1980/08/15 by A. Sirlin · 32 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · doi:10.1103/physrevd.22.971
openalex publication_date 1980/08/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
A simple renormalization framework to carry out practical calculations in the SU(2)L\ifmmode×\else\texttimes\fiU(1) theory is discussed. The basic counterterms associated with the mass matrix of the gauge bosons and their interactions with quarks and leptons are generated and determined in a straightforward manner. They can then be applied, in a systematic fashion, to study the radiative corrections to the various processes of interest: \ensuremathμ decay, \ensuremathβ decay, \ensuremathν-induced reactions, and other leptonic and semileptonic processes. The role played by cos\ensuremathθW is discussed in some detail. Using the results and methods of the current-algebra formulation of radiative corrections, an effective Lagrangian is derived for \ensuremathμ decay in which the contributions of the heavy particles and some of the photonic corrections are reduced to a renormalization factor of the zeroth-order amplitude. This analysis determines the connection between the renormalized constants of the present framework and G_\ensuremathμ. The corrections to the relation mW=\frac(\frac\ensuremathπ\ensuremathα√(2)G_\ensuremathμ)(1)/(2)sin\ensuremathθW are discussed. This leads to some relevant observations concerning certain model-dependent hadronic contributions to these corrections and their cancellation in the comparison between charged-current transitions and neutral-current processes occurring at large momentum transfers.