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 $(widehatm_d - widehatm_u)/Lambda_QCD$ and $alpha_em$, where $widehatm_f$ is the renormalized quark mass and $alpha_em$ the renormalized fine structure constant. We obtain results for the pion, kaon and $D$-meson mass splitting; for the Dashen's theorem violation parameters $epsilon_gamma(overlinemathrmMS, 2~mboxGeV)$, $epsilon_pi^0$, $epsilon_K^0(overlinemathrmMS, 2~mboxGeV)$; for the light quark masses $(widehatm_d - widehatm_u)(overlinemathrmMS, 2~mboxGeV)$, $(widehatm_u / widehatm_d)(overlinemathrmMS, 2~mboxGeV)$; for the flavour symmetry breaking parameters $R(overlinemathrmMS, 2~mboxGeV)$ and $Q(overlinemathrmMS, 2~mboxGeV)$ and for the strong IB effects on the kaon decay constants.
Leading isospin-breaking corrections to meson masses on the lattice / Giusti, D.; Lubicz, V.; Martinelli, G.; Sanfilippo, F.; Simula, S.; Tantalo, N.; Tarantino, C.. - In: EPJ WEB OF CONFERENCES. - ISSN 2100-014X. - 175:(2018), p. 06002. (Intervento presentato al convegno 35th International Symposium on Lattice Field Theory, Lattice 2017 tenutosi a Exhibition and Conference Centre in Granada, esp) [10.1051/epjconf/201817506002].
Leading isospin-breaking corrections to meson masses on the lattice
Martinelli G.;
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 $(widehatm_d - widehatm_u)/Lambda_QCD$ and $alpha_em$, where $widehatm_f$ is the renormalized quark mass and $alpha_em$ the renormalized fine structure constant. We obtain results for the pion, kaon and $D$-meson mass splitting; for the Dashen's theorem violation parameters $epsilon_gamma(overlinemathrmMS, 2~mboxGeV)$, $epsilon_pi^0$, $epsilon_K^0(overlinemathrmMS, 2~mboxGeV)$; for the light quark masses $(widehatm_d - widehatm_u)(overlinemathrmMS, 2~mboxGeV)$, $(widehatm_u / widehatm_d)(overlinemathrmMS, 2~mboxGeV)$; for the flavour symmetry breaking parameters $R(overlinemathrmMS, 2~mboxGeV)$ and $Q(overlinemathrmMS, 2~mboxGeV)$ and for the strong IB effects on the kaon decay constants.File | Dimensione | Formato | |
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