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Cross-Order Integral Relations from Maximal Cuts
/ Johansson, Henrik (CERN ; Nordita ; Stockholm U. ; Uppsala U.) ; Kosower, David A. (Caltech ; IPhT, Saclay) ; Larsen, Kasper J. (NIKHEF, Amsterdam ; Zurich, ETH) ; Søgaard, Mads (Bohr Inst.)
We study the ABDK relation using maximal cuts of one- and two-loop integrals with up to five external legs. We show how to find a special combination of integrals that allows the relation to exist, and how to reconstruct the terms with one-loop integrals squared. [...]
CERN-PH-TH-2014-262; NORDITA-2014-141; UUITP-20-14; CALT-TH-2015-014; SACLAY-IPHT-T14-239; NIKHEF-2014-051; arXiv:1503.06711; CERN-PH-TH-2014-262; NORDITA-2014-141; UUITP-20-14; CALT-TH-2015-014; SACLAY-IPHT-T14-239; NIKHEF-2014-051.-
2015-07-10 - 32 p.
- Published in : Phys. Rev. D 92 (2015) 025015
APS Open Access article: PDF; Preprint: PDF; External link: Preprint
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An Overview of Maximal Unitarity at Two Loops
/ Johansson, Henrik (CERN) ; Kosower, David A. (Saclay, SPhT) ; Larsen, Kasper J. (NIKHEF, Amsterdam)
We discuss the extension of the maximal-unitarity method to two loops, focusing on the example of the planar double box. Maximal cuts are reinterpreted as contour integrals, with the choice of contour fixed by the requirement that integrals of total derivatives vanish on it. [...]
arXiv:1212.2132.-
2012 - 7 p.
- Published in : PoS: LL2012 (2012) , pp. 066
Fulltext: arXiv:1212.2132 - PDF; LL2012_066 - PDF; External links: POS; POS
In : 11th DESY Workshop on Elementary Particle Physics: Loops and Legs in Quantum Field Theory, Wernigerode, Germany, 15 - 20 Apr 2012, pp.066
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Multi-Loop Amplitudes in the High-Energy Limit in N=4 SYM
/ Del Duca, Vittorio (ETH, Zurich (main)) ; 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 introduce a novel way to perform high-order computations in multi-Regge-kinematics in planar $\mathcal{N}=4$ supersymmetric Yang-Mills theory and generalize the existing factorization into building blocks at two loops to all loop orders. Afterwards, we will explain how this framework can be used to easily obtain higher-loop amplitudes from existing amplitudes and how to relate them to amplitudes with higher number of legs..
arXiv:1807.07751; CERN-TH-2018-164; CP3-18-47; DESY-18-126; SLAC-PUB-17305.-
SISSA, 2018-07-23 - 9 p.
- Published in : PoS LL2018 (2018) 026
Fulltext: PoS(LL2018)026 - PDF; 1807.07751 - PDF; arXiv:1807.07751 - PDF; External link: PoS server
In : 14th DESY Workshop on Elementary Particle Physics : Loops and Legs in Quantum Field Theory 2018, St Goar, Germany, 29 Apr - 04 May 2018, pp.026
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Cuts from residues: the one-loop case
/ Abreu, Samuel (Freiburg U.) ; Britto, Ruth (Trinity Coll., Dublin ; IPhT, Saclay) ; Duhr, Claude (CERN ; Louvain U., CP3) ; Gardi, Einan (U. Edinburgh, Higgs Ctr. Theor. Phys. ; Edinburgh U.)
Using the multivariate residue calculus of Leray, we give a precise definition of the notion of a cut Feynman integral in dimensional regularization, as a residue evaluated on the variety where some of the propagators are put on shell. These are naturally associated to Landau singularities of the first type. [...]
arXiv:1702.03163; CERN-TH-2017-033; CP3-17-05; Edinburgh-2017-05; FR-PHENO-2017-001.-
2017-06-14 - 57 p.
- Published in : JHEP 06 (2017) 114
Article from SCOAP3: PDF; Fulltext: PDF;
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Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case
/ Abreu, Samuel (Freiburg U.) ; Britto, Ruth (Trinity Coll., Dublin ; Hamilton Math. Inst., Dublin ; IPhT, Saclay ; Santa Barbara, KITP) ; Duhr, Claude (CERN ; Louvain U., CP3) ; Gardi, Einan (U. Edinburgh, Higgs Ctr. Theor. Phys.)
We construct a diagrammatic coaction acting on one-loop Feynman graphs and their cuts. The graphs are naturally identified with the corresponding (cut) Feynman integrals in dimensional regularization, whose coefficients of the Laurent expansion in the dimensional regulator are multiple polylogarithms (MPLs). [...]
arXiv:1704.07931; CERN-TH-2017-092; CP3-17-11; EDINBURGH-2017-09; FR-PHENO-2017-010; TCDMATH-17-09.-
2017-12-15 - 74 p.
- Published in : JHEP 12 (2017) 090
Article from SCOAP3: scoap3-fulltext - PDF; scoap - PDF; Fulltext: PDF;
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