Matrix elements of the electromagnetic operator between kaon and pion states

TL;DR

This paper calculates the electromagnetic matrix elements between kaon and pion states using lattice QCD, providing new, more accurate tensor form factors at physical quark masses and analyzing differences with previous quenched results.

Contribution

First unquenched lattice QCD calculation of the tensor form factor between kaon and pion states at physical quark masses.

Findings

Tensor form factor at zero momentum transfer: fT_{K extpi}(0) = 0.417(14)(5)

Significant difference from previous quenched results due to chiral extrapolation

Tensor charge of the pion: fT_{ extpi extpi}(0) = 0.195(8)(6)

Abstract

We compute the matrix elements of the electromagnetic (EM) operator (\bar{s} F{\mu \nu} \sigma{\mu \nu} d) between kaon and pion states, using lattice QCD with maximally twisted-mass fermions and two flavors of dynamical quarks (Nf = 2). The operator is renormalized non-perturbatively in the RI'/MOM scheme and our simulations cover pion masses as light as 270 MeV and three values of the lattice spacing from ~ 0.07 up to ~ 0.1 fm. At the physical point our result for the corresponding tensor form factor at zero-momentum transfer is fT{K\pi}(0) = 0.417 (14_stat) (5_syst), where the systematic error does not include the effect of quenching the strange and charm quarks. Our result differs significantly from the old quenched result fT{K\pi}(0) = 0.78 (6) obtained by the SPQcdR Collaboration with pion masses above 500 MeV. We investigate the source of this difference and conclude that it is mainly related to the chiral extrapolation. We also study the tensor charge of the pion and obtain the value fT{\pi\pi}(0) = 0.195 (8_stat) (6_syst) in good agreement with, but more accurate than the result fT{\pi\pi}(0) = 0.216 (34) obtained by the QCDSF Collaboration using higher pion masses.