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Title: Ordinary muon capture on a proton in manifestly Lorentz invariant baryon chiral perturbation theory

Abstract

The amplitude for ordinary muon capture on the proton is evaluated, through the first four orders in the expansion parameter, in a manifestly Lorentz invariant form of baryon chiral perturbation theory. Expressions for the low energy constants in terms of physical quantities are obtained in each of the several renormalization schemes which have been proposed for forcing the relativistic approach to obey the same counting rules as obtained in heavy baryon chiral perturbation theory. The advantages and disadvantages of these schemes are discussed, using the muon capture results as an example, with the aim of gaining insight as to which scheme is preferable for practical calculations.

Authors:
;  [1]
  1. TRIUMF, Vancouver, British Columbia, V6T 2A3 (Canada)
Publication Date:
OSTI Identifier:
20933239
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevD.75.014025; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CAPTURE; CHIRALITY; LORENTZ INVARIANCE; MUONS; PERTURBATION THEORY; PROTONS; QUANTUM FIELD THEORY; RELATIVISTIC RANGE; RENORMALIZATION

Citation Formats

Ando, Shungichi, and Fearing, Harold W. Ordinary muon capture on a proton in manifestly Lorentz invariant baryon chiral perturbation theory. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.014025.
Ando, Shungichi, & Fearing, Harold W. Ordinary muon capture on a proton in manifestly Lorentz invariant baryon chiral perturbation theory. United States. doi:10.1103/PHYSREVD.75.014025.
Ando, Shungichi, and Fearing, Harold W. Mon . "Ordinary muon capture on a proton in manifestly Lorentz invariant baryon chiral perturbation theory". United States. doi:10.1103/PHYSREVD.75.014025.
@article{osti_20933239,
title = {Ordinary muon capture on a proton in manifestly Lorentz invariant baryon chiral perturbation theory},
author = {Ando, Shungichi and Fearing, Harold W.},
abstractNote = {The amplitude for ordinary muon capture on the proton is evaluated, through the first four orders in the expansion parameter, in a manifestly Lorentz invariant form of baryon chiral perturbation theory. Expressions for the low energy constants in terms of physical quantities are obtained in each of the several renormalization schemes which have been proposed for forcing the relativistic approach to obey the same counting rules as obtained in heavy baryon chiral perturbation theory. The advantages and disadvantages of these schemes are discussed, using the muon capture results as an example, with the aim of gaining insight as to which scheme is preferable for practical calculations.},
doi = {10.1103/PHYSREVD.75.014025},
journal = {Physical Review. D, Particles Fields},
number = 1,
volume = 75,
place = {United States},
year = {Mon Jan 01 00:00:00 EST 2007},
month = {Mon Jan 01 00:00:00 EST 2007}
}