Standard and epsilon-finite Master Integrals for the rho-Parameter

Details Standard and epsilon-finite Master Integrals for the rho-Parameter Standard and epsilon-finite Master Integrals for the rho-Parameter

2006-11-18

arxiv.org/abs/hep-ph/0611244v1

Nucl.Phys.B766:246-268,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

26 pages

Scientific paper

10.1016/j.nuclphysb.2006.12.014

We have constructed an epsilon-finite basis of master integrals for all new types of one-scale tadpoles which appear in the calculation of the four-loop QCD corrections to the electroweak rho-parameter. Using transformation rules from the epsilon-finite basis to the standard minimal-number-of-lines basis, we obtain as a by-product analytical expressions for few leading terms of the epsilon-expansion of all members of the standard basis. The new master integrals have been computed with the help of the Pade method and by use of difference equations independently.

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