Matrix elements of the electromagnetic operator between kaon and pion states

Understand

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.