Calculation of loop integrals by dimensional counting
Teoretičeskaâ i matematičeskaâ fizika, Tome 101 (1994) no. 2, pp. 225-234
Voir la notice de l'article provenant de la source Math-Net.Ru
In the framework of dimensional regularization, a new method is proposed for calculating loop integrals on the basis of the analytic properties of these integrals. In this regularization, the results are represented by generalized hypergeometric series. The method makes it possible to relate the expansion coefficients of these series to the original integral. Such a representation of the coefficients greatly simplifies the calculations even in the case of multiloop integrals with any number of masses.
@article{TMF_1994_101_2_a5,
author = {D. T. Gegeliya and G. Sh. Dzhaparidze and K. Sh. Turashvili},
title = {Calculation of loop integrals by dimensional counting},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {225--234},
publisher = {mathdoc},
volume = {101},
number = {2},
year = {1994},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1994_101_2_a5/}
}
TY - JOUR AU - D. T. Gegeliya AU - G. Sh. Dzhaparidze AU - K. Sh. Turashvili TI - Calculation of loop integrals by dimensional counting JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1994 SP - 225 EP - 234 VL - 101 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1994_101_2_a5/ LA - ru ID - TMF_1994_101_2_a5 ER -
%0 Journal Article %A D. T. Gegeliya %A G. Sh. Dzhaparidze %A K. Sh. Turashvili %T Calculation of loop integrals by dimensional counting %J Teoretičeskaâ i matematičeskaâ fizika %D 1994 %P 225-234 %V 101 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1994_101_2_a5/ %G ru %F TMF_1994_101_2_a5
D. T. Gegeliya; G. Sh. Dzhaparidze; K. Sh. Turashvili. Calculation of loop integrals by dimensional counting. Teoretičeskaâ i matematičeskaâ fizika, Tome 101 (1994) no. 2, pp. 225-234. http://geodesic.mathdoc.fr/item/TMF_1994_101_2_a5/