Complete O(N_f alpha^2) Weak Contributions to the Muon Lifetime

Physics – High Energy Physics – High Energy Physics - Phenomenology

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30 pages LaTeX. 4 figures. Uses amsmath.sty, axodraw.sty and cite.sty

Scientific paper

10.1016/S0550-3213(99)00245-X

The complete O(N_f alpha^2) weak contributions to the muon lifetime, denoted as Delta r^(2), are calculated in the MS-bar renormalization scheme. These come from 2-loop Feynman diagrams containing a loop formed by complete generations of massless fermions. They form an independent, gauge-invariant set of corrections that, because of the large number of light fermions in the Standard Model, is expected to make a significant contribution. In the MS-bar renormalization scheme with mu'= (pi e^gamma)^(1/2) mu = M_Z and for a Higgs mass, M_H, in the range 100-1000 GeV the contribution varies from -0.55x10^-4 to -1.54x10^-4 for each massless generation of fermions.

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