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arXiv · hep-ph/0611244

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

M. Faisst·P. Maierhoefer·C. Sturm
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Abstract

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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M. Faisst, P. Maierhoefer, C. Sturm. 2006-11-18. Standard and epsilon-finite Master Integrals for the rho-Parameter. https://doi.org/10.1016/j.nuclphysb.2006.12.014

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