
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One-loop central-emission vertex for two gluons in N=4 super Yang-Mills theory
JOURNAL OF HIGH ENERGY PHYSICS
2022
View details for DOI 10.1007/JHEP08(2022)271
View details for Web of Science ID 000846180300003
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Bootstrapping a stress-tensor form factor through eight loops
JOURNAL OF HIGH ENERGY PHYSICS
2022
View details for DOI 10.1007/JHEP07(2022)153
View details for Web of Science ID 000831256400001
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Folding Amplitudes into Form Factors: An Antipodal Duality
PHYSICAL REVIEW LETTERS
2022; 128 (11): 111602
Abstract
We observe that the three-gluon form factor of the chiral part of the stress-tensor multiplet in planar N=4 super-Yang-Mills theory is dual to the six-gluon MHV amplitude on its parity-preserving surface. Up to a simple variable substitution, the map between these two quantities is given by the antipode operation defined on polylogarithms (as part of their Hopf algebra structure), which acts at symbol level by reversing the order of letters in each term. We provide evidence for this duality through seven loops.
View details for DOI 10.1103/PhysRevLett.128.111602
View details for Web of Science ID 000772696500008
View details for PubMedID 35363002
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Heptagon functions and seven-gluon amplitudes in multi-Regge kinematics
JOURNAL OF HIGH ENERGY PHYSICS
2021
View details for DOI 10.10070/JHEP(2021)218
View details for Web of Science ID 000738613900001
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Fishnet four-point integrals: integrable representations and thermodynamic limits
JOURNAL OF HIGH ENERGY PHYSICS
2021
View details for DOI 10.1007/JHEP07(2021)168
View details for Web of Science ID 000680867300001
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A three-point form factor through five loops
JOURNAL OF HIGH ENERGY PHYSICS
2021
View details for DOI 10.1007/JHEP04(2021)147
View details for Web of Science ID 000641435100001
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Lifting heptagon symbols to functions
JOURNAL OF HIGH ENERGY PHYSICS
2020
View details for DOI 10.1007/JHEP10(2020)031
View details for Web of Science ID 000578415100002
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Soft gluon emission at two loops in full color
JOURNAL OF HIGH ENERGY PHYSICS
2020
View details for DOI 10.1007/JHEP05(2020)135
View details for Web of Science ID 000538018900003
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Origin of the Six-Gluon Amplitude in Planar N=4 Supersymmetric Yang-Mills Theory.
Physical review letters
2020; 124 (16): 161603
Abstract
We study the maximally-helicity-violating six-gluon scattering amplitude in planar N=4 super-Yang-Mills theory at finite coupling when all three cross ratios are small. It exhibits a double logarithmic scaling in the cross ratios, controlled by a handful of "anomalous dimensions" that are functions of the coupling constant alone. Inspired by known seven-loop results at weak coupling and the integrability-based pentagon operator product expansion, we present conjectures for the all-order resummation of these anomalous dimensions. At strong coupling, our predictions agree perfectly with the string theory analysis. Intriguingly, the simplest of these anomalous dimensions coincides with one describing the lightlike limit of the octagon, namely, the four-point function of large-charge Bogomol'nyi-Prasad-Sommerfield (BPS) operators.
View details for DOI 10.1103/PhysRevLett.124.161603
View details for PubMedID 32383923
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The cosmic Galois group and extended Steinmann relations for planar N=4 SYM amplitudes
JOURNAL OF HIGH ENERGY PHYSICS
2019
View details for DOI 10.1007/JHEP09(2019)061
View details for Web of Science ID 000490836900011
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Six-Gluon amplitudes in planar N=4 super-Yang-Mills theory at six and seven loops
JOURNAL OF HIGH ENERGY PHYSICS
2019
View details for DOI 10.1007/JHEP08(2019)016
View details for Web of Science ID 000482462600004
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Collinear limit of the energy-energy correlator
PHYSICAL REVIEW D
2019; 100 (1)
View details for DOI 10.1103/PhysRevD.100.014009
View details for Web of Science ID 000474871000004
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Two-Loop Five-Point Amplitude in N=4 Super-Yang-Mills Theory
PHYSICAL REVIEW LETTERS
2019; 122 (12): 121603
Abstract
We compute the symbol of the two-loop five-point scattering amplitude in N=4 supersymmetric Yang-Mills theory, including its full color dependence. This requires constructing the symbol of all two-loop five-point nonplanar massless master integrals, for which we give explicit results.
View details for PubMedID 30978096
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The two-loop five-point amplitude in N=8 supergravity
JOURNAL OF HIGH ENERGY PHYSICS
2019
View details for DOI 10.1007/JHEP03(2019)123
View details for Web of Science ID 000462328200003
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The double pentaladder integral to all orders
JOURNAL OF HIGH ENERGY PHYSICS
2018
View details for DOI 10.1007/JHEP07(2018)170
View details for Web of Science ID 000440092800001
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Analytical Computation of Energy-Energy Correlation at Next-to-Leading Order in QCD
PHYSICAL REVIEW LETTERS
2018; 120 (10): 102001
Abstract
The energy-energy correlation (EEC) between two detectors in e^{+}e^{-} annihilation was computed analytically at leading order in QCD almost 40 years ago, and numerically at next-to-leading order (NLO) starting in the 1980s. We present the first analytical result for the EEC at NLO, which is remarkably simple, and facilitates analytical study of the perturbative structure of the EEC. We provide the expansion of the EEC in the collinear and back-to-back regions through next-to-leading power, information which should aid resummation in these regions.
