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arxiv: 1001.4692 · v1 · pith:4ZW6ZTFMnew · submitted 2010-01-26 · ✦ hep-lat · hep-ph

The ratio FK/Fpi in QCD

S. Durr , Z. Fodor , C. Hoelbling , S. D. Katz , S. Krieg , T. Kurth , L. Lellouch , T. Lippert
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A. Ramos K. K. Szabo
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classification ✦ hep-lat hep-ph
keywords latticematrixratiocalculationsdeterminedifferentdownelement
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We determine the ratio FK/Fpi in QCD with Nf=2+1 flavors of sea quarks, based on a series of lattice calculations with three different lattice spacings, large volumes and a simulated pion mass reaching down to about 190 MeV. We obtain FK/Fpi=1.192 +/- 0.007(stat) +/- 0.006(syst). This result is then used to give an updated value of the CKM matrix element |Vus|. The unitarity relation for the first row of this matrix is found to be well observed.

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