Finite volume corrections to pi-pi scattering
High Energy Physics - Lattice
2014-11-17 v3 High Energy Physics - Phenomenology
Nuclear Theory
Abstract
Lattice QCD studies of hadron-hadron interactions are performed by computing the energy levels of the system in a finite box. The shifts in energy levels proportional to inverse powers of the volume are related to scattering parameters in a model independent way. In addition, there are non-universal exponentially suppressed corrections that distort this relation. These terms are proportional to exp(-m_pi L) and become relevant as the chiral limit is approached. In this paper we report on a one-loop chiral perturbation theory calculation of the leading exponential corrections in the case of I=2 pi-pi scattering near threshold.
Cite
@article{arxiv.hep-lat/0601033,
title = {Finite volume corrections to pi-pi scattering},
author = {Paulo F. Bedaque and Ikuro Sato and Andre Walker-Loud},
journal= {arXiv preprint arXiv:hep-lat/0601033},
year = {2014}
}
Comments
17 pages, 2 figures, 1 table. Version published in PRD