View details for PubMedID 29570336
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The principle of maximal transcendentality and the four-loop collinear anomalous dimension
JOURNAL OF HIGH ENERGY PHYSICS
2018
View details for DOI 10.1007/JHEP01(2018)075
View details for Web of Science ID 000422672000005
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Gluing Ladder Feynman Diagrams into Fishnets.
Physical review letters
2017; 119 (7): 071601
Abstract
We use integrability at weak coupling to compute fishnet diagrams for four-point correlation functions in planar ϕ^{4} theory. The results are always multilinear combinations of ladder integrals, which are in turn built out of classical polylogarithms. The Steinmann relations provide a powerful constraint on such linear combinations, leading to a natural conjecture for any fishnet diagram as the determinant of a matrix of ladder integrals.
View details for DOI 10.1103/PhysRevLett.119.071601
View details for PubMedID 28949672
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Heptagons from the Steinmann cluster bootstrap
JOURNAL OF HIGH ENERGY PHYSICS
2017
View details for DOI 10.1007/JHEP02(2017)137
View details for Web of Science ID 000397648000003
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Multi-loop positivity of the planar N=4 SYM six-point amplitude
JOURNAL OF HIGH ENERGY PHYSICS
2017
View details for DOI 10.1007/JHEP02(2017)112
View details for Web of Science ID 000395018900006
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Two-loop renormalization of quantum gravity simplified
PHYSICAL REVIEW D
2017; 95 (4)
View details for DOI 10.1103/PhysRevD.95.046013
View details for Web of Science ID 000394664300020
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Bootstrapping a Five-Loop Amplitude Using Steinmann Relations
PHYSICAL REVIEW LETTERS
2016; 117 (24)
Abstract
The analytic structure of scattering amplitudes is restricted by Steinmann relations, which enforce the vanishing of certain discontinuities of discontinuities. We show that these relations dramatically simplify the function space for the hexagon function bootstrap in planar maximally supersymmetric Yang-Mills theory. Armed with this simplification, along with the constraints of dual conformal symmetry and Regge exponentiation, we obtain the complete five-loop six-particle amplitude.
View details for DOI 10.1103/PhysRevLett.117.241601
View details for Web of Science ID 000389506800003
View details for PubMedID 28009215
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The four-loop six-gluon NMHV ratio function
JOURNAL OF HIGH ENERGY PHYSICS
2016
View details for DOI 10.1007/JHEP01(2016)053
View details for Web of Science ID 000370437900001
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Evanescent Effects can Alter Ultraviolet Divergences in Quantum Gravity without Physical Consequences.
Physical review letters
2015; 115 (21): 211301-?
View details for DOI 10.1103/PhysRevLett.115.211301
View details for PubMedID 26636841
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Interference effects in the H(->gamma gamma)+2 jets channel at the LHC
PHYSICAL REVIEW D
2015; 92 (1)
View details for DOI 10.1103/PhysRevD.92.013004
View details for Web of Science ID 000357638000001
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Extrapolating W-associated jet-production ratios at the LHC
PHYSICAL REVIEW D
2015; 92 (1)
View details for DOI 10.1103/PhysRevD.92.014008
View details for Web of Science ID 000357493600004
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Bootstrapping an NMHV amplitude through three loops
JOURNAL OF HIGH ENERGY PHYSICS
2014
View details for DOI 10.1007/JHEP10(2014)065
View details for Web of Science ID 000343896900001
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Next-to-leading order gamma gamma+2-jet production at the LHC
PHYSICAL REVIEW D
2014; 90 (5)
View details for DOI 10.1103/PhysRevD.90.054004
View details for Web of Science ID 000341264900003
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The four-loop remainder function and multi-Regge behavior at NNLLA in planar N=4 super-Yang-Mills theory
JOURNAL OF HIGH ENERGY PHYSICS
2014
View details for DOI 10.1007/JHEP06(2014)116
View details for Web of Science ID 000338297700001
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Ntuples for NLO events at hadron colliders
COMPUTER PHYSICS COMMUNICATIONS
2014; 185 (5): 1443-1460
View details for DOI 10.1016/j.cpc.2014.01.011
View details for Web of Science ID 000334085600013
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The BFKL equation, Mueller-Navelet jets and single-valued harmonic polylogarithms
JOURNAL OF HIGH ENERGY PHYSICS
2014
View details for DOI 10.1007/JHEP02(2014)086
View details for Web of Science ID 000331995200001
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Hexagon functions and the three-loop remainder function
JOURNAL OF HIGH ENERGY PHYSICS
2013
View details for DOI 10.1007/JHEP12(2013)049
View details for Web of Science ID 000328335200001
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Bounding the Higgs Boson Width through Interferometry
PHYSICAL REVIEW LETTERS
2013; 111 (11)
Abstract
We study the change in the diphoton-invariant-mass distribution for Higgs boson decays to two photons, due to interference between the Higgs resonance in gluon fusion and the continuum background amplitude for gg→γγ. Previously, the apparent Higgs mass was found to shift by around 100 MeV in the standard model in the leading-order approximation, which may potentially be experimentally observable. We compute the next-to-leading-order QCD corrections to the apparent mass shift, which reduce it by about 40%. The apparent mass shift may provide a way to measure, or at least bound, the Higgs boson width at the Large Hadron Collider through "interferometry." We investigate how the shift depends on the Higgs width, in a model that maintains constant Higgs boson signal yields. At Higgs widths above 30 MeV, the mass shift is over 200 MeV and increases with the square root of the width. The apparent mass shift could be measured by comparing with the ZZ* channel, where the shift is much smaller. It might be possible to measure the shift more accurately by exploiting its strong dependence on the Higgs transverse momentum.
