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 00:00:00 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), Vol. 29:1
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
INTERMEDIATE BOSONS
REST MASS
MUONS
LIFETIME
RADIATIVE CORRECTIONS
RENORMALIZATION
SU-2 GROUPS
U-1 GROUPS
V-A THEORY
VACUUM POLARIZATION
BOSONS
CORRECTIONS
ELEMENTARY PARTICLES
FERMIONS
LEPTONS
LIE GROUPS
MASS
POSTULATED PARTICLES
SU GROUPS
SYMMETRY GROUPS
U GROUPS
645202* - High Energy Physics- Particle Interactions & Properties-Theoretical- Electromagnetic Interactions & Properties
645203 - High Energy Physics- Particle Interactions & Properties-Theoretical- Weak Interactions & Properties