Masses and Decay Constants of Pseudoscalar Mesons to Two Loops in Two-Flavor Partially Quenched Chiral Perturbation Theory

Abstract

This paper presents a first study of the masses and decay constants of the charged, or flavor-off-diagonal, pseudoscalar mesons to two loops for two flavors of sea-quarks, in Partially Quenched Chiral Perturbation Theory (PQ$\chi$PT). Explicit analytical expressions up to $\mathcal{O}(p^6)$ in the momentum expansion are given. The calculations have been performed within the supersymmetric formulation of PQ$\chi$PT. A numerical analysis is done to indicate the size of the corrections.

20 pages, subsection about determining the LECs from lattice results added, v3 one misprint corrected

References in corpus (5)

• Light pseudoscalar decay constants, quark masses, and low energy constants from three-flavor lattice QCD
• $\pi K$ Scattering in Three Flavour ChPT
• Decay Constants of Pseudoscalar Mesons to Two Loops in Three-Flavor Partially Quenched $\chi$PT
• The Pseudoscalar Meson Mass to Two Loops in Three-Flavor Partially Quenched $\chi$PT
• Quark mass dependence of pseudoscalar masses and decay constants on a lattice

Cited by in corpus (17)

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• Chiral Perturbation Theory Beyond One Loop
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• Improved Analysis of J/psi Decays into a Vector Meson and Two Pseudoscalars
• Electromagnetic Corrections in Partially Quenched Chiral Perturbation Theory
• Three-Flavor Partially Quenched Chiral Perturbation Theory at NNLO for Meson Masses and Decay Constants
• Estimating the Unquenched Strange Quark Mass from the Lattice Axial Ward Identity
• Two-loop Sunset Integrals at Finite Volume
• The expansion by regions in pi K scattering
• Oscillation frequency of B and B mesons in a QCD potential model with relativistic effect
• Light quark masses and pseudoscalar decay constants from Nf=2 Lattice QCD with twisted mass fermions
• The eta mass and NNLO Three-Flavor Partially Quenched Chiral Perturbation Theory
• Staggered chiral perturbation theory in the two-flavor case
• Finite Volume for Three-Flavour Partially Quenched Chiral Perturbation Theory through NNLO in the Meson Sector
• Sunset integrals at finite volume
• NLO and NNLO Low Energy Constants for $SU(2)$ Chiral Perturbation Theory