Open AccessFunction Theory for Multiloop Feynman Integrals
Author(s) -
Claude Duhr
Publication year - 2019
Publication title -
annual review of nuclear and particle science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 5.63
H-Index - 110
eISSN - 1545-4134
pISSN - 0163-8998
DOI - 10.1146/annurev-nucl-101918-023551
Subject(s) - feynman diagram , computation , physics , logarithm , feynman integral , perturbation theory (quantum mechanics) , large hadron collider , class (philosophy) , particle physics , observable , mathematics , mathematical physics , computer science , quantum mechanics , mathematical analysis , algorithm , artificial intelligence
Precise predictions for collider observables require the computation of higher orders in perturbation theory. This task usually involves the evaluation of complicated multiloop integrals, which typically give rise to complicated special functions. This article discusses recent progress in understanding the mathematics underlying multiloop Feynman integrals and discusses a class of functions that generalizes the logarithm and that often appears in multiloop computations. The same class of functions is an active area of research in modern mathematics, which has led to the development of new powerful tools to compute Feynman integrals. These tools are at the heart of some of the most complicated computations ever performed for a hadron collider.