Solving recurrence relations for multiloop integrals in the limit of large values of the dimensional regularization parameter

Autor: P. A. Baikov
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2024, Iss 11, Pp 1-13 (2024)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP11(2024)016
Popis: Abstract A method for calculating the 1/d expansion coefficients for solutions of integration by parts relations for Feynman integrals is presented. The idea is to use linear substitutions to transform these relations to an explicitly recursive form. A possible type of such substitutions is proposed for the case of vacuum integrals. Its applicability is shown for several families of massless (with one massive line) vacuum integrals up to the 7-loop level.
Databáze: Directory of Open Access Journals