Zobrazeno 1 - 10
of 83
pro vyhledávání: '"Frellesvig, Hjalte"'
Publikováno v:
JHEP 08 (2024) 243
We use the loop-by-loop Baikov representation to investigate the geometries in Feynman integrals contributing to the classical dynamics of a black-hole two-body system in the post-Minkowskian expansion of general relativity. These geometries determin
Externí odkaz:
http://arxiv.org/abs/2405.17255
Autor:
Frellesvig, Hjalte, Teschke, Toni
Publikováno v:
Phys.Rev.D 110 (2024) 4, 044028
This paper combines the post-Minkowskian expansion of general relativity with the language of intersection theory. Because of the nature of the soft limit inherent to the post-Minkowskian expansion, the intersection-based approach is of enhanced util
Externí odkaz:
http://arxiv.org/abs/2404.11913
Publikováno v:
Phys.Rev.Lett. 132 (2024) 20, 201602
We study geometries occurring in Feynman integrals that contribute to the scattering of black holes in the post-Minkowskian expansion. These geometries become relevant to gravitational-wave production during the inspiralling phase of binary black hol
Externí odkaz:
http://arxiv.org/abs/2312.11371
Autor:
Brunello, Giacomo, Chestnov, Vsevolod, Crisanti, Giulio, Frellesvig, Hjalte, Mandal, Manoj K., Mastrolia, Pierpaolo
We present a simplification of the recursive algorithm for the evaluation of intersection numbers for differential $n$-forms, by combining the advantages emerging from the choice of delta-forms as generators of relative twisted cohomology groups and
Externí odkaz:
http://arxiv.org/abs/2401.01897
Autor:
Frellesvig, Hjalte, Weinzierl, Stefan
Publikováno v:
SciPost Phys. 16, 150 (2024)
We investigate $\varepsilon$-factorised differential equations, uniform transcendental weight and purity for Feynman integrals. We are in particular interested in Feynman integrals beyond the ones which evaluate to multiple polylogarithms. We show th
Externí odkaz:
http://arxiv.org/abs/2301.02264
Autor:
Chestnov, Vsevolod, Frellesvig, Hjalte, Gasparotto, Federico, Mandal, Manoj K., Mastrolia, Pierpaolo
We propose a new method for the evaluation of intersection numbers for twisted meromorphic $n$-forms, through Stokes' theorem in $n$ dimensions. It is based on the solution of an $n$-th order partial differential equation and on the evaluation of mul
Externí odkaz:
http://arxiv.org/abs/2209.01997
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
Autor:
Frellesvig, Hjalte
In this paper we develop and demonstrate a method to obtain epsilon factorized differential equations for elliptic Feynman integrals. This method works by choosing an integral basis with the property that the period matrix obtained by integrating the
Externí odkaz:
http://arxiv.org/abs/2110.07968
We consider the genus-one curves which arise in the cuts of the sunrise and in the elliptic double-box Feynman integrals. We compute and compare invariants of these curves in a number of ways, including Feynman parametrization, lightcone and Baikov (
Externí odkaz:
http://arxiv.org/abs/2102.02769
Autor:
Frellesvig, Hjalte, Mattiazzi, Luca
This document is a contribution to the proceedings of the MathemAmplitudes 2019 conference held in December 2019 in Padova, Italy. A key step in modern high energy physics scattering amplitudes computation is to express the latter in terms of a minim
Externí odkaz:
http://arxiv.org/abs/2102.01576