Momentum expansion of massive two-loop Feynman graphs around a finite value

Citation
A. Ghinculov et Yp. Yao, Momentum expansion of massive two-loop Feynman graphs around a finite value, MOD PHY L A, 15(7), 2000, pp. 509-515
Citations number
13
Categorie Soggetti
Physics
Journal title
MODERN PHYSICS LETTERS A
ISSN journal
02177323 → ACNP
Volume
15
Issue
7
Year of publication
2000
Pages
509 - 515
Database
ISI
SICI code
0217-7323(20000307)15:7<509:MEOMTF>2.0.ZU;2-B
Abstract
We give an algorithm for obtaining expansions of massive two-loop Feynman g raphs in powers of the external momentum around a finite, nonzero value of the momentum. Such momentum derivatives are encountered while evaluating ph ysical radiative corrections, such as in wave function renormalization cons tants. This is based on our general two-loop formalism to reduce massive tw o-loop graphs with renormalizable interactions into a standard set of speci al functions. After the algebraic reduction, the final results are obtained by numerical integration. We apply the expansion algorithm to treat the to p dependent corrections of O(g(2)alpha(s)) to the b-quark self-energy and e xtract its momentum expansion on-shell.