Leading isospin-breaking corrections to meson masses on the lattice

Davide Giusti; Vittorio Lubicz; Guido Martinelli; Francesco Sanfilippo; Silvano Simula; Nazario Tantalo; Cecilia Tarantino

doi:10.1051/epjconf/201817506002

Proceedings

Open Access

EPJ Web of Conferences 175, 06002 (2018)
https://doi.org/10.1051/epjconf/201817506002

Leading isospin-breaking corrections to meson masses on the lattice

Davide Giusti¹^,2^*, Vittorio Lubicz¹^,2, Guido Martinelli³, Francesco Sanfilippo², Silvano Simula², Nazario Tantalo⁴ and Cecilia Tarantino¹^,2

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

Abstract

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 N_f = 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 α_em, where is the renormalized quark mass and α_em the renormalized fine structure constant. We obtain results for the pion, kaon and Dmeson mass splitting; for the Dashen’s theorem violation parameters ϵ_γ(MM, 2 GeV), ϵ_π⁰ ϵ_K⁰(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

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