English

Two-loop Sunset Integrals at Finite Volume

High Energy Physics - Lattice 2014-12-03 v1 High Energy Physics - Phenomenology

Abstract

We show how to compute the two-loop sunset integrals at finite volume, for non-degenerate masses and non-zero momentum. We present results for all integrals that appear in the Chiral Perturbation Therory (χ\chiPT) calculation of the pseudoscalar meson masses and decay constants at NNLO, including the case of Partially Quenched χ\chiPT. We also provide numerical implementations of the finite-volume sunset integrals, and review the results for one-loop integrals at finite volume.

Keywords

Cite

@article{arxiv.1311.3531,
  title  = {Two-loop Sunset Integrals at Finite Volume},
  author = {Johan Bijnens and Emil Boström and Timo A. Lähde},
  journal= {arXiv preprint arXiv:1311.3531},
  year   = {2014}
}

Comments

45 pages

R2 v1 2026-06-22T02:07:34.181Z