arXiv · hep-ph/0505077
Radiative corrections in weak semi-leptoni processes at low energy: a two-step matching determination
Abstract
We focus on the chiral Lagrangian couplings describing radiative corrections to weak semi-leptonic decays and relate them to the decay amplitude of a lepton, computed by Braaten and Li at one loop in the Standard Model. For this purpose, we follow a two-step procedure. A first matching, from the Standard Model to Fermi theory, yields a relevant set of counterterms. The latter are related to chiral couplings thanks to a second matching, from Fermi theory to the chiral Lagrangian, which is performed using the spurion method. We show that the chiral couplings of physical relevance obey integral representations in a closed form, expressed in terms of QCD chiral correlators and vertex functions. We deduce exact relations among the couplings, as well as numerical estimates which go beyond the usual $\log(M\_Z/M\_ρ)$ approximation.
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Bachir Moussallam, Sebastien Descotes-Genon. 2005-05-10. Radiative corrections in weak semi-leptoni processes at low energy: a two-step matching determination. https://doi.org/10.1140/epjc%2Fs2005-02316-8
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