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Finite volume effects for the pion mass at two loops

Gilberto Colangelo·Christoph Haefeli
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Abstract

We evaluate the pion mass in finite volume to two loops within Chiral Perturbation Theory. The results are compared with a recently proposed extension of the asymptotic formula of Luscher. We find that contributions, which were neglected in the latter, are numerically very small at the two-loop level and conclude that for Mpi*L>2, L>2fm the finite volume effects in the meson sector are analytically well under control.

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BibTeXRIS

Gilberto Colangelo, Christoph Haefeli. 2006-02-14. Finite volume effects for the pion mass at two loops. https://doi.org/10.1016/j.nuclphysb.2006.03.010

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