Radiative corrections in weak semi-leptonic processes at low energy: a two-step matching determination*

  • S. Descotes-Genon
  • B. Moussallam
Theoretical Physics

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 \(\log(M_Z/M_\rho)\) approximation.

Keywords

Integral Representation Numerical Estimate Particle Acceleration Radiative Correction Vertex Function 

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Copyright information

© Springer-Verlag Berlin/Heidelberg 2005

Authors and Affiliations

  • S. Descotes-Genon
    • 1
  • B. Moussallam
    • 2
  1. 1.Laboratoire de Physique ThéoriqueUniversité Paris-Sud 11OrsayFrance
  2. 2.Institut de Physique NucléaireUniversité Paris-Sud 11OrsayFrance

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