Complete 2-loop quantum electrodynamic contributions to the muon lifetime in the Fermi model

Details Complete 2-loop quantum electrodynamic contributions to the muon lifetime in the Fermi model Complete 2-loop quantum electrodynamic contributions to the muon lifetime in the Fermi model

1998-12-10

arxiv.org/abs/hep-ph/9812323v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, LaTeX, uses sprocl.sty, amsmath.sty, amssymb.sty and axodraw.sty. To appear in the Proceedings of the IVth Internatio

Scientific paper

The complete 2-loop QED contributions to the muon lifetime have been calculated analytically in the Fermi theory. The exact result for the effects of virtual and real photons, virtual electrons, muons and hadrons as well as e+e- pair creation is Delta Gamma^(2)=Gamma_0(alpha/pi)^2[(156815/5184)-(1036/27)zeta(2) -(895/36)zeta(3)+(67/8)zeta(4) +53zeta(2)ln(2)-(0.042+/-0.002)] where Gamma_0 is the tree-level width. This eliminates the theoretical error in the extracted value of the Fermi coupling constant, G_F, which was previously the source of the dominant uncertainty. The new value is G_F=(1.16637 +/- 0.00001) x 10^-5 GeV^-2 with the error being entirely experimental. Several experiments are planned for the next generation of muon lifetime measurements and these can proceed unhindered by theoretical uncertainties.

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