Academic Appointments


  • Professor, Particle Physics and Astrophysics

Administrative Appointments


  • Chair, SLAC PPA Faculty (2011 - 2014)

Honors & Awards


  • Schrodinger Professor, ETH Zurich and University of Zurich (2019)
  • Humboldt Research Award, Alexander von Humboldt Foundation (2017)
  • Distinguished Visitor Research Chair, Perimeter Institute (2014-2020)
  • J.J. Sakurai Prize, American Physical Society (2014)
  • Outstanding Referee, American Physical Society (2008)
  • Fellow, American Physical Society (1995)

Boards, Advisory Committees, Professional Organizations


  • Scientific Advisory Board, Kavli Institute for Theoretical Physics (2017 - 2021)
  • Chair of Organizing Committee, Amplitudes 2018 Conference at SLAC (2017 - 2018)
  • Committee of Visitors, US Department of Energy (2016 - 2016)
  • Chair, Scientific Advisory Board, Theoretical Advanced Study Institute, Boulder, CO (2015 - 2021)
  • Advisory Committee, Galileo Galilei Institute, Florence (2015 - 2018)
  • Co-organizer, Bay Area Particle Theory Seminar (2013 - Present)
  • Scientific Advisory Board, Max Planck Institute for Physics, Munich (2012 - 2021)
  • International Advisory Committee, Higgs Centre for Theoretical Physics, U. Edinburgh (2012 - 2018)
  • Scientific Advisory Committee, Munich Institute for Astro- and Particle Physics (2012 - 2017)
  • Steering Committee, Institute for Particle Physics Phenomenology, Durham, UK (2010 - 2015)
  • High Energy Physics Advisory Panel, US Government (2008 - 2011)
  • Editorial Board, Journal of High Energy Physics (2007 - Present)
  • Executive Committee, SLAC Users' Organization (2004 - 2007)
  • General member, Aspen Center for Physics (1993 - 2003)

Professional Education


  • Ph.D., Princeton University, Physics (1986)
  • 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.

2021-22 Courses


Stanford Advisees


All Publications


  • Fishnet four-point integrals: integrable representations and thermodynamic limits JOURNAL OF HIGH ENERGY PHYSICS Basso, B., Dixon, L. J., Kosower, D. A., Krajenbrink, A., Zhong, D. 2021
  • A three-point form factor through five loops JOURNAL OF HIGH ENERGY PHYSICS Dixon, L. J., McLeod, A. J., Wilhelm, M. 2021
  • Lifting heptagon symbols to functions JOURNAL OF HIGH ENERGY PHYSICS Dixon, L. J., Liu, Y. 2020
  • Soft gluon emission at two loops in full color JOURNAL OF HIGH ENERGY PHYSICS Dixon, L. J., Herrmann, E., Yan, K., Zhu, H. 2020
  • Origin of the Six-Gluon Amplitude in Planar N=4 Supersymmetric Yang-Mills Theory PHYSICAL REVIEW LETTERS Basso, B., Dixon, L. J., Papathanasiou, G. 2020; 124 (16)
  • Origin of the Six-Gluon Amplitude in Planar N=4 Supersymmetric Yang-Mills Theory. Physical review letters Basso, B. n., Dixon, L. J., Papathanasiou, G. n. 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

  • The cosmic Galois group and extended Steinmann relations for planar N=4 SYM amplitudes JOURNAL OF HIGH ENERGY PHYSICS Caron-Huot, S., Dixon, L. J., Dulat, F., von Hippel, M., McLeod, A. J., Papathanasiou, G. 2019
  • Six-Gluon amplitudes in planar N=4 super-Yang-Mills theory at six and seven loops JOURNAL OF HIGH ENERGY PHYSICS Caron-Huot, S., Dixon, L. J., Dulat, F., von Hippel, M., McLeod, A. J., Papathanasiou, G. 2019
  • Collinear limit of the energy-energy correlator PHYSICAL REVIEW D Dixon, L. J., Moult, I., Zhu, H. 2019; 100 (1)
  • Two-Loop Five-Point Amplitude in N=4 Super-Yang-Mills Theory PHYSICAL REVIEW LETTERS Abreu, S., Dixon, L. J., Herrmann, E., Page, B., Zeng, M. 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

