Neutral-current weak pion production off the nucleon in covariant chiral perturbation theory

Yao, De-Liang; Alvarez‐Ruso, L.; Vacas, M. J. Vicente

doi:10.1016/j.physletb.2019.05.036

Cited by 20 publications

(24 citation statements)

References 57 publications

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“…Their numerical values are less known due to the lack of precise experimental data. A recent analysis shows that an assumption of the natural size of these LECs leads to a satisfactory description of the available data [179,181]. Short-range dependence on LECs is given in Eq.…”

Section: Dependence On the Unitary Phasesβ 8 Andβmentioning

confidence: 99%

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Nuclear currents in chiral effective field theory

Krebs

2020

Eur. Phys. J. A

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In this article, we review the status of the calculation of nuclear currents within chiral effective field theory. After formal discussion of the unitary transformation technique and its application to nuclear currents we give all available expressions for vector, axial-vector currents. Vector and axial-vector currents are discussed up to order Q with leading-order contribution starting at order $$Q^{-3}$$ Q - 3 . Pseudoscalar and scalar currents will be discussed up to order $$Q^0$$ Q 0 with leading-order contribution starting at order $$Q^{-4}$$ Q - 4 . This is a complete set of expressions in next-to-next-to-next-to-leading-order (N$$^3$$ 3 LO) analysis for nuclear scalar, pseudoscalar, vector and axial-vector current operators. Differences between vector and axial-vector currents calculated via transfer-matrix inversion and unitary transformation techniques are discussed. The importance of a consistent regularization is an additional point which is emphasized: lack of a consistent regularization of axial-vector current operators is shown to lead to a violation of the chiral symmetry in the chiral limit at order Q. For this reason a hybrid approach at order Q, discussed in various publications, is non-applicable. To respect the chiral symmetry the same regularization procedure needs to be used in the construction of nuclear forces and current operators. Although full expressions of consistently regularized current operators are not yet available, the isoscalar part of the electromagnetic charge operator up to order Q has a very simple form and can be easily regularized in a consistent way. As an application, we review our recent high accuracy calculation of the deuteron charge form factor with a quantified error estimate.

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Section: Dependence On the Unitary Phasesβ 8 Andβmentioning

confidence: 99%

“…Scalar current: One-pion-exchange contribution to scalar current is given in Eq. (181). As can be directly read off from Eq.…”

Section: Dependence On the Unitary Phasesβ 8 Andβmentioning

confidence: 99%

Nuclear currents in chiral effective field theory

Krebs

2020

Eur. Phys. J. A

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“…In the low-energy region, the chiral perturbation theory can provide a systematic way of the analysis of the electroweak pion production reaction. The low-energy single-pion production reaction is studied in the rela-tivistic chiral perturbation theory [53,54] and the heavy baryon chiral perturbation theory [55]. It would be very useful to test the partial wave amplitudes of reaction models, for example amplitudes of the DCC model, in comparison with those obtained from the chiral perturbation theory.…”

Section: Models Of the Neutrino-induced Meson Productionmentioning

confidence: 99%

Neutrino–nucleon reactions in resonance region

Satô

2021

Eur. Phys. J. Spec. Top.

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Theoretical models of the neutrino-induced meson production reaction are reviewed. The formulation of various approaches to the neutrino reactions in the resonance region is briefly discussed. The total cross-section, the distribution of charged lepton and pion are examined using the dynamical coupled channel (DCC) model. Possible test of the models of axial vector current in the resonance region is discussed.

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“…Since 1980s, it has been successful to explore the electroproduction and relevant processes using chiral perturbation theory (χPT) at low energies [16][17][18][19][20]. For the calculation of loop diagrams, there are several renormalization schemes, which are e.g.…”

Section: Introductionmentioning

confidence: 99%

Dispersive analysis of low energy $γ^* N\rightarrowπN$ process

Cao,

Ma,

Zheng

2021

Preprint

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We use a dispersion representation based on unitarity and analyticity to study the low energy γ * N → πN process in the S11 channel. Final state interactions among the πN system are critical to this analysis. The left-hand part of the partial wave amplitude is imported from O(p 2 ) chiral perturbation theory result. On the right hand part, the final state interaction is calculated through Omnès formula in S-wave. It is found that good numerical fit can be achieved with only one subtraction parameter, and the eletroproduction experimental data of multipole amplitudes E0+, S0+ in the energy region below ∆(1232) are well described when the photon virtuality Q 2 ≤ 0.1GeV 2 . The γ * N coupling of the possible sub-threshold resonance in S11 channel is also investigated.

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Neutral-current weak pion production off the nucleon in covariant chiral perturbation theory

Cited by 20 publications

References 57 publications

Nuclear currents in chiral effective field theory

Nuclear currents in chiral effective field theory

Neutrino–nucleon reactions in resonance region

Dispersive analysis of low energy $γ^* N\rightarrowπN$ process

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