Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2005-05-10
Eur.Phys.J.C42:403-417,2005
Physics
High Energy Physics
High Energy Physics - Phenomenology
28 pages, latex
Scientific paper
10.1140/epjc/s2005-02316-8
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 $\log(M\_Z/M\_\rho)$ approximation.
Descotes-Genon Sebastien
Moussallam Bachir
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