Three-flavor partially quenched chiral perturbation theory at NNLO for meson masses and decay constants

2006/02/28 by Johan Bijnens, Niclas Danielsson, Timo A. Lähde +1
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph

paper · pdf · doi:10.1103/physrevd.73.074509

published as Phys.Rev. D73 (2006) 074509 · 31 pages, numerical discussion extended including convergence NLO to NNLO

arxiv created 2006/03/13 · openalex publication_date 2006/04/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss partially quenched chiral perturbation theory (PQ\ensuremathχPT) 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\ensuremathχPT. Explicit analytical results are given for up to three nondegenerate sea-quark flavors, along with the previously unpublished expression for the pseudoscalar meson decay constant for three nondegenerate sea-quark flavors.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.

Citations

• Chiral perturbation theory to one loop
• Chiral perturbation theory for the quenched approximation of QCD
• Chiral perturbation theory: Expansions in the mass of the strange quark
• Phenomenological Lagrangians