Radiative corrections in the SU(2)/sub L/ x U(1) theory: A simple renormalization framework

Journal Article · Fri Aug 15 04:00:00 EDT 1980 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.22.971· OSTI ID:5055937

Sirlin, A

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), Journal Name: Phys. Rev., D; (United States) Vol. 22:4; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645202* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Electromagnetic Interactions & Properties
645203 -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Weak Interactions & Properties
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BASIC INTERACTIONS
BOSONS
CORRECTIONS
CP INVARIANCE
ELEMENTARY PARTICLES
GAUGE INVARIANCE
INTERACTIONS
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
POSTULATED PARTICLES
QUARKS
RADIATIVE CORRECTIONS
RENORMALIZATION
SU GROUPS
SU-2 GROUPS
SYMMETRY BREAKING
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS
UNIFIED GAUGE MODELS
WEAK INTERACTIONS
WEINBERG-SALAM GAUGE MODEL