  • The two-loop five-point amplitude in N=8 supergravity JOURNAL OF HIGH ENERGY PHYSICS Abreu, S., Dixon, L. J., Herrmann, E., Page, B., Zeng, M. 2019
  • The double pentaladder integral to all orders JOURNAL OF HIGH ENERGY PHYSICS Caron-Huot, S., Dixon, L. J., von Hippal, M., McLeod, A. J., Papathanasiou, G. 2018
  • Analytical Computation of Energy-Energy Correlation at Next-to-Leading Order in QCD PHYSICAL REVIEW LETTERS Dixon, L. J., Luo, M., Shtabovenko, V., Yang, T., Zhu, H. 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

  • The principle of maximal transcendentality and the four-loop collinear anomalous dimension JOURNAL OF HIGH ENERGY PHYSICS Dixon, L. J. 2018
  • Heptagons from the Steinmann cluster bootstrap JOURNAL OF HIGH ENERGY PHYSICS Dixon, L. J., Drummond, J., Harrington, T., McLeod, A. J., Papathanasiou, G., Spradlin, M. 2017
  • Two-loop renormalization of quantum gravity simplified PHYSICAL REVIEW D Bern, Z., Chi, H., Dixon, L., Edison, A. 2017; 95 (4)
  • Multi-loop positivity of the planar N=4 SYM six-point amplitude JOURNAL OF HIGH ENERGY PHYSICS Dixon, L. J., von Hippel, M., McLeod, A. J., Trnka, J. 2017
  • Gluing Ladder Feynman Diagrams into Fishnets. Physical review letters Basso, B. n., Dixon, L. J. 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 PubMedID 28949672

  • Bootstrapping a Five-Loop Amplitude Using Steinmann Relations PHYSICAL REVIEW LETTERS Caron-Huot, S., Dixon, L. J., McLeod, A., von Hippel, M. 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

  • The four-loop six-gluon NMHV ratio function JOURNAL OF HIGH ENERGY PHYSICS Dixon, L. J., von Hippel, M., McLeod, A. J. 2016
  • Evanescent Effects can Alter Ultraviolet Divergences in Quantum Gravity without Physical Consequences. Physical review letters Bern, Z., Cheung, C., Chi, H., Davies, S., Dixon, L., Nohle, J. 2015; 115 (21): 211301-?

    View details for DOI 10.1103/PhysRevLett.115.211301

    View details for PubMedID 26636841

  • Interference effects in the H(->gamma gamma)+2 jets channel at the LHC PHYSICAL REVIEW D Coradeschi, F., de Florian, D., Dixon, L. J., Fidanza, N., Hoeche, S., Ita, H., Li, Y., Mazzitelli, J. 2015; 92 (1)
  • Extrapolating W-associated jet-production ratios at the LHC PHYSICAL REVIEW D Bern, Z., Dixon, L. J., Febres Cordero, F., Hoeche, S., Ita, H., Kosower, D. A., MAITRE, D. 2015; 92 (1)
  • Bootstrapping an NMHV amplitude through three loops JOURNAL OF HIGH ENERGY PHYSICS Dixon, L. J., von Hippel, M. 2014
  • Next-to-leading order gamma gamma+2-jet production at the LHC PHYSICAL REVIEW D Bern, Z., Dixon, L. J., Cordero, F. F., Hoeche, S., Ita, H., Kosower, D. A., Lo Presti, N. A., MAITRE, D. 2014; 90 (5)
  • The four-loop remainder function and multi-Regge behavior at NNLLA in planar N=4 super-Yang-Mills theory JOURNAL OF HIGH ENERGY PHYSICS Dixon, L. J., Drummond, J. M., Duhr, C., Pennington, J. 2014
  • Ntuples for NLO events at hadron colliders COMPUTER PHYSICS COMMUNICATIONS Bern, Z., Dixon, L. J., Febres Cordero, F., Hoeche, S., Ita, H., Kosower, D. A., Maitre, D. 2014; 185 (5): 1443-1460
  • The BFKL equation, Mueller-Navelet jets and single-valued harmonic polylogarithms JOURNAL OF HIGH ENERGY PHYSICS Del Duca, V., Dixon, L. J., Duhr, C., Pennington, J. 2014
  • Hexagon functions and the three-loop remainder function JOURNAL OF HIGH ENERGY PHYSICS Dixon, L. J., Drummond, J. M., von Hippel, M., Pennington, J. 2013
  • Bounding the Higgs Boson Width through Interferometry PHYSICAL REVIEW LETTERS Dixon, L. J., Li, Y. 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

