CERN Accelerating science

Preprint
Report number	arXiv:2203.07088 ; BONN-TH-2022-05 ; UUITP-11/22 ; CERN-TH-2022-029 ; TUM-HEP-1391/22, HU-EP-22/08 ; MITP-22-022
Title	Functions Beyond Multiple Polylogarithms for Precision Collider Physics
Author(s)	Bourjaily, Jacob L. (Penn State U., University Park, IGC ; Bohr Inst.) ; Broedel, Johannes (Zurich, ETH) ; Chaubey, Ekta (Turin U. ; INFN, Turin) ; Duhr, Claude (Bonn U.) ; Frellesvig, Hjalte (Bohr Inst.) ; Hidding, Martijn (Uppsala U.) ; Marzucca, Robin (Bohr Inst.) ; McLeod, Andrew J. (CERN ; UCLA) ; Spradlin, Marcus (Brown U.) ; Tancredi, Lorenzo (Munich, Tech. U.) ; Vergu, Cristian (Bohr Inst.) ; Volk, Matthias (Helmholtz-Zentrum, Berlin) ; Volovich, Anastasia (Brown U.) ; von Hippel, Matt (Bohr Inst.) ; Weinzierl, Stefan (U. Mainz, PRISMA) ; Wilhelm, Matthias (Bohr Inst.) ; Zhang, Chi (Bohr Inst.)
Imprint	2022-03-14
Number of pages	56
Note	32+24 pages, 11 figures, contribution to Snowmass 2021
Presented at	2021 Snowmass Summer Study, Seattle, WA, United States, 11 - 20 July 2021, pp.
Subject category	hep-th ; Particle Physics - Theory ; hep-ph ; Particle Physics - Phenomenology
Abstract	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 functions are well understood -- more complex diagrams often involve integrals over complicated algebraic manifolds. Such diagrams already contribute at NNLO to the self-energy of the electron, $t \bar{t}$ production, $\gamma \gamma$ production, and Higgs decay, and appear at two loops in the planar limit of maximally supersymmetric Yang-Mills theory. This makes the study of these more complicated types of integrals of phenomenological as well as conceptual importance. In this white paper contribution to the Snowmass community planning exercise, we provide an overview of the state of research on Feynman diagrams that involve special functions beyond multiple polylogarithms, and highlight a number of research directions that constitute essential avenues for future investigation.
Other source	Inspire
Copyright/License	preprint: (License: arXiv nonexclusive-distrib 1.0)