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Update on the physics of light pseudoscalar mesons

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arxiv hep-lat/0609053 v1 pith:XIT6FQE7 submitted 2006-09-26 hep-lat

classification hep-lat
keywords quarkmasslightstrangeapproxdownlatticemesons
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present an update of the MILC investigation of the properties of light pseudoscalar mesons using three flavors of improved staggered quarks. Results are presented for the $\pi$ and $K$ leptonic decay constants, the CKM matrix element $V_{us}$, the up, down and strange quark masses, and the coefficients of the $O(p^4)$ chiral lagrangian. We have new data for lattice spacing $a \approx 0.15$ fm with several values of the light quark mass down to one-tenth the strange quark mass, higher statistics for $a \approx 0.09$ fm with the light quark mass equal to one-tenth the strange quark mass, and initial results for our smallest lattice spacing, $a \approx 0.06$ fm with light quark mass two-fifths of the strange quark mass.

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