Zobrazeno 1 - 10
of 111
pro vyhledávání: '"Broedel, Johannes"'
A possible way of constructing polylogarithms on Riemann surfaces of higher genera facilitates integration kernels, which can be derived from generating functions incorporating the geometry of the surface. Functional relations between polylogarithms
Externí odkaz:
http://arxiv.org/abs/2409.08208
Elliptic polylogarithms can be defined as iterated integrals on a genus-one Riemann surface of a set of integration kernels whose generating series was already considered by Kronecker in the 19th century. In this article, we employ the Schottky param
Externí odkaz:
http://arxiv.org/abs/2406.10051
Autor:
Baune, Konstantin, Broedel, Johannes
Inspired by the calculational steps originally performed by Kawai, Lewellen and Tye, we decompose scattering amplitudes with single-valued coefficients obtained in the multi-Regge-limit of N=4 super-Yang-Mills theory into products of scattering ampli
Externí odkaz:
http://arxiv.org/abs/2306.16257
Autor:
Bourjaily, Jacob L., Broedel, Johannes, Chaubey, Ekta, Duhr, Claude, Frellesvig, Hjalte, Hidding, Martijn, Marzucca, Robin, McLeod, Andrew J., Spradlin, Marcus, Tancredi, Lorenzo, Vergu, Cristian, Volk, Matthias, Volovich, Anastasia, von Hippel, Matt, Weinzierl, Stefan, Wilhelm, Matthias, Zhang, Chi
Feynman diagrams constitute one of the essential ingredients for making precision predictions for collider experiments. Yet, while the simplest Feynman diagrams can be evaluated in terms of multiple polylogarithms -- whose properties as special funct
Externí odkaz:
http://arxiv.org/abs/2203.07088
We consider a class of differential equations for multi-loop Feynman integrals which can be solved to all orders in dimensional regularisation in terms of iterated integrals of meromorphic modular forms. We show that the subgroup under which the modu
Externí odkaz:
http://arxiv.org/abs/2109.15251
Autor:
Broedel, Johannes, Kaderli, André
Various methods for the recursive evaluation of scattering amplitudes in quantum field theory and string theory have been put forward during the last couple of years. In these proceedings we describe a geometrical framework, which is believed to be c
Externí odkaz:
http://arxiv.org/abs/2107.03893
Autor:
Baune, Konstantin, Broedel, Johannes
Publikováno v:
In Nuclear Physics, Section B January 2024 998
Two different constructions generating the low-energy expansion of genus-one configuration-space integrals appearing in one-loop open-string amplitudes have been put forward in \rcites{Mafra:2019xms, *Mafra:2019ddf, Broedel:2019gba}. We are going to
Externí odkaz:
http://arxiv.org/abs/2007.03712
Autor:
Broedel, Johannes, Kaderli, Andre
Publikováno v:
Communications in Number Theory and Physics, Volume 16 (2022), Number 1, 75-158
The recursive calculation of Selberg integrals by Aomoto and Terasoma using the Knizhnik-Zamolodchikov equation and the Drinfeld associator makes use of an auxiliary point and facilitates the recursive evaluation of string amplitudes at genus zero: o
Externí odkaz:
http://arxiv.org/abs/1912.09927
Autor:
Broedel, Johannes, Duhr, Claude, Dulat, Falko, Marzucca, Robin, Penante, Brenda, Tancredi, Lorenzo
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 modular
Externí odkaz:
http://arxiv.org/abs/1907.03787