Hadronic Contributions to the Muon Lifetime

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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10 pages LaTeX. 1 figure. Uses amsmath.sty, cite.sty and axodraw.sty Discussion expanded. Results unchanged

Scientific paper

10.1016/S0370-2693(98)00895-8

Hadronic corrections to the muon lifetime are calculated in the Fermi theory in the presence of QED using dispersion relations. The result, after convolution of hadron data with the calculated perturbative kernel is Delta Gamma_had = -Gamma_0(alpha/pi)^2(0.042) where Gamma_0 is the tree-level width. The results are also used to obtain the corrections to the muon lifetime coming from virtual muon and tau loops Delta Gamma_muon = Gamma_0(alpha/pi)^2[(16987/576)-(85/36)zeta(2)-(64/3)zeta(3)] = -Gamma_0(alpha/pi)^2(0.0364333) Delta Gamma_tau = -Gamma_0(alpha/pi)^2)(0.00058)

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