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Hadron masses are subject to few MeV corrections arising from QED interactions, almost entirely arising from the electric charge of the valence quarks. The QED effects include both self-energy contributions and interactions between the valence quarks/anti-quarks. By combining results from different signs of the valence quark electric charge we are able to isolate the interaction term which is dominated by the Coulomb piece, $langle alpha_{mathrm{QED}}e_{q_1}e_{overline{q}_2}/r rangle$, in the nonrelativistic limit. We study this for $D_s$, $eta_c$ and $J/psi$ mesons, working in lattice QCD plus quenched QED. We use gluon field configurations that include up, down, strange and charm quarks in the sea at multiple values of the lattice spacing. Our results, including also values for mesons with quarks heavier than charm, can be used to improve phenomenological models for the QED contributions. The QED interaction term carries information about meson structure; we derive effective sizes $langle 1/r_{mathrm{eff}} rangle^{-1}$ for $eta_c$, $J/psi$ and $D_s$ of 0.206(8) fm, 0.321(14) fm and 0.307(31) fm respectively.
Lattice QCD simulations are now reaching a precision where isospin breaking effects become important. Previously, we have developed a program to systematically investigate the pattern of flavor symmetry beaking within QCD and successfully applied it
The leading electromagnetic (e.m.) and strong isospin-breaking corrections to the $pi^+ to mu^+ u[gamma]$ and $K^+ to mu^+ u[gamma]$ leptonic decay rates are evaluated for the first time on the lattice. The results are obtained using gauge ensemble
We determine masses and decay constants of heavy-heavy and heavy-charm pseudoscalar mesons as a function of heavy quark mass using a fully relativistic formalism known as Highly Improved Staggered Quarks for the heavy quark. We are able to cover the
We present results on the pseudoscalar meson masses from a fully dynamical simulation of QCD+QED. We concentrate particularly on violations of isospin symmetry. We calculate the $pi^+$-$pi^0$ splitting and also look at other isospin violating mass di
In a previous letter (arXiv:1306.2287) we determined the isospin mass splittings of the baryon octet from a lattice calculation based on quenched QED and $N_f{=}2{+}1$ QCD simulations with 5 lattice spacings down to $0.054~mathrm{fm}$, lattice sizes