Nucleon in a periodic magnetic field: Finite-volume aspects

Agadjanov, Andria; Meißner, Ulf‐G.; Rusetsky, Akaki

doi:10.1103/physrevd.99.054501

Cited by 11 publications

(21 citation statements)

References 68 publications

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“…In the present paper we shall concentrate on an alternative proposal which is based on the use of the background field technique (or, the Feynman-Hellmann method) for measuring the forward doubly virtual Compton scattering amplitude off nucleons, see Refs. [3][4][5][6][7][8][9]. This amplitude is directly related to the moments of the structure functions.…”

Section: Introductionmentioning

confidence: 99%

Finite volume corrections to forward Compton scattering off the nucleon

Lozano¹,

Agadjanov

Gegelia

et al. 2021

Phys. Rev. D

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We calculate the spin-averaged amplitude for doubly virtual forward Compton scattering off nucleons in the framework of manifestly Lorentz-invariant baryon chiral perturbation theory at complete one-loop order O(p 4 ). The calculations are carried out both in the infinite and in a finite volume. The obtained results allow for a detailed estimation the finite-volume corrections to the amplitude which can be extracted on the lattice using the background field technique.

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Section: Introductionmentioning

confidence: 99%

Finite volume corrections to forward Compton scattering off the nucleon

Lozano¹,

Agadjanov

Gegelia

et al. 2021

Phys. Rev. D

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show abstract

“…The proposal was inspired by an earlier study of the parity-even structure functions [249]. Some other applications of the FHT on lattice include the calculation of hadronic charges and form factors [212,250], Compton scattering amplitude [251,252] and hadron resonances [253].…”

Section: Future Prospects With Lattice Qcdmentioning

confidence: 99%

Radiative Corrections to Semileptonic Beta Decays: Progress and Challenges

Seng

2021

Particles

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We review some recent progress in the theory of electroweak radiative corrections in semileptonic decay processes. The resurrection of the so-called Sirlin’s representation based on current algebra relations permits a clear separation between the perturbatively-calculable and incalculable pieces in the O(GFα) radiative corrections. The latter are expressed as compact hadronic matrix elements that allow systematic non-perturbative analysis such as dispersion relation and lattice QCD. This brings substantial improvements to the precision of the electroweak radiative corrections in semileptonic decays of pion, kaon, free neutron and JP=0+ nuclei that are important theory inputs in precision tests of the Standard Model. Unresolved issues and future prospects are discussed.

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“…Some other applications of the FHT on lattice include the calculation of hadronic charges and form factors [209,247], Compton scattering amplitude [248,249] and hadron resonances [250].…”

Section: So Far the Direct Lattice Calculation Ofmentioning

confidence: 99%

Radiative corrections to semileptonic beta decays: Progress and challenges

Seng

2021

Preprint

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We review some recent progress in the theory of electroweak radiative corrections in semileptonic decay processes. The resurrection of the so-called Sirlin's representation based on current algebra relations permits a clear separation between the perturbatively-calculable and incalculable pieces in the O(G F α) radiative corrections. The latter are expressed as compact hadronic matrix elements that allow systematic non-perturbative analysis such as dispersion relation and lattice QCD. This brings substantial improvements to the precision of the electroweak radiative corrections in semileptonic decays of pion, kaon, free neutron and J P = 0 + nuclei that are important theory inputs in precision tests of the Standard Model. Unresolved issues and future prospects are discussed.

show abstract

Nucleon in a periodic magnetic field: Finite-volume aspects

Cited by 11 publications

References 68 publications

Finite volume corrections to forward Compton scattering off the nucleon

Finite volume corrections to forward Compton scattering off the nucleon

Radiative Corrections to Semileptonic Beta Decays: Progress and Challenges

Radiative corrections to semileptonic beta decays: Progress and challenges

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