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 Explicit analytical results are given for up to three nondegenerate sea-quark flavors, along with the previously unpublished expression for the pseudoscalar meson decay constant for three nondegenerate sea-quark flavors.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

Authors:
 [1];  [1];  [2]
  1. Department of Theoretical Physics, Lund University, Soelvegatan 14A, SE-223 62 Lund (Sweden)
  2. Helmholtz-Institut fuer Strahlen-und Kernphysik (HISKP), Bonn University, Nussallee 14-16, D-53115 Bonn (Germany)
Publication Date:
OSTI Identifier:
20782828
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 73; Journal Issue: 7; Other Information: DOI: 10.1103/PhysRevD.73.074509; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CHIRAL SYMMETRY; CHIRALITY; CORRECTIONS; FLAVOR MODEL; LATTICE FIELD THEORY; NUMERICAL ANALYSIS; PARTICLE DECAY; PERTURBATION THEORY; PSEUDOSCALAR MESONS; QUANTUM CHROMODYNAMICS; QUARKS; REST MASS; SUPERSYMMETRY

Citation Formats

Bijnens, Johan, Danielsson, Niclas, Division of Mathematical Physics, Lund Institute of Technology, Lund University, Box 118, SE-221 00 Lund, and Laehde, Timo A. Three-flavor partially quenched chiral perturbation theory at NNLO for meson masses and decay constants. United States: N. p., 2006. Web. doi:10.1103/PHYSREVD.73.074509.
Bijnens, Johan, Danielsson, Niclas, Division of Mathematical Physics, Lund Institute of Technology, Lund University, Box 118, SE-221 00 Lund, & Laehde, Timo A. Three-flavor partially quenched chiral perturbation theory at NNLO for meson masses and decay constants. United States. doi:10.1103/PHYSREVD.73.074509.
Bijnens, Johan, Danielsson, Niclas, Division of Mathematical Physics, Lund Institute of Technology, Lund University, Box 118, SE-221 00 Lund, and Laehde, Timo A. Sat . "Three-flavor partially quenched chiral perturbation theory at NNLO for meson masses and decay constants". United States. doi:10.1103/PHYSREVD.73.074509.
@article{osti_20782828,
title = {Three-flavor partially quenched chiral perturbation theory at NNLO for meson masses and decay constants},
author = {Bijnens, Johan and Danielsson, Niclas and Division of Mathematical Physics, Lund Institute of Technology, Lund University, Box 118, SE-221 00 Lund and Laehde, Timo A},
abstractNote = {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.},
doi = {10.1103/PHYSREVD.73.074509},
journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 7,
volume = 73,
place = {United States},
year = {2006},
month = {4}
}