Radiative corrections in the SU(2)/sub L/ x U(1) theory: A simple renormalization framework
A simple renormalization framework to carry out practical calculations in the SU(2)/sub L/ x 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: ..mu.. decay, ..beta.. decay, ..nu..-induced reactions, and other leptonic and semileptonic processes. The role played by costheta/sub W/ is discussed in some detail. Using the results and methods of the current-algebra formulation of radiative corrections, an effective Lagrangian is derived for ..mu.. 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/sub ..mu../. The corrections to the relation m/sub W/=(pi..cap alpha../..sqrt..2G/sub ..mu../)/sup 1/2//sintheta/sub W/ 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.
- Research Organization:
- The Institute for Advanced Study, Princeton, New Jersey 08540
- OSTI ID:
- 5055937
- Journal Information:
- Phys. Rev., D; (United States), Vol. 22:4
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
RADIATIVE CORRECTIONS
RENORMALIZATION
SU-2 GROUPS
U-1 GROUPS
WEAK INTERACTIONS
BOSONS
CP INVARIANCE
GAUGE INVARIANCE
QUARKS
SYMMETRY BREAKING
WEINBERG-SALAM GAUGE MODEL
BASIC INTERACTIONS
CORRECTIONS
ELEMENTARY PARTICLES
INTERACTIONS
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
POSTULATED PARTICLES
SU GROUPS
SYMMETRY GROUPS
U GROUPS
UNIFIED GAUGE MODELS
645202* - High Energy Physics- Particle Interactions & Properties-Theoretical- Electromagnetic Interactions & Properties
645203 - High Energy Physics- Particle Interactions & Properties-Theoretical- Weak Interactions & Properties