  • Next-to-leading order W+5-jet production at the LHC PHYSICAL REVIEW D Bern, Z., Dixon, L. J., Cordero, F. F., Hoeche, S., Ita, H., Kosower, D. A., MAITRE, D., Ozeren, K. J. 2013; 88 (1)
  • Missing energy and jets for supersymmetry searches PHYSICAL REVIEW D Bern, Z., Diana, G., Dixon, L. J., Febres Cordero, F., Hoeche, S., Ita, H., Kosower, D. A., MAITRE, D., Ozeren, K. J. 2013; 87 (3)
  • D = 5 maximally supersymmetric Yang-Mills theory diverges at six loops PHYSICAL REVIEW D Bern, Z., Carrasco, J. J., Dixon, L. J., Douglas, M. R., von Hippel, M., Johansson, H. 2013; 87 (2)
  • Single-valued harmonic polylogarithms and the multi-Regge limit JOURNAL OF HIGH ENERGY PHYSICS Dixon, L. J., Duhr, C., Pennington, J. 2012
  • Color-kinematics duality and double-copy construction for amplitudes from higher-dimension operators JOURNAL OF HIGH ENERGY PHYSICS Broedel, J., Dixon, L. J. 2012
  • Four-Jet Production at the Large Hadron Collider at Next-to-Leading Order in QCD PHYSICAL REVIEW LETTERS Bern, Z., Diana, G., Dixon, L. J., Febres Cordero, F., Hoeche, S., Kosower, D. A., Ita, H., MAITRE, D., Ozeren, K. 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

  • Simplifying multiloop integrands and ultraviolet divergences of gauge theory and gravity amplitudes PHYSICAL REVIEW D Bern, Z., Carrasco, J. J., Dixon, L. J., Johansson, H., Roiban, R. 2012; 85 (10)
  • LOOPS, TREES AND THE SEARCH FOR NEW PHYSICS SCIENTIFIC AMERICAN Bern, Z., Dixon, L. J., Kosower, D. A. 2012; 306 (5): 34-41

    View details for Web of Science ID 000302978000022

    View details for PubMedID 22550920

  • Precise predictions for Z-boson +4 jet production at hadron colliders PHYSICAL REVIEW D Ita, H., Bern, Z., Dixon, L. J., Febres Cordero, F., Kosower, D. A., MAITRE, D. 2012; 85 (3)
  • Analytic result for the two-loop six-point NMHV amplitude in N=4 super Yang-Mills theory JOURNAL OF HIGH ENERGY PHYSICS Dixon, L. J., Drummond, J. M., Henn, J. M. 2012
  • Driving missing data at next-to-leading order PHYSICAL REVIEW D Bern, Z., Diana, G., Dixon, L. J., Febres Cordero, F., Hoeche, S., Ita, H., Kosower, D. A., MAITRE, D., Ozeren, K. J. 2011; 84 (11)
  • N >= 4 supergravity amplitudes from gauge theory at two loops JOURNAL OF HIGH ENERGY PHYSICS Boucher-Veronneau, C., Dixon, L. J. 2011
  • Scattering amplitudes: the most perfect microscopic structures in the universe JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL Dixon, L. J. 2011; 44 (45)
  • Bootstrapping the three-loop hexagon JOURNAL OF HIGH ENERGY PHYSICS Dixon, L. J., Drummond, J. M., Henn, J. M. 2011
  • The one-loop six-dimensional hexagon integral with three massive corners PHYSICAL REVIEW D Del Duca, V., Dixon, L. J., Drummond, J. M., Duhr, C., Henn, J. M., Smirnov, V. A. 2011; 84 (4)
  • Left-handed W bosons at the LHC PHYSICAL REVIEW D Bern, Z., Diana, G., Dixon, L. J., Febres Cordero, F., Forde, D., Gleisberg, T., Hoeche, S., Ita, H., Kosower, D. A., MAITRE, D., Ozeren, K. 2011; 84 (3)
  • Amplitudes and ultraviolet behavior of N=8 supergravity 16th European Workshop on String Theory Bern, Z., Carrasco, J. J., Dixon, L. J., Johansson, H., Roiban, R. WILEY-V C H VERLAG GMBH. 2011: 561–78
  • The one-loop six-dimensional hexagon integral and its relation to MHV amplitudes in N=4 SYM JOURNAL OF HIGH ENERGY PHYSICS Dixon, L. J., Drummond, J. M., Henn, J. M. 2011
  • Precise Predictions for W+4-Jet Production at the Large Hadron Collider PHYSICAL REVIEW LETTERS Berger, C. F., Bern, Z., Dixon, L. J., Cordero, F. F., Forde, D., Gleisberg, T., Ita, H., Kosower, D. A., MAITRE, D. 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

