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Complete 2-loop Quantum Electrodynamic Contributions to the Muon Lifetime in the Fermi Model
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Complete 2-loop Quantum Electrodynamic Contributions to the Muon Lifetime in the Fermi Model
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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).
Forward citations
Cited by 2 Pith papers
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Complete one-loop QED corrections to $D_s^+$ leptonic decays and impact on the CKM unitarity test
Complete one-loop QED and electroweak corrections to D_s^+ leptonic decays give |V_cs| = 0.991 ± 0.007 from latest data, aligning second-column CKM unitarity with the Standard Model.
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Muon lifetime and Fermi constant: an update
Updated Δq = (−4 384 678 ± 34)×10^{-9} reduces theory error on the muon lifetime by an order of magnitude and gives G_F = 1.166 378 59(59)×10^{-5} GeV^{-2}.
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