https://doi.org/10.1051/epjconf/201817506002
Leading isospin-breaking corrections to meson masses on the lattice
1
Dipartimento di Matematica e Fisica, Università degli Studi Roma Tre, Via della Vasca Navale 84, I-00146 Rome, Italy
2
Istituto Nazionale di Fisica Nucleare, Sezione di Roma Tre, Via della Vasca Navale 84, I-00146 Rome, Italy
3
Dipartimento di Fisica and INFN, Università degli Studi di Roma "La Sapienza", Piazzale Aldo Moro 5, I-00185 Rome, Italy
4
Dipartimento di Fisica and INFN, Università degli Studi di Roma "Tor Vergata", Via della Ricerca Scientifica 1, I-00133 Rome, Italy
* Speaker, e-mail: davide.giusti@uniroma3.it
Published online: 26 March 2018
We present a study of the isospin-breaking (IB) corrections to pseudoscalar (PS) meson masses using the gauge configurations produced by the ETM Collaboration with Nf = 2+1+1 dynamical quarks at three lattice spacings varying from 0.089 to 0.062 fm. Our method is based on a combined expansion of the path integral in powers of the small parameters 
and αem, where 
is the renormalized quark mass and αem the renormalized fine structure constant. We obtain results for the pion, kaon and Dmeson mass splitting; for the Dashen’s theorem violation parameters ϵγ(MM, 2 GeV), ϵπ0 ϵK0(MS, 2 GeV) for the light quark masses 
for the flavour symmetry breaking parameters R(MS, 2 GeV) and Q(MS, 2 GeV) and for the strong IB effects on the kaon decay constants.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
