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Title: Bootstrapping six-gluon scattering in planar Neq4 super-Yang-Mills theory

Authors:
; ; ; ; ; ; ; ; ;
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC); High Energy Physics (HEP)
OSTI Identifier:
1146441
Report Number(s):
SLAC-PUB-16008
arXiv:1407.4724
DOE Contract Number:
AC02-76SF00515
Resource Type:
Conference
Resource Relation:
Conference: Presented at the 12th DDESY Workshop on Elementary Particle Physics: Loops and Legs in Quantum Field Theory, 27 Apr-2 May CONF-NUMBER = C14-04-27
Country of Publication:
United States
Language:
English
Subject:
Theory-HEP,HEPTH

Citation Formats

Dixon, Lance J., /SLAC, Drummond, James M., /Southampton U. /CERN /Annecy, LAPTH, Duhr, Claude, /Durham U., IPPP, von Hippel, Matt, /Stony Brook U., New York, SCGP, Pennington, Jeffrey, and /SLAC. Bootstrapping six-gluon scattering in planar Neq4 super-Yang-Mills theory. United States: N. p., 2014. Web.
Dixon, Lance J., /SLAC, Drummond, James M., /Southampton U. /CERN /Annecy, LAPTH, Duhr, Claude, /Durham U., IPPP, von Hippel, Matt, /Stony Brook U., New York, SCGP, Pennington, Jeffrey, & /SLAC. Bootstrapping six-gluon scattering in planar Neq4 super-Yang-Mills theory. United States.
Dixon, Lance J., /SLAC, Drummond, James M., /Southampton U. /CERN /Annecy, LAPTH, Duhr, Claude, /Durham U., IPPP, von Hippel, Matt, /Stony Brook U., New York, SCGP, Pennington, Jeffrey, and /SLAC. Thu . "Bootstrapping six-gluon scattering in planar Neq4 super-Yang-Mills theory". United States. doi:. https://www.osti.gov/servlets/purl/1146441.
@article{osti_1146441,
title = {Bootstrapping six-gluon scattering in planar Neq4 super-Yang-Mills theory},
author = {Dixon, Lance J. and /SLAC and Drummond, James M. and /Southampton U. /CERN /Annecy, LAPTH and Duhr, Claude and /Durham U., IPPP and von Hippel, Matt and /Stony Brook U., New York, SCGP and Pennington, Jeffrey and /SLAC},
abstractNote = {},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Thu Jul 17 00:00:00 EDT 2014},
month = {Thu Jul 17 00:00:00 EDT 2014}
}

Conference:
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  • I describe some recent developments in the understanding of gluon scattering amplitudes in N = 4 super-Yang-Mills theory in the large-N{sub c} limit. These amplitudes can be computed to high orders in the weak coupling expansion, and also now at strong coupling using the AdS/CFT correspondence. They hold the promise of being solvable to all orders in the gauge coupling, with the help of techniques based on integrability. They are intimately related to expectation values for polygonal Wilson loops composed of light-like segments.
  • We give a representation of the parity-even part of the planar two-loop six-gluon maximally helicity violating (MHV) amplitude of N=4 super-Yang-Mills theory, in terms of loop-momentum integrals with simple dual conformal properties. We evaluate the integrals numerically in order to test directly the Anastasiou-Bern-Dixon-Kosower/Bern-Dixon-Smirnov all-loop ansatz for planar MHV amplitudes. We find that the ansatz requires an additive remainder function, in accord with previous indications from strong-coupling and Regge limits. The planar six-gluon amplitude can also be compared with the hexagonal Wilson loop computed by Drummond, Henn, Korchemsky, and Sokatchev in arXiv:0803.1466. After accounting for differing singularities and other constantsmore » independent of the kinematics, we find that the Wilson loop and MHV-amplitude remainders are identical, to within our numerical precision. This result provides nontrivial confirmation of a proposed n-point equivalence between Wilson loops and planar MHV amplitudes, and suggests that an additional mechanism besides dual conformal symmetry fixes their form at six points and beyond.« less
  • We compute the non-MHV one-loop seven-gluon amplitudes in N = 4 super-Yang-Mills theory, which contain three negative-helicity gluons and four positive-helicity gluons. There are four independent color-ordered amplitudes, (---++++), (--+-+++), (--++-++) and (-+-+-++). The MHV amplitudes containing two negative-helicity and five positive-helicity gluons were computed previously, so all independent one-loop seven-gluon helicity amplitudes are now known for this theory. We present partial information about an infinite sequence of next-to-MHV one-loop helicity amplitudes, with three negative-helicity and n - 3 positive-helicity gluons, and the color ordering (---+{center_dot}{center_dot}{center_dot}++); we give a new coefficient of one class of integral functions entering this amplitude.more » We discuss the twistor-space properties of the box-integral-function coefficients in the amplitudes, which are quite simple and suggestive.« less
  • We compute the next-to-MHV one-loop n-gluon amplitudes in N = 4 super-Yang-Mills theory. These amplitudes contain three negative-helicity gluons and an arbitrary number of positive-helicity gluons, and are the first infinite series of amplitudes beyond the simplest, MHV, amplitudes. We also discuss some aspects of their twistor-space structure.