  • A tree-level amplitudes in massless QCD JOURNAL OF HIGH ENERGY PHYSICS Dixon, L. J., Henn, J. M., Plefka, J., Schuster, T. 2011
  • Complete four-loop four-point amplitude in N=4 super-Yang-Mills theory PHYSICAL REVIEW D Bern, Z., Carrasco, J. J., Dixon, L. J., Johansson, H., Roiban, R. 2010; 82 (12)
  • Next-to-leading order QCD predictions for Z,gamma*+3-jet distributions at the Tevatron PHYSICAL REVIEW D Berger, C. F., Bern, Z., Dixon, L. J., Febres Cordero, F., Forde, D., Gleisberg, T., Ita, H., Kosower, D. A., MAITRE, D. 2010; 82 (7)
  • Vector Boson plus Jets with BLACKHAT and SHERPA 10th DESY Workshop on Elementary Particle Theory Berger, C. F., Bern, Z., Dixon, L. J., Cordero, F. F., Forde, D., Gleisberg, T., Ita, H., Kosower, D. A., MAITRE, D. ELSEVIER SCIENCE BV. 2010: 92–97
  • R-4 counterterm and E-7(7) symmetry in maximal supergravity JOURNAL OF HIGH ENERGY PHYSICS Broedel, J., Dixon, L. J. 2010
  • On soft singularities at three loops and beyond JOURNAL OF HIGH ENERGY PHYSICS Dixon, L. J., Gardi, E., Magnea, L. 2010
  • Next-to-leading order QCD predictions for W+3-jet distributions at hadron colliders PHYSICAL REVIEW D Berger, C. F., Bern, Z., Dixon, L. J., Cordero, F. F., Forde, D., Gleisberg, T., Ita, H., Kosower, D. A., MAITRE, D. 2009; 80 (7)
  • Ultraviolet Behavior of N=8 Supergravity at Four Loops PHYSICAL REVIEW LETTERS Bern, Z., Carrasco, J. J., Dixon, L. J., Johansson, H., Roiban, R. 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

  • Analytic one-loop amplitudes for a Higgs boson plus four partons JOURNAL OF HIGH ENERGY PHYSICS Dixon, L. J., Sofianatos, Y. 2009
  • Precise Predictions for W+3 Jet Production at Hadron Colliders PHYSICAL REVIEW LETTERS Berger, C. F., Bern, Z., Dixon, L. J., Cordero, F. F., Forde, D., Gleisberg, T., Ita, H., Kosower, D. A., MAITRE, D. 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

  • Matter dependence of the three-loop soft-anomalous-dimension matrix PHYSICAL REVIEW D Dixon, L. J. 2009; 79 (9)
  • Resonance-continuum interference in light Higgs boson production at a photon collider PHYSICAL REVIEW D Dixon, L. J., Sofianatos, Y. 2009; 79 (3)
  • Manifest ultraviolet behavior for the three-loop four-point amplitude of N=8 supergravity PHYSICAL REVIEW D Bern, Z., Carrasco, J. J., Dixon, L. J., Johansson, H., Roiban, R. 2008; 78 (10)
  • One-Loop Calculations with BlackHat NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS Berger, C. F., Bern, Z., Dixon, L. J., Cordero, F. F., Forde, D., Ita, H., Kosower, D. A., MAITRE, D. 2008; 183: 313-319
  • Two-loop six-gluon maximally helicity violating amplitude in maximally supersymmetric Yang-Mills theory PHYSICAL REVIEW D Bern, Z., Dixon, L. J., Kosower, D. A., Roiban, R., Spradlin, M., Vergu, C., Volovich, A. 2008; 78 (4)
  • Automated implementation of on-shell methods for one-loop amplitudes PHYSICAL REVIEW D Berger, C. F., Bern, Z., Dixon, L. J., Cordero, F. F., Forde, D., Ita, H., Kosower, D. A., MAITRE, D. 2008; 78 (3)
  • Universal structure of subleading infrared poles in gauge theory amplitudes JOURNAL OF HIGH ENERGY PHYSICS Dixon, L. J., Magnea, L., Sterman, G. 2008
  • On-shell methods in perturbative QCD ANNALS OF PHYSICS Bern, Z., Dixon, L. J., Kosower, D. A. 2007; 322 (7): 1587-1634
  • Cancellations beyond finiteness in N=8 supergravity at three loops PHYSICAL REVIEW LETTERS Bern, Z., Carrasco, J. J., Dixon, L. J., Johansson, H., Kosower, D. A., Roiban, R. 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

