K\to\pi l \nu form factor with N_f=2+1 dynamical domain wall fermions

TL;DR

This paper reports on lattice QCD calculations of the K→π l ν form factor using 2+1 dynamical domain wall fermions, providing a precise value that agrees with previous results and aids in understanding kaon semileptonic decays.

Contribution

The study presents the first calculation of the K→π l ν form factor with 2+1 dynamical domain wall fermions on multiple lattice sizes and quark masses, including chiral extrapolation.

Findings

Preliminary result f_+^{Kπ}(0)=0.9680(16)

Results are consistent with earlier N_f=2 calculations

Simulations performed on two different lattice sizes

Abstract

We present the latest results from the UKQCD/RBC collaborations for the K_{l3} form factor with 2+1 flavours of dynamical domain wall quarks. Simulations are performed on 16^3x32x16 and 24^3x64x16 lattices with three values of the light quark mass, allowing for an extrapolation to the chiral limit. After interpolating to zero momentum transfer, we obtain the preliminary result f_+^{K\pi}(0)=0.9680(16), which is in excellent agreement with an earlier N_f=2 result.