You need JavaScript to view this

Dispersion relations for vacuum-polarization functions in electroweak physics

Technical Report:

Abstract

We propose a class of once-subtracted dispersion relations for the vacuum-polarization functions of massive fermions, in which the subtraction constants are determined explicitly from Ward indentities. We show that in perturbation theory to O({alpha}) and O({alpha}{alpha}{sub s}) this approach, the alternative dispersion relations proposed by Chang, Gaemers, and van Neerven, and dimensional regularization all give the same contributions to electroweak observables such as {Delta}{rho} and {Delta}{rho}. The threshold behaviours of the subtraction integrands are, however, very different and the two dispersion methods are expected to lead to significantly variant estimates of contributions arising form non-perturbative tanti t threshold effects. (orig.).
Authors:
Kniehl, B A; [1]  Sirlin, A [2] 
  1. Wisconsin Univ., Madison, WI (United States). Dept. of Physics
  2. New York Univ., NY (United States). Dept. of Physics
Publication Date:
Sep 01, 1991
Product Type:
Technical Report
Report Number:
DESY-91-103; MAD/PH-670
Reference Number:
SCA: 662210; PA: DEN-92:000739; SN: 92000645618
Resource Relation:
Other Information: PBD: Sep 1991
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; WEINBERG LEPTON MODEL; VACUUM POLARIZATION; FERMIONS; PERTURBATION THEORY; WARD IDENTITY; DISPERSION RELATIONS; QUANTUM ELECTRODYNAMICS; QUANTUM CHROMODYNAMICS; REST MASS; RENORMALIZATION; RADIATIVE CORRECTIONS; FUNCTIONS; 662210; UNIFIED THEORIES AND MODELS
OSTI ID:
10114470
Research Organizations:
Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
Country of Origin:
Germany
Language:
English
Other Identifying Numbers:
Other: ON: DE92759320; CNN: Contract DE-AC02-76ER00881; Grant PHY-90-17585; TRN: DE9200739
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
DEN
Size:
11 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Kniehl, B A, and Sirlin, A. Dispersion relations for vacuum-polarization functions in electroweak physics. Germany: N. p., 1991. Web.
Kniehl, B A, & Sirlin, A. Dispersion relations for vacuum-polarization functions in electroweak physics. Germany.
Kniehl, B A, and Sirlin, A. 1991. "Dispersion relations for vacuum-polarization functions in electroweak physics." Germany.
@misc{etde_10114470,
title = {Dispersion relations for vacuum-polarization functions in electroweak physics}
author = {Kniehl, B A, and Sirlin, A}
abstractNote = {We propose a class of once-subtracted dispersion relations for the vacuum-polarization functions of massive fermions, in which the subtraction constants are determined explicitly from Ward indentities. We show that in perturbation theory to O({alpha}) and O({alpha}{alpha}{sub s}) this approach, the alternative dispersion relations proposed by Chang, Gaemers, and van Neerven, and dimensional regularization all give the same contributions to electroweak observables such as {Delta}{rho} and {Delta}{rho}. The threshold behaviours of the subtraction integrands are, however, very different and the two dispersion methods are expected to lead to significantly variant estimates of contributions arising form non-perturbative tanti t threshold effects. (orig.).}
place = {Germany}
year = {1991}
month = {Sep}
}