Matrix elements of the electromagnetic operator between kaon and pion states

Abstract

We compute the matrix elements of the electromagnetic (EM) operator (\bar{s} F{μν} σ{μν} 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{Kπ}(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{Kπ}(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{ππ}(0) = 0.195 (8_stat) (6_syst) in good agreement with, but more accurate than the result fT{ππ}(0) = 0.216 (34) obtained by the QCDSF Collaboration using higher pion masses.

6 pages, 5 figures, 2 tables

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• Flavor Physics in the Quark Sector
• Light Meson Physics from Maximally Twisted Mass Lattice QCD
• Non-perturbative renormalization of quark bilinear operators with Nf=2 (tmQCD) Wilson fermions and the tree-level improved gauge action
• Average up/down, strange and charm quark masses with Nf=2 twisted mass lattice QCD
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• K -> pion Semileptonic Form Factors from Two-Flavor Lattice QCD
• Generalized parton distributions for the nucleon in chiral perturbation theory
• Quark masses with Nf=2 twisted mass lattice QCD

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