Physics of Particles and Nuclei Letters

, Volume 14, Issue 4, pp 631–643 | Cite as

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

  • G. Sulyok
Computer Technologies in Physics


Starting from the general definition of a one-loop tensor N-point function, we use its Feynman parametrization to calculate the ultraviolet (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.


quantum field theory high energy physics phenomenology dimensional regularization tensor integrals ultraviolet divergences 


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© Pleiades Publishing, Ltd. 2017

Authors and Affiliations

  1. 1.Institute of Atomic and Subatomic PhysicsVienna University of TechnologyViennaAustria

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