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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 1994 Volume 101, Number 2, Pages 225–234 (Mi tmf1681)

This article is cited in 33 papers

Calculation of loop integrals by dimensional counting

D. T. Gegeliya, G. Sh. Dzhaparidze, K. Sh. Turashvili

Tbilisi Ivane Javakhishvili State University

Abstract: 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.

Received: 23.08.1993


 English version:
Theoretical and Mathematical Physics, 1994, 101:2, 1313–1319

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© Steklov Math. Inst. of RAS, 2024