  • Four-loop planar amplitude and cusp anomalous dimension in maximally supersymmetric Yang-Mills theory PHYSICAL REVIEW D Bern, Z., Czakon, M., Dixon, L. J., Kosower, D. A., Smirnov, V. A. 2007; 75 (8)
  • Is N=8 supergravity ultraviolet finite? PHYSICS LETTERS B Bern, Z., Dixon, L. J., Roiban, R. 2007; 644 (4): 265-271
  • All one-loop maximally helicity violating gluonic amplitudes in QCD PHYSICAL REVIEW D Berger, C. F., Bern, Z., Dixon, L. J., Forde, D., Kosower, D. A. 2007; 75 (1)
  • Recursive construction of Higgs plus multiparton loop amplitudes: The last of the "phi-nite" loop amplitudes PHYSICAL REVIEW D Berger, C. F., Del Duca, V., Dixon, L. J. 2006; 74 (9)
  • On-shell unitarity bootstrap for QCD amplitudes 8th DESY Workshop on Elementary Particle Theory Berger, C. F., Bern, Z., Dixon, L. J., Forde, D., Kosower, D. A. ELSEVIER SCIENCE BV. 2006: 261–270
  • Two-loop soft anomalous dimension matrix and resummation at next-to-next-to-leading poles PHYSICAL REVIEW D Aybat, S. M., Dixon, L. J., Sterman, G. 2006; 74 (7)
  • Two-loop anomalous-dimension matrix for soft-gluon exchange PHYSICAL REVIEW LETTERS Aybat, S. M., Dixon, L. J., Sterman, G. 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

  • Bootstrapping one-loop QCD amplitudes with general helicities PHYSICAL REVIEW D Berger, C. F., Bern, Z., Dixon, L. J., Forde, D., Kosower, D. A. 2006; 74 (3)
  • Bootstrapping multiparton loop amplitudes in QCD PHYSICAL REVIEW D Bern, Z., Dixon, L. J., Kosower, D. A. 2006; 73 (6)
  • Last of the finite loop amplitudes in QCD PHYSICAL REVIEW D Bern, Z., Dixon, L. J., Kosower, D. A. 2005; 72 (12)
  • Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond PHYSICAL REVIEW D Bern, Z., Dixon, L. J., Smirnov, V. A. 2005; 72 (8)
  • All next-to-maximally-helicity-violating one-loop gluon amplitudes in N=4 super-Yang-Mills theory PHYSICAL REVIEW D Bern, Z., Dixon, L. J., Kosower, D. A. 2005; 72 (4)
  • On-shell recurrence relations for one-loop QCD amplitudes PHYSICAL REVIEW D Bern, Z., Dixon, L. J., Kosower, D. A. 2005; 71 (10)
  • All non-maximally-helicity-violating one-loop seven-gluon amplitudes in N=4 super-Yang-Mills theory PHYSICAL REVIEW D Bern, Z., Del Duca, V., Dixon, L. J., Kosower, D. A. 2005; 71 (4)
  • N=1 supersymmetric one-loop amplitudes and the holomorphic anomaly of unitarity cuts PHYSICS LETTERS B Bidder, S. J., Bjerrum-Bohr, N. E., Dixon, L. J., Dunbar, D. C. 2005; 606 (1-2): 189-201
  • Recent developments in perturbative QCD 13th International Workshop on Deep Inelastic Scattering (DIS 2005) Dixon, L. J. AMER INST PHYSICS. 2005: 61–72
  • MHV rules for Higgs plus multi-gluon amplitudes JOURNAL OF HIGH ENERGY PHYSICS Dixon, L. J., Glover, E. W., Khoze, V. V. 2004
  • N=4 Super-Yang-Mills theory, QCD and collider physics COMPTES RENDUS PHYSIQUE Bern, Z., Dixon, L. J., Kosower, D. A. 2004; 5 (9-10): 955-964
  • Two-loop splitting amplitudes NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS Bern, Z., Dixon, L. J., Kosower, D. A. 2004; 135: 147-151
  • Two-loop g -> gg splitting amplitudes in QCD JOURNAL OF HIGH ENERGY PHYSICS Bern, Z., Dixon, L. J., Kosower, D. A. 2004
  • Radiative corrections to the azimuthal asymmetry in transversely polarized Moller scattering PHYSICAL REVIEW D Dixon, L., Schreiber, M. 2004; 69 (11)
  • High-precision QCD at hadron colliders: Electroweak gauge boson rapidity distributions at next-to-next-to leading order PHYSICAL REVIEW D Anastasiou, C., Dixon, L., Melnikov, K., Petriello, F. 2004; 69 (9)
  • Cross-order relations in N=4 supersymmetric gauge theories QUANTUM THEORY AND SYMMETRIES Anastasiou, C., Dixon, L. J., Bern, Z., Kosower, D. A. 2004: 275-280
  • Planar amplitudes in maximally supersymmetric Yang-Mills theory PHYSICAL REVIEW LETTERS Anastasiou, C., Dixon, L., Bern, Z., Kosower, D. A. 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

