Leading isospin-breaking corrections to meson masses on the lattice

Leading isospin-breaking corrections to meson masses on the lattice
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对晶格上介子质量的领先同位旋破坏修正

DOI:
10.1051/epjconf/201817506002
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发表时间:
2017
期刊:
arXiv: High Energy Physics - Lattice
影响因子:
--
通讯作者:
C. Tarantino
C. Tarantino
中科院分区:
--
文献类型:
--
作者:
D. Giusti;V. Lubicz;G. Martinelli;F. Sanfilippo;S. Simula;N. Tantalo;C. Tarantino

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本文研究了在0.089 ~ 0.062 fm的三个晶格间距上,利用$N_f=2+1+1$动力学夸克在ETM协作中产生的规范组态对伪标量介子质量的同位旋破缺(IB)修正。我们的方法是基于小参数$(\widehat{m}_d - \widehat{m}_u)/\Lambda_{QCD}$和$\alpha_{em}$幂的路径积分的组合展开,其中$\widehat{m}_f$是重归一化的夸克质量,$\alpha_{em}$是重归一化的精细结构常数。我们得到了介子、介子和$D$介子质量分裂的结果;为达申定理违反参数$\epsilon_\gamma(\overline{\mathrm{MS}}, 2~\mbox{GeV})$, $\epsilon_{\pi^0}$, $\epsilon_{K^0}(\overline{\mathrm{MS}}, 2~\mbox{GeV})$;对于轻夸克质量$(\widehat{m}_d - \widehat{m}_u)(\overline{\mathrm{MS}}, 2~\mbox{GeV})$, $(\widehat{m}_u / \widehat{m}_d)(\overline{\mathrm{MS}}, 2~\mbox{GeV})$;风味对称性破缺参数$R(\overline{\mathrm{MS}}, 2~\mbox{GeV})$和$Q(\overline{\mathrm{MS}}, 2~\mbox{GeV})$以及强IB对k介子衰变常数的影响。
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 $(\widehat{m}_d - \widehat{m}_u)/\Lambda_{QCD}$ and $\alpha_{em}$, where $\widehat{m}_f$ 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 $\epsilon_\gamma(\overline{\mathrm{MS}}, 2~\mbox{GeV})$, $\epsilon_{\pi^0}$, $\epsilon_{K^0}(\overline{\mathrm{MS}}, 2~\mbox{GeV})$; for the light quark masses $(\widehat{m}_d - \widehat{m}_u)(\overline{\mathrm{MS}}, 2~\mbox{GeV})$, $(\widehat{m}_u / \widehat{m}_d)(\overline{\mathrm{MS}}, 2~\mbox{GeV})$; for the flavour symmetry breaking parameters $R(\overline{\mathrm{MS}}, 2~\mbox{GeV})$ and $Q(\overline{\mathrm{MS}}, 2~\mbox{GeV})$ and for the strong IB effects on the kaon decay constants.
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.
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