Finite volume corrections to forward Compton scattering off the nucleon
J. Lozano (Bonn U., HISKP), A. Agadjanov (Mainz U.), J. Gegelia, (Bochum U., Tbilisi State U.), U.-G. Mei{\ss}ner (Bonn U., HISKP, FZ, J\"ulich, Tbilisi State U.), A. Rusetsky (Bonn U., HISKP, Tbilisi State, U.)
TL;DR
This paper computes finite-volume corrections to forward Compton scattering off nucleons using baryon chiral perturbation theory, aiding lattice QCD analyses by quantifying volume effects on scattering amplitudes.
Contribution
It provides the first complete one-loop order calculation of finite-volume effects on nucleon Compton scattering amplitudes within Lorentz invariant baryon chiral perturbation theory.
Findings
Finite-volume corrections are quantitatively estimated.
Results facilitate lattice QCD extraction of scattering amplitudes.
Calculations are performed both in infinite and finite volumes.
Abstract
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 . 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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