UV-divergent parts of one-loop tensor integrals in dimensional regularisation

Details UV-divergent parts of one-loop tensor integrals in dimensional regularisation UV-divergent parts of one-loop tensor integrals in dimensional regularisation

2006-09-27

arxiv.org/abs/hep-ph/0609282v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

19 pages

Scientific paper

Starting from the general definition of a 1-loop tensor N-point function, we use its Feynman parametrization in order to calculate the UV-divergent part of an arbitrary tensor coefficient in the framework of dimensional regularization. After presenting the general result in closed form, we also provide less complex formulae for certain special cases and explicit expressions for some B-, C-, and D-functions.

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