Leading isospin-breaking corrections to pion, kaon and charmed-meson masses with Twisted-Mass fermions

Leading isospin-breaking corrections to pion, kaon and charmed-meson masses with Twisted-Mass fermions
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利用扭曲质量费米子对π介子、卡介子和粲介子质量进行领先的同位旋破坏修正

DOI:
10.1103/physrevd.95.114504
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发表时间:
2017
期刊:
影响因子:
5
通讯作者:
N. Tantalo
N. Tantalo
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
D. Giusti;V. Lubicz;C. Tarantino;G. Martinelli;F. Sanfilippo;S. Simula;N. Tantalo

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We present a lattice computation of the isospin-breaking corrections to pseudoscalar meson masses using the gauge configurations produced by the European Twisted Mass collaboration with $N_f = 2 + 1 + 1$ dynamical quarks at three values of the lattice spacing ($a \simeq 0.062, 0.082$ and $0.089$ fm) with pion masses in the range $M_\pi \simeq 210 - 450$ MeV. The strange and charm quark masses are tuned at their physical values. We adopt the RM123 method based on the combined expansion of the path integral in powers of the $d$- and $u$-quark mass difference ($\widehat{m}_d - \widehat{m}_u$) and of the electromagnetic coupling $\alpha_{em}$. Within the quenched QED approximation, which neglects the effects of the sea-quark charges, and after the extrapolations to the physical pion mass and to the continuum and infinite volume limits, we provide results for the pion, kaon and (for the first time) charmed-meson mass splittings, for the prescription-dependent parameters $\epsilon_{\pi^0}$, $\epsilon_\gamma(\overline{MS}, 2~\mbox{GeV})$, $\epsilon_{K^0}(\overline{MS}, 2~\mbox{GeV})$, related to the violations of the Dashen's theorem, and for the light quark mass difference $(\widehat{m}_d - \widehat{m}_u)(\overline{MS}, 2~\mbox{GeV})$.
We present a lattice computation of the isospin-breaking corrections to pseudoscalar meson masses using the gauge configurations produced by the European Twisted Mass collaboration with $N_f = 2 + 1 + 1$ dynamical quarks at three values of the lattice spacing ($a \simeq 0.062, 0.082$ and $0.089$ fm) with pion masses in the range $M_\pi \simeq 210 - 450$ MeV. The strange and charm quark masses are tuned at their physical values. We adopt the RM123 method based on the combined expansion of the path integral in powers of the $d$- and $u$-quark mass difference ($\widehat{m}_d - \widehat{m}_u$) and of the electromagnetic coupling $\alpha_{em}$. Within the quenched QED approximation, which neglects the effects of the sea-quark charges, and after the extrapolations to the physical pion mass and to the continuum and infinite volume limits, we provide results for the pion, kaon and (for the first time) charmed-meson mass splittings, for the prescription-dependent parameters $\epsilon_{\pi^0}$, $\epsilon_\gamma(\overline{MS}, 2~\mbox{GeV})$, $\epsilon_{K^0}(\overline{MS}, 2~\mbox{GeV})$, related to the violations of the Dashen's theorem, and for the light quark mass difference $(\widehat{m}_d - \widehat{m}_u)(\overline{MS}, 2~\mbox{GeV})$.
DOI: 10.1126/science.1257050
发表时间: 2015-03-27
期刊: SCIENCE
影响因子: 56.9
作者:
Borsanyi, Sz.;Durr, S.;Toth, B. C.
通讯作者: Toth, B. C.
DOI: 10.1007/jhep06(2010)111
发表时间: 2010-04
影响因子: 5.4
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R. Baron;P. Boucaud;Jaume Carbonell;A. Deuzeman;V. Drach;F. Farchioni;V. Giménez;G. Herdoiza
通讯作者: R. Baron;P. Boucaud;Jaume Carbonell;A. Deuzeman;V. Drach;F. Farchioni;V. Giménez;G. Herdoiza