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

dc.creatorStuart, Robin G.
dc.date1998-12-10
dc.date.accessioned2026-07-07T06:32:32Z
dc.date.available2026-07-07T06:32:32Z
dc.descriptionThe 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.
dc.description9 pages, LaTeX, uses sprocl.sty, amsmath.sty, amssymb.sty and axodraw.sty. To appear in the Proceedings of the IVth International Symposium on Radiative Corrections (RADCOR98), Barcelona, Spain, 8-12 September, 1998, edited by J. Sola
dc.identifierhttps://arxiv.org/abs/hep-ph/9812323
dc.identifierhttp://arxiv.org/abs/hep-ph/9812323
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98931
dc.subjectHigh Energy Physics - Phenomenology
dc.titleComplete 2-loop quantum electrodynamic contributions to the muon lifetime in the Fermi model
dc.typetext

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