Finite volume corrections to forward Compton scattering off the nucleon

Authors :: Lozano, J.
Agadjanov, A.
Gegelia, J.
Meißner, U. -G.
Rusetsky, A.
Source :: Phys. Rev. D 103, 034507 (2021)
Publication Year :: 2020
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 $O(p^4)$. 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.<br />Comment: 35 pages, 8 figures