  • Dilepton rapidity distribution in the Drell-Yan process at next-to-next-to-leading order in QCD PHYSICAL REVIEW LETTERS Anastasiou, C., Dixon, L., Melnikov, K., Petriello, F. 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

  • Resonance-continuum interference in the diphoton Higgs signal at the LHC PHYSICAL REVIEW LETTERS Dixon, L., Siu, M. S. 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

  • Two-loop helicity amplitudes for quark-gluon scattering in QCD and gluino-gluon scattering in supersymmetric Yang-Mills theory JOURNAL OF HIGH ENERGY PHYSICS Bern, Z., De Freitas, A., Dixon, L. 2003
  • NLO Higgs boson rapidity distributions at hadron colliders 6th International Symposium on Radiative Corrections/6th Zeuthen Workshop on Elementary Particle Theory Anastasiou, C., Dixon, L., Melnikov, K. ELSEVIER SCIENCE BV. 2003: 193–197
  • 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 Bern, Z., Dixon, L., Schmidt, C. ELSEVIER SCIENCE BV. 2003: 178–182
  • Two-loop corrections to gg ->gamma gamma 6th International Symposium on Radiative Corrections/6th Zeuthen Workshop on Elementary Particle Theory Bern, Z., De Freitas, A., Dixon, L. ELSEVIER SCIENCE BV. 2003: 173–177
  • Supersymmetric regularization, two-loop QCD amplitudes, and coupling shifts PHYSICAL REVIEW D Bern, Z., De Freitas, A., Dixon, L., Wong, H. L. 2002; 66 (8)
  • Isolating a light Higgs boson from the diphoton background at the CERN LHC PHYSICAL REVIEW D Bern, Z., Dixon, L., Schmidt, C. 2002; 66 (7)
  • Two-loop helicity amplitudes for gluon-gluon scattering in QCD and supersymmetric Yang-Mills theory JOURNAL OF HIGH ENERGY PHYSICS Bern, Z., De Freitas, A., Dixon, L. 2002
  • QCD and QED corrections to light-by-light scattering JOURNAL OF HIGH ENERGY PHYSICS Bern, Z., De Freitas, A., Ghinculov, A., Wong, H., Dixon, L. 2001
  • Two-loop amplitudes for gluon fusion into two photons JOURNAL OF HIGH ENERGY PHYSICS Bern, Z., De Freitas, A., Dixon, L. 2001
  • Two-loop correction to Bhabha scattering PHYSICAL REVIEW D Bern, Z., Dixon, L., Ghinculov, A. 2001; 63 (5)
  • On perturbative gravity and gauge theory NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS Bern, Z., Dixon, L., Dunbar, D. C., Grant, A. K., Perelstein, M., Rozowsky, J. S. 2000; 88: 194-203
  • New color decompositions for gauge amplitudes at tree and loop level NUCLEAR PHYSICS B Del Duca, V., Dixon, L., Maltoni, F. 2000; 571 (1-2): 51-70
  • Perturbative relations between gravity and gauge theory CLASSICAL AND QUANTUM GRAVITY Bern, Z., Dixon, L., Dunbar, D. C., Perelstein, M., Rozowsky, J. S. 2000; 17 (5): 979-988
  • A two-loop four-gluon helicity amplitude in QCD JOURNAL OF HIGH ENERGY PHYSICS Bern, Z., Dixon, L., Kosower, D. A. 2000
  • Vector boson pair production in hadronic collisions at O(alpha(s)): Lepton correlations and anomalous couplings PHYSICAL REVIEW D Dixon, L., Kunszt, Z., Signer, A. 1999; 60 (11)
