Isospin breaking in the pion–nucleon scattering lengths

Hoferichter, Martin; Kubis, Bastian; Meißner, Ulf‐G.

doi:10.1016/j.physletb.2009.05.068

Cited by 71 publications

(108 citation statements)

References 42 publications

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“…. }, and the nucleon and pion mass are identified with the masses of the proton and the charged pion, respectively, see [40] and [47][48][49][50] for a discussion of the pertinent isospin-breaking corrections. As mentioned above, once the Born terms are subtracted, the amplitude in the subthreshold region becomes a polynomial in ν and t. A particularly convenient representation is provided by the subthreshold expansion…”

Section: Subthreshold Parametersmentioning

confidence: 99%

Matching Pion-Nucleon Roy-Steiner Equations to Chiral Perturbation Theory

Hoferichter

Elvira²,

Kubis³

et al. 2015

Phys. Rev. Lett.

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192

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We match the results for the subthreshold parameters of pion-nucleon scattering obtained from a solution of Roy-Steiner equations to chiral perturbation theory up to next-to-next-to-next-to-leading order, to extract the pertinent low-energy constants including a comprehensive analysis of systematic uncertainties and correlations. We study the convergence of the chiral series by investigating the chiral expansion of threshold parameters up to the same order and discuss the role of the ∆(1232) resonance in this context. Results for the low-energy constants are also presented in the counting scheme usually applied in chiral nuclear effective field theory, where they serve as crucial input to determine the long-range part of the nucleon-nucleon potential as well as three-nucleon forces.

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Section: Subthreshold Parametersmentioning

confidence: 99%

Matching Pion-Nucleon Roy-Steiner Equations to Chiral Perturbation Theory

Hoferichter

Elvira²,

Kubis³

et al. 2015

Phys. Rev. Lett.

Self Cite

192

176

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“…If one uses the DR from Ref. [21] below 1 GeV [30] and the current error on the normalization from the decay width, one obtains (conservatively) the uncertainties in the lowest two bins given in brackets in Table 2. Table 2.…”

Section: Fccpmentioning

confidence: 99%

On the precision of a data-driven estimate of the pseudoscalar-pole contribution to hadronic light-by-light scattering in the muong−2

Nyffeler

2016

EPJ Web of Conferences

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Abstract. The evaluation of the numerically dominant pseudoscalar-pole contribution to hadronic light-bylight scattering in the muon g − 2 involves the pseudoscalar-photon transition form factor F Pγ * γ * (−Q 2 1 , −Q 2 2 ) with P = π 0 , η, η and, in general, two off-shell photons with spacelike momenta Q 2 1,2 . We determine which regions of photon momenta give the main contribution for hadronic light-by-light scattering. Furthermore, we analyze how the precision of future measurements of the single-and double-virtual form factor impacts the precision of a data-driven estimate of this contribution to hadronic light-by-light scattering.

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“…In Ref. [5], the extension to all physical channels was given based on the Feynman graphs shown in Fig. 1.…”

Section: Isospin-breaking In the Pionnucleon Scattering Lengthsmentioning

confidence: 99%