The kaon semileptonic form factor with near physical domain wall quarks

Abstract

We present a new calculation of the K->pi semileptonic form factor at zero momentum transfer in domain wall lattice QCD with Nf=2+1 dynamical quark flavours. By using partially twisted boundary conditions we simulate directly at the phenomenologically relevant point of zero momentum transfer. We perform a joint analysis for all available ensembles which include three different lattice spacings (a=0.09-0.14fm), large physical volumes (m_pi*L>3.9) and pion masses as low as 171 MeV. The comprehensive set of simulation points allows for a detailed study of systematic effects leading to the prediction f+(0)=0.9670(20)(+18/-46), where the first error is statistical and the second error systematic. The result allows us to extract the CKM-matrix element |Vus|=0.2237(+13/-8) and confirm first-row CKM-unitarity in the Standard Model at the sub per mille level.

arXiv comment16 apges, 5 figures

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• FLAG Review 2024
• Two-Baryon Systems with Twisted Boundary Conditions
• $|V_{us}|$ from $K_{\ell 3}$ decay and four-flavor lattice QCD
• Determination of $|V_{us}|$ from a lattice-QCD calculation of the $K\to \pi \ell \nu$ semileptonic form factor with physical quark masses
• The Large $N_c$ limit of QCD on the lattice
• $K_{l3}$ form factors at the physical point on (10.9 fm)${}^3$ volume
• Approximating chiral SU(3) amplitudes
• Semileptonic Kaon Decay in Staggered Chiral Perturbation Theory
• Twisted finite-volume corrections to $K_{l3}$ decays with partially-quenched and rooted-staggered quarks
• $K_{\ell 3}$ form factors at the physical point: Toward the continuum limit
• Kaon semi-leptonic form factor at zero momentum transfer in finite volume
• Theoretical overview of kaon decays