View details for DOI 10.1103/PhysRevLett.111.111802
View details for Web of Science ID 000324308800004
View details for PubMedID 24074073
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Next-to-leading order W+5-jet production at the LHC
PHYSICAL REVIEW D
2013; 88 (1)
View details for DOI 10.1103/PhysRevD.88.014025
View details for Web of Science ID 000321858800009
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Missing energy and jets for supersymmetry searches
PHYSICAL REVIEW D
2013; 87 (3)
View details for DOI 10.1103/PhysRevD.87.034026
View details for Web of Science ID 000315148700003
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D = 5 maximally supersymmetric Yang-Mills theory diverges at six loops
PHYSICAL REVIEW D
2013; 87 (2)
View details for DOI 10.1103/PhysRevD.87.025018
View details for Web of Science ID 000313427000006
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Single-valued harmonic polylogarithms and the multi-Regge limit
JOURNAL OF HIGH ENERGY PHYSICS
2012
View details for DOI 10.1007/JHEP10(2012)074
View details for Web of Science ID 000310851600059
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Color-kinematics duality and double-copy construction for amplitudes from higher-dimension operators
JOURNAL OF HIGH ENERGY PHYSICS
2012
View details for DOI 10.1007/JHEP10(2012)091
View details for Web of Science ID 000310851600042
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Four-Jet Production at the Large Hadron Collider at Next-to-Leading Order in QCD
PHYSICAL REVIEW LETTERS
2012; 109 (4)
Abstract
We present the cross sections for production of up to four jets at the Large Hadron Collider, at next-to-leading order in the QCD coupling. We use the BLACKHAT library in conjunction with SHERPA and a recently developed algorithm for assembling primitive amplitudes into color-dressed amplitudes. We adopt the cuts used by ATLAS in their study of multijet events in pp collisions at √s=7 TeV. We include estimates of nonperturbative corrections and compare to ATLAS data. We store intermediate results in a framework that allows the inexpensive computation of additional results for different choices of scale or parton distributions.
View details for DOI 10.1103/PhysRevLett.109.042001
View details for Web of Science ID 000306690700005
View details for PubMedID 23006076
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Simplifying multiloop integrands and ultraviolet divergences of gauge theory and gravity amplitudes
PHYSICAL REVIEW D
2012; 85 (10)
View details for DOI 10.1103/PhysRevD.85.105014
View details for Web of Science ID 000304175000005
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LOOPS, TREES AND THE SEARCH FOR NEW PHYSICS
SCIENTIFIC AMERICAN
2012; 306 (5): 34-41
View details for Web of Science ID 000302978000022
View details for PubMedID 22550920
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Precise predictions for Z-boson +4 jet production at hadron colliders
PHYSICAL REVIEW D
2012; 85 (3)
View details for DOI 10.1103/PhysRevD.85.031501
View details for Web of Science ID 000299938600001
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Analytic result for the two-loop six-point NMHV amplitude in N=4 super Yang-Mills theory
JOURNAL OF HIGH ENERGY PHYSICS
2012
View details for DOI 10.1007/JHEP01(2012)024
View details for Web of Science ID 000300181800024
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Driving missing data at next-to-leading order
PHYSICAL REVIEW D
2011; 84 (11)
View details for DOI 10.1103/PhysRevD.84.114002
View details for Web of Science ID 000297769200003
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N >= 4 supergravity amplitudes from gauge theory at two loops
JOURNAL OF HIGH ENERGY PHYSICS
2011
View details for DOI 10.1007/JHEP12(2011)046
View details for Web of Science ID 000298847200046
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Scattering amplitudes: the most perfect microscopic structures in the universe
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
2011; 44 (45)
View details for DOI 10.1088/1751-8113/44/45/454001
View details for Web of Science ID 000296773300002
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Bootstrapping the three-loop hexagon
JOURNAL OF HIGH ENERGY PHYSICS
2011
View details for DOI 10.1007/JHEP11(2011)023
View details for Web of Science ID 000297572900054
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The one-loop six-dimensional hexagon integral with three massive corners
PHYSICAL REVIEW D
2011; 84 (4)
View details for DOI 10.1103/PhysRevD.84.045017
View details for Web of Science ID 000293975600002
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Left-handed W bosons at the LHC
PHYSICAL REVIEW D
2011; 84 (3)
View details for DOI 10.1103/PhysRevD.84.034008
View details for Web of Science ID 000293556700004
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Amplitudes and ultraviolet behavior of N=8 supergravity
16th European Workshop on String Theory
WILEY-V C H VERLAG GMBH. 2011: 561–78
View details for DOI 10.1002/prop.201100037
View details for Web of Science ID 000292548200004
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The one-loop six-dimensional hexagon integral and its relation to MHV amplitudes in N=4 SYM
JOURNAL OF HIGH ENERGY PHYSICS
2011
View details for DOI 10.1007/JHEP06(2011)100
View details for Web of Science ID 000293136600027
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Precise Predictions for W+4-Jet Production at the Large Hadron Collider
PHYSICAL REVIEW LETTERS
2011; 106 (9)
Abstract
We present the next-to-leading order (NLO) QCD results for W+4-jet production at hadron colliders. This is the first hadron-collider process with five final-state objects to be computed at NLO. It represents an important background to many searches for new physics at the energy frontier. Total cross sections, as well as distributions in the jet transverse momenta, are provided for the initial LHC energy of √s = 7 TeV. We use a leading-color approximation, known to be accurate to 3% for W production with fewer jets. The calculation uses the BLACKHAT library along with the SHERPA package.
