Radiative corrections to neutrino-induced neutral-current phenomenain the SU(2)/sub L/ x U(1) theory

Journal Article · Mon Dec 01 04:00:00 EST 1980 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.22.2695· OSTI ID:6781294

Marciano, W J; Sirlin, A

Weak corrections of order ..cap alpha.. to ..nu..-induced neutral-current phenomena are studied in the SU(2)/sub L/ x U(1) theory. Calculations are carried out using a simple renormalization framework in which costheta/sub W/=m/sub W//m/sub Z/ exactly and amplitudes are expressed in terms of G/sub ..mu../, the universal constant of the weak interactions obtained from muon decay. To rigorously evaluate corrections to hadronic vertices, we employ the current-algebra formulation of radiative corrections. Our main emphasis is on large-momentum-transfer processes such as deep-inelastic scattering; however, we also discuss low-momentum transfers and ..nu..-lepton interactions. We find that the weak radiative corrections to ..nu..-hadron neutral-current scattering give rise to a universal renormalization factor rho/sup( nu;h/)/sub NC/ multiplying the overall amplitude, a correction factor kappa/sup( nu;h/)(q/sup 2/) multiplying sin/sup 2/theta/sub W/, and two new induced currents not present at the tree level. For nonexotic values of m1 (Higgs-scalar mass) and m/sub t/ (t-quark mass), the corrections rho/sup( nu;h/)/sub NC/-1 and kappa/sup( nu;h/)(q/sup 2/)-1 turn out to be small over a wide range of momentum transfers. The smallness of these corrections is mainly due to the renormalization framework employed; but it is helped by a subtle partial cancellation between hadronic and bosonic contributions. Photonic corrections to the hadronic vertices are also briefly discussed in the leading-logarithm approximation of the quark-parton model. Detailed expressions for the ZZ, WW, ..gamma..Z, and ..gamma gamma.. self-energies along with a discussion of the effect of large m/sub t/ on these quantities are given. They play an important role in our renormalization scheme and are useful in the study of radiative corrections to many other processes of physical interest.

• Research Organization: The Rockefeller University, New York, New York 10021
• OSTI ID: 6781294
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 22:11; 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
AMPLITUDES
BASIC INTERACTIONS
COMPOSITE MODELS
CORRECTIONS
DEEP INELASTIC SCATTERING
GAUGE INVARIANCE
INELASTIC SCATTERING
INTERACTIONS
INVARIANCE PRINCIPLES
LEPTON-BARYON INTERACTIONS
LEPTON-HADRON INTERACTIONS
LEPTON-NUCLEON INTERACTIONS
LIE GROUPS
MATHEMATICAL MODELS
NEUTRAL-CURRENT INTERACTIONS
NEUTRINO-NUCLEON INTERACTIONS
PARTICLE INTERACTIONS
PARTICLE MODELS
QUARK MODEL
RADIATIVE CORRECTIONS
RENORMALIZATION
SCATTERING
SCATTERING AMPLITUDES
STRONG INTERACTIONS
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS
WEAK INTERACTIONS