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Author van Ritbergen, Timo ♦ Stuart, Robin G.
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 1998-08-10
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Physics
Subject Keyword High Energy Physics - Phenomenology ♦ physics:hep-ph
Abstract The complete 2-loop quantum electrodynamic corrections to the muon lifetime are calculated in the Fermi theory. The exact result for the effects of virtual and real photons, virtual electrons, muons as well as e+e- pair creation is Delta Gamma_QED = Gamma_0(alpha/pi)^2[(156815/5184)-(1036/27)zeta(2)-(895/36)zeta(3) +(67/8)zeta(4)+53zeta(2)ln(2)] = Gamma_0(alpha/pi)^2(6.743) where Gamma_0 is the tree-level width. The theoretical error in the value of the Fermi coupling constant, G_F, is now rendered negligible compared to the experimental uncertainty coming from the measurement of the muon lifetime. The overall error in G_F is then roughly halved giving G_F = (1.16637 +/- 0.00001) x 10^(-5) GeV^(-2).
Description Reference: Phys.Rev.Lett.82:488-491,1999
Educational Use Research
Learning Resource Type Article
Page Count 5


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