View details for DOI 10.1103/PhysRevLett.106.092001
View details for Web of Science ID 000287843900002
View details for PubMedID 21405617
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A tree-level amplitudes in massless QCD
JOURNAL OF HIGH ENERGY PHYSICS
2011
View details for DOI 10.1007/JHEP01(2011)035
View details for Web of Science ID 000287937900045
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Complete four-loop four-point amplitude in N=4 super-Yang-Mills theory
PHYSICAL REVIEW D
2010; 82 (12)
View details for DOI 10.1103/PhysRevD.82.125040
View details for Web of Science ID 000286748900009
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Next-to-leading order QCD predictions for Z,gamma*+3-jet distributions at the Tevatron
PHYSICAL REVIEW D
2010; 82 (7)
View details for DOI 10.1103/PhysRevD.82.074002
View details for Web of Science ID 000282360300002
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Vector Boson plus Jets with BLACKHAT and SHERPA
10th DESY Workshop on Elementary Particle Theory
ELSEVIER SCIENCE BV. 2010: 92–97
View details for DOI 10.1016/j.nuclphysbps.2010.08.025
View details for Web of Science ID 000286083000017
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R-4 counterterm and E-7(7) symmetry in maximal supergravity
JOURNAL OF HIGH ENERGY PHYSICS
2010
View details for DOI 10.1007/JHEP05(2010)003
View details for Web of Science ID 000278251300045
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On soft singularities at three loops and beyond
JOURNAL OF HIGH ENERGY PHYSICS
2010
View details for DOI 10.1007/JHEP02(2010)081
View details for Web of Science ID 000275223100081
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Next-to-leading order QCD predictions for W+3-jet distributions at hadron colliders
PHYSICAL REVIEW D
2009; 80 (7)
View details for DOI 10.1103/PhysRevD.80.074036
View details for Web of Science ID 000271353400066
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Ultraviolet Behavior of N=8 Supergravity at Four Loops
PHYSICAL REVIEW LETTERS
2009; 103 (8)
Abstract
We describe the construction of the complete four-loop four-particle amplitude of N=8 supergravity. The amplitude is ultraviolet finite, not only in four dimensions, but in five dimensions as well. The observed extra cancellations provide additional nontrivial evidence that N=8 supergravity in four dimensions may be ultraviolet finite to all orders of perturbation theory.
View details for DOI 10.1103/PhysRevLett.103.081301
View details for Web of Science ID 000269288500016
View details for PubMedID 19792710
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Analytic one-loop amplitudes for a Higgs boson plus four partons
JOURNAL OF HIGH ENERGY PHYSICS
2009
View details for DOI 10.1088/1126-6708/2009/08/058
View details for Web of Science ID 000270220000058
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Precise Predictions for W+3 Jet Production at Hadron Colliders
PHYSICAL REVIEW LETTERS
2009; 102 (22)
Abstract
We report on the first next-to-leading order QCD computation of W+3-jet production in hadronic collisions including all partonic subprocesses. We compare the results with data from the Tevatron and find excellent agreement. The required one-loop matrix elements are computed using on-shell methods, implemented in a numerical program, BlackHat. We use the SHERPA package to generate the real-emission contributions and to integrate the various contributions over phase space. We use a leading-color (large-N_{c}) approximation for the virtual part, which we confirm in W+1, 2-jet production to be valid to within three percent.
View details for DOI 10.1103/PhysRevLett.102.222001
View details for Web of Science ID 000266685400011
View details for PubMedID 19658855
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Matter dependence of the three-loop soft-anomalous-dimension matrix
PHYSICAL REVIEW D
2009; 79 (9)
View details for DOI 10.1103/PhysRevD.79.091501
View details for Web of Science ID 000266501800002
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Resonance-continuum interference in light Higgs boson production at a photon collider
PHYSICAL REVIEW D
2009; 79 (3)
View details for DOI 10.1103/PhysRevD.79.033002
View details for Web of Science ID 000263816600012
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Manifest ultraviolet behavior for the three-loop four-point amplitude of N=8 supergravity
PHYSICAL REVIEW D
2008; 78 (10)
View details for DOI 10.1103/PhysRevD.78.105019
View details for Web of Science ID 000261214100093
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One-Loop Calculations with BlackHat
NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS
2008; 183: 313-319
View details for DOI 10.1016/j.nuclphysbps.2008.09.123
View details for Web of Science ID 000261510900052
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Universal structure of subleading infrared poles in gauge theory amplitudes
JOURNAL OF HIGH ENERGY PHYSICS
2008
View details for Web of Science ID 000258917400087
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Automated implementation of on-shell methods for one-loop amplitudes
PHYSICAL REVIEW D
2008; 78 (3)
View details for DOI 10.1103/PhysRevD.78.036003
View details for Web of Science ID 000258975300100
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Two-loop six-gluon maximally helicity violating amplitude in maximally supersymmetric Yang-Mills theory
PHYSICAL REVIEW D
2008; 78 (4)
View details for DOI 10.1103/PhysRevD.78.045007
View details for Web of Science ID 000259368500102
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On-shell methods in perturbative QCD
ANNALS OF PHYSICS
2007; 322 (7): 1587-1634
View details for DOI 10.1016/j.aop.2007.04.014
View details for Web of Science ID 000248197100006
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Cancellations beyond finiteness in N=8 supergravity at three loops
PHYSICAL REVIEW LETTERS
2007; 98 (16)
Abstract
We construct the three-loop four-point amplitude of N=8 supergravity using the unitarity method. The amplitude is ultraviolet finite in four dimensions. Novel cancellations, not predicted by traditional superspace power-counting arguments, render its degree of divergence in D dimensions no worse than that of N=4 super-Yang-Mills theory--a finite theory in four dimensions. Similar cancellations can be identified at all loop orders in certain unitarity cuts, suggesting that N=8 supergravity may be a perturbatively finite theory of quantum gravity.
