MOMENTUM EXPANSION OF MASSIVE TWO-LOOP FEYNMAN GRAPHS AROUND A FINITE VALUE

ADRIAN GHINCULOV, YORK-PENG YAO
2000 Modern Physics Letters A  
We give an algorithm for obtaining expansions of massive two-loop Feynman graphs in powers of the external momentum around a finite, nonzero value of the momentum. This is based on our general two-loop formalism to reduce massive two-loop graphs with renormalizable interactions into a standard set of special functions. After the algebraic reduction, the final results are obtained by numerical integration. We apply the expansion algorithm to treat the top-dependent corrections of O(g^2 alpha_s)
more » ... o the b quark self-energy and extract its momentum expansion on-shell.
doi:10.1142/s0217732300000499 fatcat:bk5el4meejbvblu6urlnhujhc4