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A closed expression for the UV-divergent parts of one-loop tensor integrals in dimensional regularization

Georg Sulyok
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Abstract

Starting from the general definition of a one-loop tensor N-point function, we use its Feynman parametrization to calculate the UV-divergent part of an arbitrary tensor coefficient in the framework of dimensional regularization. In contrast to existing recursion schemes, we are able to present a general analytic result in closed form that enables direct determination of the UV-divergent part of any one-loop tensor N-point coefficient independent from UV-divergent parts of other one-loop tensor N-point coefficients. Simplified formulas and explicit expressions are presented for A-, B-, C-, D-, E-, and F-functions.

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Georg Sulyok. 2006-09-27. A closed expression for the UV-divergent parts of one-loop tensor integrals in dimensional regularization. https://doi.org/10.1134/s154747711704015x

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