A semi-analytic method to compute Feynman integrals applied to four-loop corrections to the MS ¯ $$ \overline{\mathrm{MS}} $$ -pole quark mass relation

A semi-analytic method to compute Feynman integrals applied to four-loop corrections to the MS ¯ $$ \overline{\mathrm{MS}} $$ -pole quark mass relation

Abstract We describe a method to numerically compute multi-loop integrals, depending on one dimensionless parameter x and the dimension d, in the whole kinematic range of x. The method is based on differential equations, which, however, do not require any special form, and series expansions around s...

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Bibliographic Details
Main Authors: Matteo Fael, Fabian Lange, Kay Schönwald, Matthias Steinhauser
Format: Article
Language:English
Published: SpringerOpen 2021-09-01
Series:Journal of High Energy Physics
Subjects:
Perturbative QCD
Quark Masses and SM Parameters
Heavy Quark Physics
Online Access:https://doi.org/10.1007/JHEP09(2021)152

Internet

https://doi.org/10.1007/JHEP09(2021)152

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