An asymptotic formula for the pion decay constant in a large volume
High Energy Physics - Lattice
2009-11-10 v2 High Energy Physics - Phenomenology
Abstract
We derive an asymptotic formula a la Luscher for the finite volume correction to the pion decay constant: this is expressed as an integral over the < 3 \pi | A_\mu|0 > amplitude after proper subtraction of the pion pole contribution. We analyze the formula numerically at leading and next-to-leading order in the chiral expansion.
Keywords
Cite
@article{arxiv.hep-lat/0403025,
title = {An asymptotic formula for the pion decay constant in a large volume},
author = {Gilberto Colangelo and Christoph Haefeli},
journal= {arXiv preprint arXiv:hep-lat/0403025},
year = {2009}
}
Comments
10 pages, 2 figures, v2: two references and a comment on the corresponding lattice results added