CALCULATION OF LOOP INTEGRALS BY DIMENSIONAL COUNTING

Citation
Dt. Gegeliya et al., CALCULATION OF LOOP INTEGRALS BY DIMENSIONAL COUNTING, Theoretical and mathematical physics, 101(2), 1994, pp. 1313-1319
Citations number
3
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
ISSN journal
00405779
Volume
101
Issue
2
Year of publication
1994
Pages
1313 - 1319
Database
ISI
SICI code
0040-5779(1994)101:2<1313:COLIBD>2.0.ZU;2-J
Abstract
In the framework of dimensional regularization, a new method is propos ed for calculating loop integrals on the basis of the analytic propert ies of these integrals. In this regularization, the results are repres ented by generalized hypergeometric series. The method makes it possib le to relate the expansion coefficients of these series to the origina l integral. Such a representation of the coefficients greatly simplifi es the calculations even in the case of multiloop integrals with any n umber of masses.