O(. cap alpha. /sup 2/) corrections to muon lifetime, m/sub W/, and m/sub Z/ in the SU(2)/sub L/ x U(1) theory

Journal Article · Sun Jan 01 04:00:00 EST 1984 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.29.89· OSTI ID:5141004

Sirlin, A

We derive formulas for tau/sub ..mu../, m/sub W/, and m/sub Z/ in the SU(2)/sub L/ x U(1) theory which are valid through O(..cap alpha../sup 2/lnm), where m is a generic fermion mass; terms of O(..cap alpha..m/sub ..mu../ /sup 2//m/sub W/ /sup 2/) are neglected. The emphasis of the analysis is on the role played by fermion mass singularities. The final results are very simple: the radiative correction of the local V-A theory (through O(..cap alpha../sup 2/ln(m/sub ..mu..//m/sub e/))) factors out and the heavy particles induce a renormalization that can be expressed as an elementary function of the corresponding O(..cap alpha..) contribution slightly modified by fourth-order vacuum-polarization effects.

• Research Organization: The Rockefeller University, New York, New York 10021
• OSTI ID: 5141004
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 29:1; 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
BOSONS
CORRECTIONS
ELEMENTARY PARTICLES
FERMIONS
INTERMEDIATE BOSONS
LEPTONS
LIE GROUPS
LIFETIME
MASS
MUONS
POSTULATED PARTICLES
RADIATIVE CORRECTIONS
RENORMALIZATION
REST MASS
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS
V-A THEORY
VACUUM POLARIZATION