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arxiv: hep-ph/9903375 · v1 · submitted 1999-03-17 · ✦ hep-ph · nucl-th

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Virtual photons in baryon chiral perturbation theory

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classification ✦ hep-ph nucl-th
keywords nucleonbaryonchiralelectromagneticperturbationphotonstheoryvirtual
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We construct the general Lagrangian for relativistic and heavy baryon chiral perturbation theory with virtual photons to fourth order. We work out the electromagnetic and strong isospin violating contributions to the nucleon self-energy, the nucleon mass and the scalar form factor of the nucleon. Electromagnetic effects for the shift to the Cheng-Dashen point can be as large as 2 MeV. We also discuss the corrections to Weinberg's prediction for the scattering length difference $a(\pi^0 p) - a(\pi^0 n)$ and show that they are small.

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  1. QED radiative corrections in inverse beta decay from virtual pions

    hep-ph 2026-04 unverdicted novelty 4.0

    Pion-induced QED radiative corrections in inverse beta decay are small, at or below nucleon form factor uncertainties, enabling sub-permille theoretical precision for charged-current neutrino-nucleon scattering above 10 MeV.