Decay Constants of Pseudoscalar Mesons to Two Loops in Three-Flavor Partially Quenched $χ$PT

Details Decay Constants of Pseudoscalar Mesons to Two Loops in Three-Flavor Partially Quenched $χ$PT Decay Constants of Pseudoscalar Mesons to Two Loops in Three-Flavor Partially Quenched $χ$PT

2005-01-18

arxiv.org/abs/hep-lat/0501014v1

Phys.Rev. D71 (2005) 094502

Physics

High Energy Physics

High Energy Physics - Lattice

14p

Scientific paper

10.1103/PhysRevD.71.094502

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

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