Taste non-Goldstone, flavor-charged pseudo-Goldstone boson masses in staggered chiral perturbation theory

We calculate the masses of taste non-Goldstone pions and kaons in staggered chiral perturbation theory through next-to-leading order in the standard power counting. The results can be used to quantitatively understand taste violations in existing lattice data generated with staggered fermions and to...

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Bibliographic Details
Published in:Physical review. D, Particles, fields, gravitation, and cosmology Particles, fields, gravitation, and cosmology, 2012-05, Vol.85 (9), Article 094503
Main Authors: Bailey, Jon A., Kim, Hyung-Jin, Lee, Weonjong
Format: Article
Language:English
Subjects:
Cosmology
Counting
Couplings
Flavor (particle physics)
Kaons
Mathematical analysis
Perturbation theory
Quenching (cooling)
Taste
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Summary:We calculate the masses of taste non-Goldstone pions and kaons in staggered chiral perturbation theory through next-to-leading order in the standard power counting. The results can be used to quantitatively understand taste violations in existing lattice data generated with staggered fermions and to extract the u, d, and s quark masses and Gasser-Leutwyler parameters from the experimentally observed spectrum. The expressions for the non-Goldstone masses contain low-energy couplings unique to the non-Goldstone sector. With two exceptions these enter as coefficients of analytic terms; all the new couplings can be fixed by performing spectrum calculations. We report one-loop results for the quenched case and the fully dynamical and partially quenched 1 + 1 + 1 and 2 + 1 flavor cases in the chiral SU(3) and SU(2) theories.
ISSN:1550-7998
1550-2368
DOI:10.1103/PhysRevD.85.094503