View details for DOI 10.1103/PhysRevLett.98.161303
View details for Web of Science ID 000245871200016
View details for PubMedID 17501410
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Four-loop planar amplitude and cusp anomalous dimension in maximally supersymmetric Yang-Mills theory
PHYSICAL REVIEW D
2007; 75 (8)
View details for DOI 10.1103/PhysRevD.75.085010
View details for Web of Science ID 000246076900095
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Is N=8 supergravity ultraviolet finite?
PHYSICS LETTERS B
2007; 644 (4): 265-271
View details for DOI 10.1016/j.physleth.2006.11.030
View details for Web of Science ID 000243801600009
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All one-loop maximally helicity violating gluonic amplitudes in QCD
PHYSICAL REVIEW D
2007; 75 (1)
View details for DOI 10.1103/PhysRevD.75.016006
View details for Web of Science ID 000243896200079
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Recursive construction of Higgs plus multiparton loop amplitudes: The last of the "phi-nite" loop amplitudes
PHYSICAL REVIEW D
2006; 74 (9)
View details for DOI 10.1103/PhysRevD.74.094021
View details for Web of Science ID 000242409700044
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On-shell unitarity bootstrap for QCD amplitudes
8th DESY Workshop on Elementary Particle Theory
ELSEVIER SCIENCE BV. 2006: 261–270
View details for DOI 10.1016/j.nuclphysbps.2006.09.114
View details for Web of Science ID 000242022800050
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Two-loop soft anomalous dimension matrix and resummation at next-to-next-to-leading poles
PHYSICAL REVIEW D
2006; 74 (7)
View details for DOI 10.1103/PhysRevD.74.074004
View details for Web of Science ID 000241723900032
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Two-loop anomalous-dimension matrix for soft-gluon exchange
PHYSICAL REVIEW LETTERS
2006; 97 (7)
Abstract
The resummation of soft-gluon exchange for QCD hard scattering requires a matrix of anomalous dimensions. We compute this matrix directly for arbitrary 2-->n massless processes for the first time at two loops. Using color-generator notation, we show that it is proportional to the one-loop matrix. This result reproduces all pole terms in dimensional regularization of the explicit calculations of massless 2-->2 amplitudes in the literature, and it predicts all poles at next-to-next-to-leading order in any 2-->n process that has been computed at next-to-leading order. The proportionality of the one- and two-loop matrices makes possible the resummation in closed form of the next-to-next-to-leading logarithms and poles in dimensional regularization for the 2-->n processes.
View details for DOI 10.1103/PhysRevLett.97.072001
View details for Web of Science ID 000239842100008
View details for PubMedID 17026220
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Bootstrapping one-loop QCD amplitudes with general helicities
PHYSICAL REVIEW D
2006; 74 (3)
View details for DOI 10.1103/PhysRevD.74.036009
View details for Web of Science ID 000240239300099
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Bootstrapping multiparton loop amplitudes in QCD
PHYSICAL REVIEW D
2006; 73 (6)
View details for DOI 10.1103/PhysRevD.73.065013
View details for Web of Science ID 000236466100097
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Last of the finite loop amplitudes in QCD
PHYSICAL REVIEW D
2005; 72 (12)
View details for DOI 10.1103/PhysRevD.72.125003
View details for Web of Science ID 000234274900061
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Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond
PHYSICAL REVIEW D
2005; 72 (8)
View details for DOI 10.1103/PhysRevD.72.085001
View details for Web of Science ID 000232936700064
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All next-to-maximally-helicity-violating one-loop gluon amplitudes in N=4 super-Yang-Mills theory
PHYSICAL REVIEW D
2005; 72 (4)
View details for DOI 10.1103/PhysRevD.72.045014
View details for Web of Science ID 000231565000092
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On-shell recurrence relations for one-loop QCD amplitudes
PHYSICAL REVIEW D
2005; 71 (10)
View details for DOI 10.1103/PhysRevD.71.105013
View details for Web of Science ID 000229440400087
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All non-maximally-helicity-violating one-loop seven-gluon amplitudes in N=4 super-Yang-Mills theory
PHYSICAL REVIEW D
2005; 71 (4)
View details for DOI 10.1103/PhysRevD.71.045006
View details for Web of Science ID 000227319800068
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N=1 supersymmetric one-loop amplitudes and the holomorphic anomaly of unitarity cuts
PHYSICS LETTERS B
2005; 606 (1-2): 189-201
