Muon capture by a proton in heavy baryon chiral perturbation theory

Fearing, Harold W.; Lewis, Randy; Mobed, Nader; Scherer, Stefan

doi:10.1103/physrevd.56.1783

Cited by 82 publications

(121 citation statements)

References 29 publications

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“…(1.13) and (1.14) we havẽ respectively. Both values of g P CAC P (p) are in reasonable agreement with the calculations of g P CAC P (p) within the framework of the heavy baryon chiral perturbation theory (HBChPT), [6][7][8].…”

Section: Introductionsupporting

confidence: 74%

“…[8], a contribution arising from the Wess-Zumino-Witten anomalous Lagrangian was estimated. Graphically, it corresponds to our Fig.…”

Section: Corrections Up To the Order O(1/m )mentioning

confidence: 99%

“…It is easy to obtain that u(p ′ )q 1 µĴ a A, µ u(p) =ū(p ′ ) 2Mg A F A (q 2 1 ) − g P (q 2 with g A ≡ g A (0) = −1.267. In the chiral model [2,3], the axial form factor is of the monopole form 8) where m a 1 is the mass of the axial vector meson a 1 (1260). Then for theg P (q 2 1 ), Eq.…”

Section: Introductionmentioning

confidence: 99%

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On radiative muon capture in hydrogen

Truhlík¹,

Khanna

2001

AIP Conference Proceedings

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We analyze the radiative capture of the negative muon in hydrogen using amplitudes derived within the chiral Lagrangian approach. Besides the leading and next to leading order terms, given by the well-known Rood-Tolhoek Hamiltonian, we extract from these amplitudes the corrections of the next order in 1/M (M is the nucleon mass). In addition, we estimate within the same formalism also the ∆(1232) isobar excitation effects and processes described by an anomalous Lagrangian. Using of the parameters of the model obtained from the analysis of the pion photoproduction, which restricts the arbitrariness of the πN ∆ and γN ∆ vertices off-shell, allows us to explain two times more of the discrepancy between the value g P CAC P of the induced pseudoscalar form factor g P , predicted by partial conservation of the axial current, and of g P extracted from the recent TRIUMF experiment, than the standard approach. Varying these parameters independently, one can remove the discrepancy completely.

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Section: Introductionsupporting

confidence: 74%

“…[8], a contribution arising from the Wess-Zumino-Witten anomalous Lagrangian was estimated. Graphically, it corresponds to our Fig.…”

Section: Corrections Up To the Order O(1/m )mentioning

confidence: 99%

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On radiative muon capture in hydrogen

Truhlík¹,

Khanna

2001

AIP Conference Proceedings

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“…[22,23,24,25,26,27,28,29,30]). In chiral perturbation theory, these form factors have been calculated within the early relativistic approach [4], HBχPT [6,31], the small-scale expansion [32], and within the relativistic infrared regularization approach [33].…”

Section: Introductionmentioning

confidence: 99%

Electromagnetic form factors of the nucleon in chiral perturbation theory

Fuchs¹,

Gegelia²,

Scherer³

2004

J. Phys. G: Nucl. Part. Phys.

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The electromagnetic form factors of the nucleon are calculated at order q 4 in the relativistic formulation of baryon chiral perturbation theory. In order to obtain a consistent power counting for the renormalized diagrams we make use of the extended on-mass-shell renormalization scheme which we have discussed in a recent paper. We analyze the Dirac and Pauli form factors, F 1 and F 2 , as well as the electric and magnetic Sachs form factors, G E and G M . Our results are compared with those obtained in the heavy-baryon approach and in the (relativistic) infrared regularization. In addition, the Sachs form factors are compared with experimental data. We confirm previous findings that a one-loop calculation of the electromagnetic form factors does not generate sufficient curvature for the Sachs form factors G p E , G p M , and G n M . Moreover, the electric form factor of the neutron is very sensitive to higher-order contributions.

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“…In the meson sector the pion mass and wave function renormalizations are calculated in standard fashion and are given in a number of sources, for example, [5]. In our conventions and notation we have …”

Section: Appendix B: Mass and Wave Function Renormalizationmentioning

confidence: 99%

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

Ando

Fearing

2007

Phys. Rev. D

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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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Muon capture by a proton in heavy baryon chiral perturbation theory

Cited by 82 publications

References 29 publications

On radiative muon capture in hydrogen

On radiative muon capture in hydrogen

Electromagnetic form factors of the nucleon in chiral perturbation theory

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

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