6533b853fe1ef96bd12ac05e

RESEARCH PRODUCT

Kl3Semileptonic Form Factor from (2+1)-Flavor Lattice QCD

Peter BoyleShoichi SasakiRichard KenwayJames ZanottiAmarjit SoniChristopher T. SachrajdaAndreas JüttnerR. J. Tweedie

subject

QuarkPhysicsQuantum chromodynamicsParticle physics010308 nuclear & particles physicsCabibbo–Kobayashi–Maskawa matrixLattice field theoryForm factor (quantum field theory)General Physics and AstronomyLattice QCD01 natural sciencesDomain wall (magnetism)Lattice gauge theory0103 physical sciences010306 general physics

description

We present the first results for the ${K}_{l3}$ form factor from simulations with $2+1$ flavors of dynamical domain wall quarks. Combining our result, namely, ${f}_{+}(0)=0.964(5)$ with the latest experimental results for ${K}_{l3}$ decays leads to $|{V}_{us}|=0.2249(14)$, reducing the uncertaintity in this important parameter. For the $O({p}^{6})$ term in the chiral expansion we obtain $\ensuremath{\Delta}f=\ensuremath{-}0.013(5)$.

https://doi.org/10.1103/physrevlett.100.141601