Finite volume effects for the pion mass at two loops

2006/02/14 by Gilberto Colangelo, Christoph Haefeli · 3 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph

paper · pdf · doi:10.1016/j.nuclphysb.2006.03.010

published as Nucl.Phys. B744 (2006) 14-33 · 26 pages, 6 figures

arxiv created 2006/02/14 · openalex publication_date 2006/03/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Chiral perturbation theory to one loop
• Heavy meson chiral perturbation theory in finite volume

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