Three-Flavor Partially Quenched Chiral Perturbation Theory at NNLO for Meson Masses and Decay Constants

Abstract

We discuss Partially Quenched Chiral Perturbation Theory (PQ$\chi$PT) and possible fitting strategies to Lattice QCD data at next-to-next-to-leading order (NNLO) in the mesonic sector. We also present a complete calculation of the masses of the charged pseudoscalar mesons, in the supersymmetric formulation of PQ$\chi$PT. Explicit analytical results are given for up to three nondegenerate sea quark flavors, along with the previously unpublished expression for the pseudoscalar meson decay constant for three nondegenerate sea quark flavors. The numerical analysis in this paper demonstrates that the corrections at NNLO are sizable, as expected from earlier work.

arXiv comment31 pages, numerical discussion extended including convergence NLO to NNLO

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Cited by in corpus (28)

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• Up, down, strange and charm quark masses with Nf = 2+1+1 twisted mass lattice QCD
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• Chiral perturbation theory
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• The Low Energy Constants of $SU(2)$ Partially Quenched Chiral Perturbation Theory from $N_f=2+1$ Domain Wall QCD
• f_K/f_pi in Full QCD with Domain Wall Valence Quarks
• Improved Analysis of J/psi Decays into a Vector Meson and Two Pseudoscalars
• $F_K/F_{\pi }$ from Möbius domain-wall fermions solved on gradient-flowed HISQ ensembles
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• Two-loop Sunset Integrals at Finite Volume
• Applications of Chiral Perturbation theory to lattice QCD
• The expansion by regions in pi K scattering
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• Interpolation between the epsilon and p regimes
• Finite-size scaling for the left-current correlator with non-degenerate quark masses
• Light pseudoscalar meson masses and decay constants from mixed action lattice QCD
• The eta mass and NNLO Three-Flavor Partially Quenched Chiral Perturbation Theory
• Chiral Limit and Light Quark Masses in 2+1 Flavor Domain Wall QCD
• Lepton decay constants of light mesons
• Finite Volume for Three-Flavour Partially Quenched Chiral Perturbation Theory through NNLO in the Meson Sector
• Sunset integrals at finite volume