View details for DOI 10.1016/j.physletb.2004.11.073
View details for Web of Science ID 000226435800026
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Recent developments in perturbative QCD
13th International Workshop on Deep Inelastic Scattering (DIS 2005)
AMER INST PHYSICS. 2005: 61–72
View details for Web of Science ID 000233631400006
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MHV rules for Higgs plus multi-gluon amplitudes
JOURNAL OF HIGH ENERGY PHYSICS
2004
View details for Web of Science ID 000226916900015
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N=4 Super-Yang-Mills theory, QCD and collider physics
COMPTES RENDUS PHYSIQUE
2004; 5 (9-10): 955-964
View details for DOI 10.1016/j.crhy.2004.09.007
View details for Web of Science ID 000226329700003
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Two-loop splitting amplitudes
NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS
2004; 135: 147-151
View details for DOI 10.1016/j.nuclphysbps.2004.09.058
View details for Web of Science ID 000225344100028
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Two-loop g -> gg splitting amplitudes in QCD
JOURNAL OF HIGH ENERGY PHYSICS
2004
View details for Web of Science ID 000224350200012
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Radiative corrections to the azimuthal asymmetry in transversely polarized Moller scattering
PHYSICAL REVIEW D
2004; 69 (11)
View details for DOI 10.1103/PhysRevD.69.113001
View details for Web of Science ID 000222502900011
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High-precision QCD at hadron colliders: Electroweak gauge boson rapidity distributions at next-to-next-to leading order
PHYSICAL REVIEW D
2004; 69 (9)
View details for DOI 10.1103/PhysRevD.69.094008
View details for Web of Science ID 000221907400021
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Cross-order relations in N=4 supersymmetric gauge theories
QUANTUM THEORY AND SYMMETRIES
2004: 275-280
View details for Web of Science ID 000229932300032
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Planar amplitudes in maximally supersymmetric Yang-Mills theory
PHYSICAL REVIEW LETTERS
2003; 91 (25)
Abstract
The collinear factorization properties of two-loop scattering amplitudes in dimensionally regulated N=4 super-Yang-Mills theory suggest that, in the planar ('t Hooft) limit, higher-loop contributions can be expressed entirely in terms of one-loop amplitudes. We demonstrate this relation explicitly for the two-loop four-point amplitude and, based on the collinear limits, conjecture an analogous relation for n-point amplitudes. The simplicity of the relation is consistent with intuition based on the anti-de Sitter/conformal field theory correspondence that the form of the large-N(c) L-loop amplitudes should be simple enough to allow a resummation to all orders.
View details for DOI 10.1103/PhysRevLett.91.251602
View details for Web of Science ID 000187430900008
View details for PubMedID 14754105
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Dilepton rapidity distribution in the Drell-Yan process at next-to-next-to-leading order in QCD
PHYSICAL REVIEW LETTERS
2003; 91 (18)
Abstract
We compute the rapidity distribution of the virtual photon produced in the Drell-Yan process through next-to-next-to-leading order in perturbative QCD. We introduce a powerful new method for calculating differential distributions in hard scattering processes. This method is based upon a generalization of the optical theorem; it allows the integration-by-parts technology developed for multiloop diagrams to be applied to noninclusive phase-space integrals, and permits a high degree of automation. We apply our results to the analysis of fixed-target experiments.
View details for DOI 10.1103/PhysRevLett.91.182002
View details for Web of Science ID 000186274800008
View details for PubMedID 14611276
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Resonance-continuum interference in the diphoton Higgs signal at the LHC
PHYSICAL REVIEW LETTERS
2003; 90 (25)
Abstract
A low mass standard model Higgs boson should be visible at the Large Hadron Collider through its production via gluon-gluon fusion and its decay to two photons. We compute the interference of this resonant process, gg-->H-->gammagamma, with the continuum QCD background, gg-->gammagamma, induced by quark loops. Helicity selection rules suppress the effect, which is dominantly due to the imaginary part of the two-loop gg-->gammagamma scattering amplitude. The interference is destructive, but only of order 5% in the standard model, which is still below the 10%-20% present accuracy of the total cross section prediction. We comment on the potential size of such effects in other Higgs models.
