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.
Highlights
Recent years have observed a rapidly increasing interest in calculations of nucleon structure functions on the lattice
The obtained results allow for a detailed estimation of the finite-volume corrections to the amplitude which can be extracted on the lattice using the background field technique
In the present paper we shall concentrate on an alternative proposal which is based on the use of the background field technique for measuring the forward doubly virtual Compton scattering amplitude off nucleons; see Refs. [7,8,9,10,11,12,13]
Summary
Recent years have observed a rapidly increasing interest in calculations of nucleon structure functions on the lattice. 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. One of the most important questions, which so far has not been addressed in the context of the extraction of the Compton amplitude from lattice data, is the issue of the finite-volume corrections to the physical quantities of interest.
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