Muon capture by a proton in heavy baryon chiral perturbation theory

Details Muon capture by a proton in heavy baryon chiral perturbation theory Muon capture by a proton in heavy baryon chiral perturbation theory

1997-02-22

arxiv.org/abs/hep-ph/9702394v1

Phys.Rev. D56 (1997) 1783-1791

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, LaTeX, using revtex

Scientific paper

10.1103/PhysRevD.56.1783

The matrix element for muon capture by a proton is calculated to O(p^3) within heavy baryon chiral perturbation theory using the new O(p^3) Lagrangian of Ecker and Mojzis. External nucleon fields are renormalized using the appropriate definition of the wave function renormalization factor Z_N. Our expression for Z_N differs somewhat from that found in existing literature, but is the one which is consistent with the Lagrangian we use and the one which ensures, within our approach, the nonrenormalization of the vector coupling as required by the conserved vector current. Expressions for the standard muon capture form factors are derived and compared to experimental data and we determine three of the coefficients of the Ecker - Mojzis Lagrangian, namely, b_7, b_{19}, and b_{23}.

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