Finite Volume at Two-loops in Chiral Perturbation Theory
Johan Bijnens, Thomas R\"ossler (Lund)
TL;DR
This paper computes two-loop order finite volume corrections to meson masses and decay constants in two- and three-flavour Chiral Perturbation Theory, providing analytical and numerical results to improve understanding of finite volume effects.
Contribution
It offers the first comprehensive two-loop order calculations of finite volume effects in meson properties within Chiral Perturbation Theory, extending previous one-loop results.
Findings
Analytical expressions for finite volume corrections to meson masses and decay constants.
Numerical results demonstrating the size of finite volume effects.
Comparison with existing one-loop and partial two-loop results.
Abstract
We calculate the finite volume corrections to meson masses and decay constants in two and three flavour Chiral Perturbation Theory to two-loop order. The analytical results are compared with the existing result for the pion mass in two-flavour ChPT and the partial results for the other quantities. We present numerical results for all quantities.
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