Ordinary Muon Capture in Hydrogen Reexamined

Abstract

The rate of muon capture in a muonic hydrogen atom is calculated in heavy-nucleon chiral perturbation theory up to next-to-next-to leading order. To this order, we present the systematic evaluation of all the corrections due to the QED and electroweak radiative corrections and the proton-size effect. Since the low-energy constants involved can be determined from other independent sources of information, the theory has predictive power. For the hyperfine-singlet $\mu p$ capture rate ${\Gamma }_0$, our calculation gives ${\Gamma }_0=710\pm 5s^{-1}$, which is in excellent agreement with the experimental value obtained in a recent high-precision measurement by the MuCap Collaboration.

17 pages, Numerical errors corrected

References in corpus (5)

• Muonic hydrogen and the proton radius puzzle
• Chiral Perturbation Theory and Baryon Properties
• Measurement of the Rate of Muon Capture in Hydrogen Gas and Determination of the Proton's Pseudoscalar Coupling $g_P$
• Measurement of Muon Capture on the Proton to 1% Precision and Determination of the Pseudoscalar Coupling g_P
• Electroweak Radiative Corrections to Muon Capture

Cited by in corpus (3)

• Nucleon Axial Radius and Muonic Hydrogen - A New Analysis and Review
• An update of muon capture on hydrogen
• The muon capture rate on hydrogen and the values of $g_A$ and $g_{\pi NN}$