Zobrazeno 1 - 10
of 53
pro vyhledávání: '"Falko Dulat"'
Publikováno v:
Journal of High Energy Physics, Vol 2020, Iss 8, Pp 1-29 (2020)
Abstract We present analytic results for the partonic cross sections for the production of a Higgs boson via the fusion of two bottom quarks at N3LO in QCD perturbation theory in the five-flavour scheme. We combine this perturbative result with NLO a
Externí odkaz:
https://doaj.org/article/f88bf758c8ff4de6baf8a7933f07e7fe
Autor:
Simon Caron-Huot, Lance J. Dixon, Falko Dulat, Matt von Hippel, Andrew J. McLeod, Georgios Papathanasiou
Publikováno v:
Journal of High Energy Physics, Vol 2019, Iss 9, Pp 1-67 (2019)
Abstract We describe the minimal space of polylogarithmic functions that is required to express the six-particle amplitude in planar N $$ \mathcal{N} $$ = 4 super-Yang-Mills theory through six and seven loops, in the NMHV and MHV sectors respectively
Externí odkaz:
https://doaj.org/article/caf9acb5863e4a278022d1dddc7c9caa
Publikováno v:
Journal of High Energy Physics, Vol 2019, Iss 9, Pp 1-33 (2019)
Abstract We present fully analytic results for all master integrals for the three-loop banana graph with four equal and non-zero masses. The results are remarkably simple and all integrals are expressed as linear combinations of iterated integrals of
Externí odkaz:
https://doaj.org/article/1acd99c4dfde48dda40d496c134d51c3
Autor:
Claude Duhr, Falko Dulat
Publikováno v:
Journal of High Energy Physics, Vol 2019, Iss 8, Pp 1-57 (2019)
Abstract We review the Hopf algebra of the multiple polylogarithms and the symbol map, as well as the construction of single valued multiple polylogarithms and discuss an algorithm for finding fibration bases. We document how these algorithms are imp
Externí odkaz:
https://doaj.org/article/712f16b400aa4330bc706516d6db07e6
Autor:
Simon Caron-Huot, Lance J. Dixon, Falko Dulat, Matt von Hippel, Andrew J. McLeod, Georgios Papathanasiou
Publikováno v:
Journal of High Energy Physics, Vol 2019, Iss 8, Pp 1-47 (2019)
Abstract We compute the six-particle maximally-helicity-violating (MHV) and next-to-MHV (NMHV) amplitudes in planar maximally supersymmetric Yang-Mills theory through seven loops and six loops, respectively, as an application of the extended Steinman
Externí odkaz:
https://doaj.org/article/d9f8dbc0061c4808a9897ef3353d1960
Publikováno v:
Nuclear Physics B, Vol 942, Iss , Pp 251-302 (2019)
Local, manifestly dual-conformally invariant loop integrands are now known for all finite quantities associated with observables in planar, maximally supersymmetric Yang-Mills theory through three loops. These representations, however, are not infrar
Externí odkaz:
https://doaj.org/article/fd3e00a07a36400cabb765f3b6056c02
Publikováno v:
Journal of High Energy Physics, Vol 2019, Iss 5, Pp 1-38 (2019)
Abstract In this paper we study the calculation of multiloop Feynman integrals that cannot be expressed in terms of multiple polylogarithms. We show in detail how certain types of two- and three-point functions at two loops, which appear in the calcu
Externí odkaz:
https://doaj.org/article/780af15f920c4192a96108f2d7b29f93
Publikováno v:
Journal of High Energy Physics, Vol 2019, Iss 1, Pp 1-30 (2019)
Abstract We introduce a method to extract the symbol of the coefficient of (2πi)2 of MHV remainder functions in planar N $$ \mathcal{N} $$ = 4 Super Yang-Mills in multi-Regge kinematics region directly from the symbol in full kinematics. At two loop
Externí odkaz:
https://doaj.org/article/c16a797b86504ee0b7e3ebefc54852e2
Publikováno v:
Journal of High Energy Physics, Vol 2019, Iss 1, Pp 1-49 (2019)
Abstract We propose a variant of elliptic multiple polylogarithms that have at most logarithmic singularities in all variables and satisfy a differential equation without homogeneous term. We investigate several non-trivial elliptic two-loop Feynman
Externí odkaz:
https://doaj.org/article/b6688aba02df4e7284bb084b52e16fd3
Publikováno v:
Journal of High Energy Physics, Vol 2018, Iss 8, Pp 1-65 (2018)
Abstract We present a generalization of the symbol calculus from ordinary multiple polylogarithms to their elliptic counterparts. Our formalism is based on a special case of a coaction on large classes of periods that is applied in particular to elli
Externí odkaz:
https://doaj.org/article/4670471393914d4d9c29c55b90331ddf