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Kaon semileptonic decays with $N_f=2+1+1$ HISQ fermions and physical light-quark masses

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arxiv 1611.04118 v2 pith:WSXT5JG3 submitted 2016-11-13 hep-lat hep-exhep-ph

E. Gamiz , A. Bazavov , C. Bernard , C. DeTar , D. Du , A.X. El-Khadra , E.D. Freeland , Steven Gottlieb
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U.M. Heller J. Komijani A.S. Kronfeld J. Laiho P.B. Mackenzie E.T. Neil T. Primer J.N. Simone R. Sugar D. Toussaint R.S. Van de Water Ran Zhou
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classification hep-lathep-exhep-ph
keywords ensemblesfermionshisqvertcalculationchptconfigurationscurrent
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We discuss the reduction of errors in the calculation of the form factor $f_+^{K \pi}(0)$ with HISQ fermions on the $N_f=2+1+1$ MILC configurations from increased statistics on some key ensembles, new data on ensembles with lattice spacings down to 0.042 fm and the study of finite-volume effects within staggered ChPT. We also study the implications for the unitarity of the CKM matrix in the first row and for current tensions with leptonic determinations of $\vert V_{us}\vert$.

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