Staggered chiral perturbation theory in the two-flavor case and SU(2) analysis of the MILC data

A. Bazavov, C. Bernard, C. DeTar, X. Du, Walter Freeman, Steven Gottlieb, U. M. Heller, J. E. Hetrick, John W Laiho, L. Levkova, M. B. Oktay, R. Sugar, D. Toussaint, R. S. Van De Water

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Abstract

In the light pseudoscalar sector, we study rooted staggered chiral perturbation theory in the two-flavor case. The pion mass and decay constant are calculated through NLO for a partially-quenched theory. In the limit where the strange quark mass is large compared to the light quark masses and the taste splittings, we show that the SU(2) staggered chiral theory emerges from the SU(3) staggered chiral theory, as expected. Explicit relations between SU(2) and SU(3) low energy constants and taste-violating parameters are given. A brief summary of updated SU(2) chiral fits to the MILC lattice data is presented.

Original languageEnglish (US)
JournalProceedings of Science
Volume105
StatePublished - Jan 1 2010
Externally publishedYes
Event28th International Symposium on Lattice Field Theory, Lattice 2010 - Villasimius, Sardinia, Italy
Duration: Jun 14 2010Jun 19 2010

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ASJC Scopus subject areas

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Cite this

Bazavov, A., Bernard, C., DeTar, C., Du, X., Freeman, W., Gottlieb, S., Heller, U. M., Hetrick, J. E., Laiho, J. W., Levkova, L., Oktay, M. B., Sugar, R., Toussaint, D., & Van De Water, R. S. (2010). Staggered chiral perturbation theory in the two-flavor case and SU(2) analysis of the MILC data. Proceedings of Science, 105.