Analytic Computing Methods for Precision Calculations in Quantum Field Theory
High Energy Physics - Phenomenology
2018-09-19 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
An overview is presented on the current status of main mathematical computation methods for the multi-loop corrections to single scale observables in quantum field theory and the associated mathematical number and function spaces and algebras. At present massless single scale quantities can be calculated analytically in QCD to 4-loop order and single mass and double mass quantities to 3-loop order, while zero scale quantities have been calculated to 5-loop order. The precision requirements of the planned measurements, particularly at the FCC-ee, form important challenges to theory, and will need important extensions of the presently known methods.
Keywords
Cite
@article{arxiv.1809.02889,
title = {Analytic Computing Methods for Precision Calculations in Quantum Field Theory},
author = {Johannes Blümlein and Carsten Schneider},
journal= {arXiv preprint arXiv:1809.02889},
year = {2018}
}
Comments
29 pages LATEX