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.

21 pages, 7 figures, 6 tables

References in corpus (6)

• $D\to K,l\nu$ Semileptonic Decay Scalar Form Factor and $|V_{cs}|$ from Lattice QCD
• Continuum Limit of $B_K$ from 2+1 Flavor Domain Wall QCD
• Use of stochastic sources for the lattice determination of light quark physics
• Hadronic form factors in Lattice QCD at small and vanishing momentum transfer
• K->pi form factors with reduced model dependence
• Lattice calculation of isospin corrections to Kl2 and Kl3 decays

Cited by in corpus (2)

• Electromagnetic Corrections to Meson Masses and the HVP
• Kaon semileptonic decays with $N_f=2+1+1$ HISQ fermions and physical light-quark masses