View details for DOI 10.1103/PhysRevLett.90.252001
View details for Web of Science ID 000183801300009
View details for PubMedID 12857125
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Two-loop helicity amplitudes for quark-gluon scattering in QCD and gluino-gluon scattering in supersymmetric Yang-Mills theory
JOURNAL OF HIGH ENERGY PHYSICS
2003
View details for Web of Science ID 000185083400028
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NLO Higgs boson rapidity distributions at hadron colliders
6th International Symposium on Radiative Corrections/6th Zeuthen Workshop on Elementary Particle Theory
ELSEVIER SCIENCE BV. 2003: 193–197
View details for DOI 10.1016/S0920-5632(02)02338-1
View details for Web of Science ID 000181579300037
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The di-photon background to a light Higgs boson at the LHC
6th International Symposium on Radiative Corrections/6th Zeuthen Workshop on Elementary Particle Theory
ELSEVIER SCIENCE BV. 2003: 178–182
View details for DOI 10.1016/S0920-5632(02)02335-6
View details for Web of Science ID 000181579300034
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Two-loop corrections to gg ->gamma gamma
6th International Symposium on Radiative Corrections/6th Zeuthen Workshop on Elementary Particle Theory
ELSEVIER SCIENCE BV. 2003: 173–177
View details for DOI 10.1016/S0920-5632(02)02334-4
View details for Web of Science ID 000181579300033
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Supersymmetric regularization, two-loop QCD amplitudes, and coupling shifts
PHYSICAL REVIEW D
2002; 66 (8)
View details for DOI 10.1103/PhysRevD.66.085002
View details for Web of Science ID 000179081500054
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Isolating a light Higgs boson from the diphoton background at the CERN LHC
PHYSICAL REVIEW D
2002; 66 (7)
View details for DOI 10.1103/PhysRevD.66.074018
View details for Web of Science ID 000179068200030
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Two-loop helicity amplitudes for gluon-gluon scattering in QCD and supersymmetric Yang-Mills theory
JOURNAL OF HIGH ENERGY PHYSICS
2002
View details for Web of Science ID 000175277100018
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QCD and QED corrections to light-by-light scattering
JOURNAL OF HIGH ENERGY PHYSICS
2001
View details for Web of Science ID 000174174000031
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Two-loop amplitudes for gluon fusion into two photons
JOURNAL OF HIGH ENERGY PHYSICS
2001
View details for Web of Science ID 000173273200037
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Two-loop correction to Bhabha scattering
PHYSICAL REVIEW D
2001; 63 (5)
View details for Web of Science ID 000167258000012
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On perturbative gravity and gauge theory
NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS
2000; 88: 194-203
View details for Web of Science ID 000087569500023
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New color decompositions for gauge amplitudes at tree and loop level
NUCLEAR PHYSICS B
2000; 571 (1-2): 51-70
View details for Web of Science ID 000086424900003
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Perturbative relations between gravity and gauge theory
CLASSICAL AND QUANTUM GRAVITY
2000; 17 (5): 979-988
View details for Web of Science ID 000086104100008
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A two-loop four-gluon helicity amplitude in QCD
JOURNAL OF HIGH ENERGY PHYSICS
2000
View details for Web of Science ID 000170068700027
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Vector boson pair production in hadronic collisions at O(alpha(s)): Lepton correlations and anomalous couplings
PHYSICAL REVIEW D
1999; 60 (11)
View details for Web of Science ID 000084138100056
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Multi-leg one-loop gravity amplitudes from gauge theory
NUCLEAR PHYSICS B
1999; 546 (1-2): 423-479
View details for Web of Science ID 000080276500021
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One-loop n-point helicity amplitudes in (self-dual) gravity
PHYSICS LETTERS B
1998; 444 (3-4): 273-283
View details for Web of Science ID 000078100500007
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Helicity amplitudes for O(alpha(s)) production of W+W-, W(+/-)Z, ZZ, W-+/-gamma, or Z gamma pairs at hadron colliders
NUCLEAR PHYSICS B
1998; 531 (1-3): 3-23
View details for Web of Science ID 000076831300001
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On the relationship between Yang-Mills theory and gravity and its implication for ultraviolet divergences
NUCLEAR PHYSICS B
1998; 530 (1-2): 401-456
View details for Web of Science ID 000076665200014
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One-loop amplitudes for e(+)e(-) to four partons
NUCLEAR PHYSICS B
1998; 513 (1-2): 3-86
View details for Web of Science ID 000072820000001
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Multi-parton loop amplitudes and next-to-leading order jet cross-sections
International Symposium on QCD Corrections and New Physics
WORLD SCIENTIFIC PUBL CO PTE LTD. 1998: 185–203
View details for Web of Science ID 000078048700014
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Complete O(alpha(3)(s)) results for e(+)e(-)->(gamma,Z)->four jets
PHYSICAL REVIEW D
1997; 56 (7): 4031-4038
View details for Web of Science ID A1997YA57300024
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One-loop amplitudes for e(+)e(-)->(q)over-bar q(Q)over-bar-Q
NUCLEAR PHYSICS B
1997; 489 (1-2): 3-23
View details for Web of Science ID A1997WP44600001
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One-loop self-dual and N=4 super Yang-Mills
PHYSICS LETTERS B
1997; 394 (1-2): 105-115
View details for Web of Science ID A1997WK79300018
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Electron-positron annihilation into four jets at next-to-leading order in alpha(s)
PHYSICAL REVIEW LETTERS
1997; 78 (5): 811-814
View details for Web of Science ID A1997WG70200015