  • Multi-leg one-loop gravity amplitudes from gauge theory NUCLEAR PHYSICS B Bern, Z., Dixon, L., Perelstein, M., Rozowsky, J. S. 1999; 546 (1-2): 423-479
  • One-loop n-point helicity amplitudes in (self-dual) gravity PHYSICS LETTERS B Bern, Z., Dixon, L., Perelstein, M., Rozowsky, J. S. 1998; 444 (3-4): 273-283
  • 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 Dixon, L., Kunszt, Z., Signer, A. 1998; 531 (1-3): 3-23
  • On the relationship between Yang-Mills theory and gravity and its implication for ultraviolet divergences NUCLEAR PHYSICS B Bern, Z., Dixon, L., Dunbar, D. C., Perelstein, M., Rozowsky, J. S. 1998; 530 (1-2): 401-456
  • One-loop amplitudes for e(+)e(-) to four partons NUCLEAR PHYSICS B Bern, Z., Dixon, L., Kosower, D. A. 1998; 513 (1-2): 3-86
  • Multi-parton loop amplitudes and next-to-leading order jet cross-sections International Symposium on QCD Corrections and New Physics Bern, Z., Dixon, L., Kosower, D. A., Signer, A. WORLD SCIENTIFIC PUBL CO PTE LTD. 1998: 185–203
  • Complete O(alpha(3)(s)) results for e(+)e(-)->(gamma,Z)->four jets PHYSICAL REVIEW D Dixon, L., Signer, A. 1997; 56 (7): 4031-4038
  • One-loop amplitudes for e(+)e(-)->(q)over-bar q(Q)over-bar-Q NUCLEAR PHYSICS B Bern, Z., Dixon, L., Kosower, D. A., Weinzierl, S. 1997; 489 (1-2): 3-23
  • One-loop self-dual and N=4 super Yang-Mills PHYSICS LETTERS B Bern, Z., Dixon, L., Dunbar, D. C., Kosower, D. A. 1997; 394 (1-2): 105-115
  • Electron-positron annihilation into four jets at next-to-leading order in alpha(s) PHYSICAL REVIEW LETTERS Signer, A., Dixon, L. 1997; 78 (5): 811-814
  • Advanced techniques for multiparton loop calculations: A minirevew 5th International Workshop on Deep Inelastic Scattering and QCD (DIS97) Bern, Z., Dixon, L., Dunbar, D. C., Kosower, D. A. AIP PRESS. 1997: 903–7
  • Unitarity-based techniques for one-loop calculations in QCD 1996 Zeuthen Workshop on Elementary Particle Theory - QCD and QED in Higher Orders Bern, Z., Dixon, L., Kosower, D. A. ELSEVIER SCIENCE BV. 1996: 243–249
  • Event handedness in e(+)e(-) annihilation to three jets PHYSICAL REVIEW D Brandenburg, A., Dixon, L., Shadmi, Y. 1996; 53 (3): 1264-1281
  • Progress in one-loop QCD computations ANNUAL REVIEW OF NUCLEAR AND PARTICLE SCIENCE Bern, Z., Dixon, L., Kosower, D. A. 1996; 46: 109-148
  • Strings and supersymmetry as tools for perturbative QCD 1995 International Workshop on Supersymmetry and Unification of Fundamental Interactions (Susy 95) Dixon, L. EDITIONS FRONTIERES. 1996: 499–508
  • ONE-LOOP CORRECTIONS TO 2-QUARK 3-GLUON AMPLITUDES NUCLEAR PHYSICS B Bern, Z., Dixon, L., Kosower, D. A. 1995; 437 (2): 259-304
  • RECENT PROGRESS IN ONE-LOOP MULTI-PARTON CALCULATIONS NUCLEAR PHYSICS B Bern, Z., Dixon, L., Dunbar, D. C., Kosower, D. A. 1995: 146-149
  • FUSING GAUGE-THEORY TREE AMPLITUDES INTO LOOP AMPLITUDES NUCLEAR PHYSICS B Bern, Z., Dixon, L., Dunbar, D. C., Kosower, D. A. 1995; 435 (1-2): 59-101
  • ONE-LOOP N-POINT GAUGE-THEORY AMPLITUDES, UNITARITY AND COLLINEAR LIMITS NUCLEAR PHYSICS B Bern, Z., Dixon, L., Dunbar, D. C., Kosower, D. A. 1994; 425 (1-2): 217-260
