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

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

2006-08-17

arxiv.org/abs/hep-ph/0608195v1

Phys.Rev.D75:014025,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

Latex, 25 pages, 5 figures

Scientific paper

10.1103/PhysRevD.75.014025

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.

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