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The Steinmann Cluster Bootstrap for $N$ = 4 Super Yang-Mills Amplitudes
/ Caron-Huot, Simon (McGill U.) ; Dixon, Lance J. (SLAC) ; Drummond, James M. (Southampton U.) ; Dulat, Falko (SLAC) ; Foster, Jack (Southampton U.) ; Gürdoğan, Ömer (Southampton U. ; Oxford U., Inst. Math.) ; von Hippel, Matt (Perimeter Inst. Theor. Phys. ; Bohr Inst.) ; McLeod, Andrew J. (SLAC ; Bohr Inst.) ; Papathanasiou, Georgios (DESY)
We review the bootstrap method for constructing six- and seven-particle amplitudes in planar $\mathcal{N}=4$ super Yang-Mills theory, by exploiting their analytic structure. We focus on two recently discovered properties which greatly simplify this construction at symbol and function level, respectively: the extended Steinmann relations, or equivalently cluster adjacency, and the coaction principle. [...]
arXiv:2005.06735; DESY-20-087.-
SISSA, 2020-05-14 - 37 p.
- Published in : PoS CORFU2019 (2020) 003
Fulltext: PDF; Fulltext from publisher: PDF;
In : 19th Hellenic School and Workshops on Elementary Particle Physics and Gravity, Corfu, Corfu, Greece, 31 Aug - 25 Sep 2019, pp.003
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Bootstrapping six-gluon scattering in planar ${\cal N}=4$ super-Yang-Mills theory
/ Dixon, Lance J (SLAC) ; Drummond, James M (Annecy, LAPTH ; CERN ; Southampton U.) ; Duhr, Claude (Durham U., IPPP) ; von Hippel, Matt (SUNY, Stony Brook) ; Pennington, Jeffrey (SLAC)
We describe the hexagon function bootstrap for solving for six-gluon scattering amplitudes in the large $N_c$ limit of ${\cal N}=4$ super-Yang-Mills theory. In this method, an ansatz for the finite part of these amplitudes is constrained at the level of amplitudes, not integrands, using boundary information. [...]
arXiv:1407.4724; SLAC-PUB-16008.-
2014 - 15 p.
- Published in : PoS LL2014 (2014) 077
Published version from PoS: PDF; External link: Preprint
In : 12th DESY Workshop on Elementary Particle Physics: Loops and Legs in Quantum Field Theory, Weimar, Germany, 27 Apr - 2 May 2014, pp.077
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Hexagon functions and the three-loop remainder function
/ Dixon, Lance J. (SLAC ; Stanford U., Phys. Dept.) ; Drummond, James M. (CERN ; Annecy, LAPTH) ; von Hippel, Matt (SLAC ; Stanford U., Phys. Dept. ; SUNY, Stony Brook) ; Pennington, Jeffrey (SLAC ; Stanford U., Phys. Dept.)
We present the three-loop remainder function, which describes the scattering of six gluons in the maximally-helicity-violating configuration in planar N=4 super-Yang-Mills theory, as a function of the three dual conformal cross ratios. The result can be expressed in terms of multiple Goncharov polylogarithms. [...]
arXiv:1308.2276; CERN-PH-TH-2013-142; CERN-PH-TH-2013-142.-
2013 - 95 p.
- Published in : JHEP 12 (2013) 049
Fulltext: PDF; Springer Open Access article: PDF; External link: SLAC Document Server
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Bootstrapping the three-loop hexagon
/ Dixon, Lance J. (CERN ; SLAC) ; Drummond, James M. (CERN ; Annecy, LAPTH) ; Henn, Johannes M. (Humboldt U., Berlin ; Santa Barbara, KITP)
We consider the hexagonal Wilson loop dual to the six-point MHV amplitude in planar N=4 super Yang-Mills theory. We apply constraints from the operator product expansion in the near-collinear limit to the symbol of the remainder function at three loops. [...]
SLAC-PUB-14528; CERN-PH-TH-2011-189; LAPTH-029-11; HU-EP-11-38; NSF-KITP-11-176; arXiv:1108.4461; CERN-PH-TH-2011-189; SLAC-PUB-14528; LAPTH-029-11; HU-EP-11-38; NSF-KITP-11-176.-
2011 - 36 p.
- Published in : JHEP 11 (2011) 023
Preprint: PDF; Springer Open Access article: PDF; External link: SLAC
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The one-loop six-dimensional hexagon integral with three massive corners
/ Del Duca, Vittorio (Unlisted, IT ; KIPAC, Menlo Park) ; Dixon, Lance J. (SLAC ; CERN) ; Drummond, James M. (CERN ; Annecy, LAPTH) ; Duhr, Claude (Durham U., IPPP ; KIPAC, Menlo Park) ; Henn, Johannes M. (Humboldt U., Berlin ; KIPAC, Menlo Park) ; Smirnov, Vladimir A. (Lomonosov Moscow State U.)
We compute the six-dimensional hexagon integral with three non-adjacent external masses analytically. After a simple rescaling, it is given by a function of six dual conformally invariant cross-ratios. [...]
HU-EP-11-22; CERN-PH-TH-2011-105; SLAC-PUB-14458; LAPTH-016-11; DCPT-11-42; NSF-KITP-11-072; arXiv:1105.2011; IPPP-11-21; HU-EP-11-22; CERN-PH-TH-2011-105; SLAC-PUB-14458; LAPTH-016-11; IPPP-11-21; DCPT-11-42; NSF-KITP-11-072.-
2011 - 15 p.
- Published in : Phys. Rev. D 84 (2011) 045017
APS Published version, local copy: PDF; Preprint: PDF; External link: SLAC
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Review of AdS/CFT Integrability: An Overview
/ Beisert, Niklas (Potsdam, Max Planck Inst.) ; Ahn, Changrim (IEU, Korea) ; Alday, Luis F (Oxford U. ; Princeton, Inst. Advanced Study) ; Bajnok, Zoltan (Hungarian Acad. Sci., Budapest) ; Drummond, James M (CERN ; Annecy, LAPTH) ; Freyhult, Lisa (Uppsala U.) ; Gromov, Nikolay (King's Coll. London ; PNPI, CSTD) ; Janik, Romuald A (Jagiellonian U.) ; Kazakov, Vladimir (Ecole Normale Superieure ; Paris U., VI-VII) ; Klose, Thomas (Uppsala U. ; Princeton U.) et al.
This is the introductory chapter of a review collection on integrability in the context of the AdS/CFT correspondence. In the collection we present an overview of the achievements and the status of this subject as of the year 2010..
arXiv:1012.3982; AEI-2010-175; CERN-PH-TH-2010-306; HU-EP-10-87; HU-MATH-2010-22; KCL-MTH-10-10; UMTG-270; UUITP-41-10.-
2012 - 31 p.
- Published in : Lett. Math. Phys. 99 (2012) 3-32
Fulltext: PDF; External link: Preprint
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