Four-Loop QCD Corrections to the Rho Parameter

Details Four-Loop QCD Corrections to the Rho Parameter Four-Loop QCD Corrections to the Rho Parameter

2006-05-18

arxiv.org/abs/hep-ph/0605201v2

Phys.Rev.Lett.97:102003,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

3 pages, 1 figure. Few references are added.The final text published in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.97.102003

The four-loop QCD corrections to the electroweak $\rho$-parameter arising from top and bottom quark loops are computed. Specifically we evaluate the missing ``non-singlet'' piece. Using algebraic methods the amplitude is reduced to a set of around 50 new master integrals which are calculated with various analytical and numerical methods. Inclusion of the newly completed term halves the final value of the four-loop correction for the minimally renormalized top-quark mass. The predictions for the shift of the weak mixing angle and the W-boson mass is thus stabilized.

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