Radiative Corrections in the SU(2)-L x U(1) Theory: A Simple Renormalization Framework
Mar, 198045 pages
Published in:
- Phys.Rev.D 22 (1980) 971-981
Report number:
- PRINT-80-0267 (IAS,PRINCETON)
Citations per year
Abstract: (APS)
A simple renormalization framework to carry out practical calculations in the SU(2)L×U(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: μ decay, β decay, ν-induced reactions, and other leptonic and semileptonic processes. The role played by cosθW is discussed in some detail. Using the results and methods of the current-algebra formulation of radiative corrections, an effective Lagrangian is derived for μ 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 Gμ. The corrections to the relation mW=(πα2Gμ)12sinθW 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.- gauge field theory: SU(2) x U(1)
- radiative correction
- renormalization
- current algebra
- effective Lagrangian
- muon: decay
- decay: muon
- particle: heavy
- Weinberg angle
- hadron: charge
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