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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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2.
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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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4.
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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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5.
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6.
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Bootstrapping the QCD soft anomalous dimension
/ Almelid, Øyvind (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Duhr, Claude (CERN ; Louvain U., CP3) ; Gardi, Einan (Edinburgh U. ; U. Edinburgh, Higgs Ctr. Theor. Phys.) ; McLeod, Andrew (Santa Barbara, KITP ; SLAC) ; White, Chris D. (Queen Mary, U. of London)
The soft anomalous dimension governs the infrared singularities of scattering amplitudes to all orders in perturbative quantum field theory, and is a crucial ingredient in both formal and phenomenological applications of non-abelian gauge theories. It has recently been computed at three-loop order for massless partons by explicit evaluation of all relevant Feynman diagrams. [...]
arXiv:1706.10162; EDINBURGH-2017-13; CERN-TH-2017-138; CP3-17-20; SLAC-PUB-17089; QMUL-PH-17-10.-
2017-09-18 - 37 p.
- Published in : JHEP 09 (2017) 073
Article from SCOAP3: scoap3-fulltext - PDF; scoap - PDF; Fulltext: PDF;
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7.
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The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy
/ Del Duca, Vittorio (Zurich, ETH) ; Druc, Stefan (Southampton U.) ; Drummond, James (Southampton U.) ; Duhr, Claude (CERN ; Louvain U., CP3) ; Dulat, Falko (SLAC) ; Marzucca, Robin (Louvain U., CP3) ; Papathanasiou, Georgios (DESY) ; Verbeek, Bram (Louvain U., CP3)
We present an all-loop dispersion integral, well-defined to arbitrary logarithmic accuracy, describing the multi-Regge limit of the 2->5 amplitude in planar N=4 super Yang-Mills theory. It follows from factorization, dual conformal symmetry and consistency with soft limits, and specifically holds in the region where the energies of all produced particles have been analytically continued. [...]
arXiv:1801.10605; DESY-18-009; CERN-TH-2018-016; CP3-18-06; SLAC-PUB-17220.-
2018-06-21 - 56 p.
- Published in : JHEP 06 (2018) 116
Article from SCOAP3: scoap3-fulltext - PDF; scoap - PDF; Fulltext: PDF;
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8.
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9.
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All-order amplitudes at any multiplicity in the multi-Regge limit
/ Del Duca, V. (Zurich, ETH ; Frascati) ; Druc, S. (Southampton U.) ; Drummond, J.M. (Southampton U.) ; Duhr, C. (CERN) ; Dulat, F. (SLAC) ; Marzucca, R. (Durham U., IPPP) ; Papathanasiou, G. (DESY) ; Verbeek, B. (Uppsala U.)
We propose an all-loop expression for scattering amplitudes in planar N=4 super Yang-Mills theory in multi-Regge kinematics valid for all multiplicities, all helicity configurations and arbitrary logarithmic accuracy. Our expression is arrived at from comparing explicit perturbative results with general expectations from the integrable structure of a closely related collinear limit. [...]
arXiv:1912.00188; DESY-19-180; CERN-TH-2019-204; IPPP/19/86; UUITP-48/19; SLAC-PUB-17491.-
2020-04-21 - 6 p.
- Published in : Phys. Rev. Lett. 124 (2020) 161602
Article from SCOAP3: PDF; Fulltext: PDF;
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10.
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Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
/ Del Duca, Vittorio (Zurich, ETH) ; Druc, Stefan (Southampton U.) ; Drummond, James (Southampton U.) ; Duhr, Claude (CERN ; Louvain U., CP3) ; Dulat, Falko (SLAC) ; Marzucca, Robin (Louvain U., CP3) ; Papathanasiou, Georgios (SLAC) ; Verbeek, Bram (Louvain U., CP3)
We show that scattering amplitudes in planar N = 4 Super Yang-Mills in multi-Regge kinematics can naturally be expressed in terms of single-valued iterated integrals on the moduli space of Riemann spheres with marked points. As a consequence, scattering amplitudes in this limit can be expressed as convolutions that can easily be computed using Stokes' theorem. [...]
arXiv:1606.08807; CP3-16-32; CERN-TH-2016-143; SLAC-PUB-16659.-
2016-08-25 - 104 p.
- Published in : JHEP 08 (2016) 152
Springer Open Access article: PDF; Article from SCOAP3: scoap3-fulltext - PDF; scoap - PDF; Fulltext: PDF;
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