  • TESTING GLUON SELF-INTERACTIONS IN 3-JET EVENTS AT HADRON COLLIDERS NUCLEAR PHYSICS B Dixon, L., Shadmi, Y. 1994; 423 (1): 3-32
  • ONE-LOOP N-GLUON AMPLITUDES WITH MAXIMAL HELICITY VIOLATION VIA COLLINEAR LIMITS PHYSICAL REVIEW LETTERS Bern, Z., Chalmers, G., Dixon, L., Kosower, D. A. 1994; 72 (14): 2134-2137
  • DIMENSIONALLY-REGULATED PENTAGON INTEGRALS NUCLEAR PHYSICS B Bern, Z., Dixon, L., Kosower, D. A. 1994; 412 (3): 751-816
  • ONE-LOOP CORRECTIONS TO 5-GLUON AMPLITUDES PHYSICAL REVIEW LETTERS Bern, Z., Dixon, L., Kosower, D. A. 1993; 70 (18): 2677-2680
  • DIMENSIONALLY REGULATED ONE-LOOP INTEGRALS PHYSICS LETTERS B Bern, Z., Dixon, L., Kosower, D. A. 1993; 302 (2-3): 299-308
  • COSMOLOGICAL AND ASTROPHYSICAL CONSTRAINTS ON A PSEUDO-DIRAC TAU NEUTRINO PHYSICS LETTERS B Dixon, L. J., Nir, Y. 1991; 266 (3-4): 425-430
  • MODULI DEPENDENCE OF STRING LOOP CORRECTIONS TO GAUGE COUPLING-CONSTANTS NUCLEAR PHYSICS B Dixon, L. J., Kaplunovsky, V. S., Louis, J. 1991; 355 (3): 649-688
  • THE ELECTRIC-DIPOLE MOMENT OF THE NEUTRON IN THE SKYRME MODEL PHYSICS LETTERS B Dixon, L. J., LANGNAU, A., Nir, Y., Warr, B. 1991; 253 (3-4): 459-464
  • ON EFFECTIVE FIELD-THEORIES DESCRIBING (2,2) VACUA OF THE HETEROTIC STRING NUCLEAR PHYSICS B Dixon, L. J., Kaplunovsky, V. S., Louis, J. 1990; 329 (1): 27-82
  • N=2 SUPERCONFORMAL SYMMETRY AND SO(2,1) CURRENT-ALGEBRA NUCLEAR PHYSICS B Dixon, L. J., Peskin, M. E., Lykken, J. 1989; 325 (2): 329-355
  • CONSTRAINTS ON STRING VACUA WITH SPACETIME SUPERSYMMETRY NUCLEAR PHYSICS B Banks, T., Dixon, L. J. 1988; 307 (1): 93-108
  • C=1 SUPERCONFORMAL FIELD-THEORY NUCLEAR PHYSICS B Dixon, L., Ginsparg, P., Harvey, J. 1988; 306 (3): 470-496
  • PHENOMENOLOGY AND CONFORMAL FIELD-THEORY OR CAN STRING THEORY PREDICT THE WEAK MIXING ANGLE NUCLEAR PHYSICS B Banks, T., Dixon, L. J., FRIEDAN, D., Martinec, E. 1988; 299 (3): 613-626
  • MULTI-LOOP TWIST FIELD CORRELATION-FUNCTIONS FOR ZN ORBIFOLDS NUCLEAR PHYSICS B ATICK, J. J., Dixon, L. J., Griffin, P. A., NEMESCHANSKY, D. D. 1988; 298 (1): 1-35
  • BEAUTY AND THE BEAST - SUPERCONFORMAL SYMMETRY IN A MONSTER MODULE COMMUNICATIONS IN MATHEMATICAL PHYSICS Dixon, L., Ginsparg, P., Harvey, J. 1988; 119 (2): 221-241
  • ON 4-DIMENSIONAL GAUGE-THEORIES FROM TYPE-II SUPERSTRINGS NUCLEAR PHYSICS B Dixon, L. J., Kaplunovsky, V. S., Vafa, C. 1987; 294 (1): 43-82
  • STRING CALCULATION OF FAYET-ILIOPOULOS D-TERMS IN ARBITRARY SUPERSYMMETRIC COMPACTIFICATIONS NUCLEAR PHYSICS B ATICK, J. J., Dixon, L. J., Sen, A. 1987; 292 (1): 109-149
  • THE CONFORMAL FIELD-THEORY OF ORBIFOLDS NUCLEAR PHYSICS B Dixon, L., FRIEDAN, D., Martinec, E., Shenker, S. 1987; 282 (1): 13-73
  • STRINGS ON ORBIFOLDS .2. NUCLEAR PHYSICS B Dixon, L., Harvey, J., Vafa, C., Witten, E. 1986; 274 (2): 285-314
  • STRINGS ON ORBIFOLDS NUCLEAR PHYSICS B Dixon, L., Harvey, J. A., Vafa, C., Witten, E. 1985; 261 (4): 678-686