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1.
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
2.
The four-loop remainder function and multi-Regge behavior at NNLLA in planar N=4 super-Yang-Mills theory / Dixon, Lance J. (SLAC) ; Drummond, James M. (Annecy, LAPTH ; CERN ; Southampton U.) ; Duhr, Claude (Durham U., IPPP) ; Pennington, Jeffrey (SLAC)
We present the four-loop remainder function for six-gluon scattering with maximal helicity violation in planar N=4 super-Yang-Mills theory, as an analytic function of three dual-conformal cross ratios. The function is constructed entirely from its analytic properties, without ever inspecting any multi-loop integrand. [...]
arXiv:1402.3300; SLAC-PUB-15902; CERN-PH-TH-2014-027; IPPP-14-09; DCPT-14-18; LAPTH-010-14; SLAC-PUB-15902; CERN-PH-TH-2014-027; IPPP-14-09; DCPT-14-18; LAPTH-010-14.- 2014 - 59 p. - Published in : JHEP 06 (2014) 116 Article from SCOAP3: PDF; Fulltext: PDF; Springer Open Access article: PDF; External link: SLAC Document Server
3.
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
4.
Leading singularities and off-shell conformal integrals / Drummond, James (CERN ; Annecy, LAPTH) ; Duhr, Claude (ETH, Zurich (main) ; Durham U., IPPP) ; Eden, Burkhard (Humboldt U., Berlin, Inst. Math.) ; Heslop, Paul (Durham U., Dept. of Math.) ; Pennington, Jeffrey (SLAC) ; Smirnov, Vladimir A. (Humboldt U., Berlin, Inst. Math. ; SINP, Moscow)
The three-loop four-point function of stress-tensor multiplets in N=4 super Yang-Mills theory contains two so far unknown, off-shell, conformal integrals, in addition to the known, ladder-type integrals. In this paper we evaluate the unknown integrals, thus obtaining the three-loop correlation function analytically. [...]
arXiv:1303.6909; HU-EP-13-15; IPPP-13-09; DCPT-13-18; SLAC-PUB-15409; LAPTH-016-13; CERN-PH-TH-2013-058; HU-MATHEMATIK:2013-06; HU-MATHEMATIK:2013-06; HU-EP-13-15; IPPP-13-09; DCPT-13-18; SLAC-PUB-15409; LAPTH-016-13; CERN-PH-TH-2013-058.- 2013 - 58 p. - Published in : JHEP 08 (2013) 133 Fulltext: PDF; Springer Open Access article: PDF; External link: Preprint

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2 Pennington, J S
2 Pennington, Jeffrey S
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