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Advanced techniques for multiparton loop calculations: A minirevew
5th International Workshop on Deep Inelastic Scattering and QCD (DIS97)
AIP PRESS. 1997: 903–7
View details for Web of Science ID 000071312000136
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Unitarity-based techniques for one-loop calculations in QCD
1996 Zeuthen Workshop on Elementary Particle Theory - QCD and QED in Higher Orders
ELSEVIER SCIENCE BV. 1996: 243–249
View details for Web of Science ID A1996WB01500031
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Event handedness in e(+)e(-) annihilation to three jets
PHYSICAL REVIEW D
1996; 53 (3): 1264-1281
View details for Web of Science ID A1996TV64700026
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Progress in one-loop QCD computations
ANNUAL REVIEW OF NUCLEAR AND PARTICLE SCIENCE
1996; 46: 109-148
View details for Web of Science ID A1996VX11200005
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Strings and supersymmetry as tools for perturbative QCD
1995 International Workshop on Supersymmetry and Unification of Fundamental Interactions (Susy 95)
EDITIONS FRONTIERES. 1996: 499–508
View details for Web of Science ID A1996BG72T00047
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ONE-LOOP CORRECTIONS TO 2-QUARK 3-GLUON AMPLITUDES
NUCLEAR PHYSICS B
1995; 437 (2): 259-304
View details for Web of Science ID A1995QK36000001
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RECENT PROGRESS IN ONE-LOOP MULTI-PARTON CALCULATIONS
NUCLEAR PHYSICS B
1995: 146-149
View details for Web of Science ID A1995QP38900031
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FUSING GAUGE-THEORY TREE AMPLITUDES INTO LOOP AMPLITUDES
NUCLEAR PHYSICS B
1995; 435 (1-2): 59-101
View details for Web of Science ID A1995QD39300003
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ONE-LOOP N-POINT GAUGE-THEORY AMPLITUDES, UNITARITY AND COLLINEAR LIMITS
NUCLEAR PHYSICS B
1994; 425 (1-2): 217-260
View details for Web of Science ID A1994PG73500010
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TESTING GLUON SELF-INTERACTIONS IN 3-JET EVENTS AT HADRON COLLIDERS
NUCLEAR PHYSICS B
1994; 423 (1): 3-32
View details for Web of Science ID A1994PD06900001
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ONE-LOOP N-GLUON AMPLITUDES WITH MAXIMAL HELICITY VIOLATION VIA COLLINEAR LIMITS
PHYSICAL REVIEW LETTERS
1994; 72 (14): 2134-2137
View details for Web of Science ID A1994NE03000003
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DIMENSIONALLY-REGULATED PENTAGON INTEGRALS
NUCLEAR PHYSICS B
1994; 412 (3): 751-816
View details for Web of Science ID A1994MV62900010
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ONE-LOOP CORRECTIONS TO 5-GLUON AMPLITUDES
PHYSICAL REVIEW LETTERS
1993; 70 (18): 2677-2680
View details for Web of Science ID A1993KZ98900005
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DIMENSIONALLY REGULATED ONE-LOOP INTEGRALS
PHYSICS LETTERS B
1993; 302 (2-3): 299-308
View details for Web of Science ID A1993KT53000031
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COSMOLOGICAL AND ASTROPHYSICAL CONSTRAINTS ON A PSEUDO-DIRAC TAU NEUTRINO
PHYSICS LETTERS B
1991; 266 (3-4): 425-430
View details for Web of Science ID A1991GF92400032
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MODULI DEPENDENCE OF STRING LOOP CORRECTIONS TO GAUGE COUPLING-CONSTANTS
NUCLEAR PHYSICS B
1991; 355 (3): 649-688
View details for Web of Science ID A1991FL64900003
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THE ELECTRIC-DIPOLE MOMENT OF THE NEUTRON IN THE SKYRME MODEL
PHYSICS LETTERS B
1991; 253 (3-4): 459-464
View details for Web of Science ID A1991EX36400034
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ON EFFECTIVE FIELD-THEORIES DESCRIBING (2,2) VACUA OF THE HETEROTIC STRING
NUCLEAR PHYSICS B
1990; 329 (1): 27-82
View details for Web of Science ID A1990CJ67300003
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N=2 SUPERCONFORMAL SYMMETRY AND SO(2,1) CURRENT-ALGEBRA
NUCLEAR PHYSICS B
1989; 325 (2): 329-355
View details for Web of Science ID A1989AW53600003
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CONSTRAINTS ON STRING VACUA WITH SPACETIME SUPERSYMMETRY
NUCLEAR PHYSICS B
1988; 307 (1): 93-108
View details for Web of Science ID A1988P746000005
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C=1 SUPERCONFORMAL FIELD-THEORY
NUCLEAR PHYSICS B
1988; 306 (3): 470-496
View details for Web of Science ID A1988P574400002
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PHENOMENOLOGY AND CONFORMAL FIELD-THEORY OR CAN STRING THEORY PREDICT THE WEAK MIXING ANGLE
NUCLEAR PHYSICS B
1988; 299 (3): 613-626
View details for Web of Science ID A1988M719100009
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MULTI-LOOP TWIST FIELD CORRELATION-FUNCTIONS FOR ZN ORBIFOLDS
NUCLEAR PHYSICS B
1988; 298 (1): 1-35
View details for Web of Science ID A1988L992000001
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BEAUTY AND THE BEAST - SUPERCONFORMAL SYMMETRY IN A MONSTER MODULE
COMMUNICATIONS IN MATHEMATICAL PHYSICS
1988; 119 (2): 221-241
View details for Web of Science ID A1988Q673600004
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ON 4-DIMENSIONAL GAUGE-THEORIES FROM TYPE-II SUPERSTRINGS
NUCLEAR PHYSICS B
1987; 294 (1): 43-82
View details for Web of Science ID A1987K348000003
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STRING CALCULATION OF FAYET-ILIOPOULOS D-TERMS IN ARBITRARY SUPERSYMMETRIC COMPACTIFICATIONS
NUCLEAR PHYSICS B
1987; 292 (1): 109-149
View details for Web of Science ID A1987J483300004
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THE CONFORMAL FIELD-THEORY OF ORBIFOLDS
NUCLEAR PHYSICS B
1987; 282 (1): 13-73
View details for Web of Science ID A1987F563100002
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STRINGS ON ORBIFOLDS .2.
NUCLEAR PHYSICS B
1986; 274 (2): 285-314
View details for Web of Science ID A1986D691600002
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STRINGS ON ORBIFOLDS
NUCLEAR PHYSICS B
1985; 261 (4): 678-686
View details for Web of Science ID A1985AVX8400005