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Calculation of loop integrals by dimensional counting

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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.

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State University, Tbilisi. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 101, No. 2, pp. 225–234, November, 1994.

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Gegeliya, D.T., Dzhaparidze, G.S. & Turashvili, K.S. Calculation of loop integrals by dimensional counting. Theor Math Phys 101, 1313–1319 (1994). https://doi.org/10.1007/BF01018279

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  • DOI: https://doi.org/10.1007/BF01018279

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