Abstract
The two-loop electroweak bosonic correction to the muon lifetime and the MW–MZ interdependence is computed using analytical methods of asymptotic expansion. Combined with previous calculations this completes the full two-loop correction to Δr in the Standard Model. The shift to the prediction of W-boson mass due to two-loop bosonic corrections does not exceed 1 MeV for the range of the Higgs boson mass from 100 to 1000 GeV.
Highlights
The Fermi constant GF plays an important role in the precision tests of the Standard Model
Fermi constant is defined as the coupling constant in the low energy four fermion effective Lagrangian describing the decay of the muon γ5)μ] [eγα(1
In order to relate GF to MW one can use the matching condition between effective theory (1) and the Standard Model, which requires that the value of τμ does not depend on whether it is evaluated in the Fermi theory or in the full Standard Model
Summary
The Fermi constant GF plays an important role in the precision tests of the Standard Model. At one-loop order these corrections have been computed a long time ago [3]. In order to relate GF to MW one can use the matching condition between effective theory (1) and the Standard Model, which requires that the value of τμ does not depend on whether it is evaluated in the Fermi theory or in the full Standard Model.
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