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 Explicit analytical results are given for up to three nondegenerate sea quark flavors, along with the previously unpublished expression for the pseudoscalar meson decay constant for three nondegenerate sea quark flavors.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.

31 pages, numerical discussion extended including convergence NLO to NNLO

Cited by in corpus (13)

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• Chiral perturbation theory
• Leptonic decay constants fK, fD and fDs with Nf = 2+1+1 twisted-mass lattice 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
• Electromagnetic Corrections in Partially Quenched Chiral Perturbation Theory
• Chiral dynamics with strange quarks in the light of recent lattice simulations
• Applications of Chiral Perturbation theory to lattice QCD
• The expansion by regions in pi K scattering
• A Mixed Action Analysis of $\eta$ and ${\eta }^{\prime }$ Mesons
• The eta mass and NNLO Three-Flavor Partially Quenched Chiral Perturbation Theory