The kaon semileptonic form factor in Nf=2+1 domain wall lattice QCD with physical light quark masses

Abstract

We present the first calculation of the kaon semileptonic form factor with sea and valence quark masses tuned to their physical values in the continuum limit of 2+1 flavour domain wall lattice QCD. We analyse a comprehensive set of simulations at the phenomenologically convenient point of zero momentum transfer in large physical volumes and for two different values of the lattice spacing. Our prediction for the form factor is f+(0)=0.9685(34)(14) where the first error is statistical and the second error systematic. This result can be combined with experimental measurements of K->pi decays for a determination of the CKM-matrix element for which we predict |Vus|=0.2233(5)(9) where the first error is from experiment and the second error from the lattice computation.

arXiv comment21 pages, 7 figures, 6 tables

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• Twisted finite-volume corrections to $K_{l3}$ decays with partially-quenched and rooted-staggered quarks
• Electromagnetic Corrections to Meson Masses and the HVP
• Status of chiral perturbation theory for light mesons
• Selected results on hadron structure using state-of-the-art lattice QCD simulations
• Kaon semileptonic decays with $N_f=2+1+1$ HISQ fermions and physical light-quark masses
• Chiral behavior of light meson form factors in 2+1 flavor QCD with exact chiral symmetry