Finite Volume at Two-loops in Chiral Perturbation Theory

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.

arXiv comment26 pages, a number of minor misprints corrected

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Cited by in corpus (14)

• FLAG Review 2019
• The Low Energy Constants of $SU(2)$ Partially Quenched Chiral Perturbation Theory from $N_f=2+1$ Domain Wall QCD
• $F_K/F_{\pi }$ from Möbius domain-wall fermions solved on gradient-flowed HISQ ensembles
• Scale setting and the light baryon spectrum in $N_f=2+1$ QCD with Wilson fermions
• Recurrent Axinovae and their Cosmological Constraints
• Scale setting the Möbius Domain Wall Fermion on gradient-flowed HISQ action using the omega baryon mass and the gradient-flow scales $t_0$ and $w_0$
• Leading order mesonic and baryonic SU(3) low energy constants from $N_f=3$ lattice QCD
• Wake forces in a background of quadratically coupled mediators
• CHIRON: a package for ChPT numerical results at two loops
• Setting the scale for nHYP fermions with the Lüscher-Weisz gauge action
• No Warm Inflation From a Vanilla Axion
• A unified formulation of one-loop tensor integrals for finite volume effects
• Finite Volume for Three-Flavour Partially Quenched Chiral Perturbation Theory through NNLO in the Meson Sector
• Chiral Perturbation Theory at Finite Volume and/or with Twisted Boundary Conditions