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arXiv 1610.09671hep-lathep-ph
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含$N_f = 2 + 1 + 1$扭转质量费米子的格点量子色动力学中$D_{(s)}^*$和$B_{(s)}^*$介子的质量和衰变常数

Masses and decay constants of $D_{(s)}^*$ and $B_{(s)}^*$ mesons in Lattice QCD with $N_f = 2 + 1 + 1$ twisted-mass fermions

V. Lubicz, A. Melis, S. Simula

备注：
7 pages, 4 figures, in proceedings of 34th annual International Symposium on Lattice Field Theory, 24-30 July 2016, University of Southampton (UK). In version v2 the quality of the figures is improved
发表信息：
Phys. Rev. D 96, 034524 (2017)
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摘要：

我们提出了一个晶格计算的衰变常数和质量的$D_{(s)}^*$和$B_{(s)}^*$介子使用规范配置由欧洲扭曲质量合作组织（ETMC）与$N_f = 2 + 1 + 1$动力学夸克和在三个值的晶格间距$a \sim 0.06 - 0.09$ FM。π介子质量的范围内$m_π \sim 210 - 450$ MeV的模拟，而奇怪的和魅力夸克的质量接近其物理值。我们计算了重夸克质量$m_h$在$0.7 m_c^{phys} \lesssim m_h \lesssim 3 m_c^{phys}$范围内的不同值的矢量与赝标衰变常数或质量的比值。为了达到物理的b夸克质量，我们利用HQET预测，在无限重夸克质量的静态极限，所有考虑的比率都等于1。我们得到：$ f_{D^*}/f_{D} = 1.078(36),$ $m_{D^*}/m_{D} = 1.0769(79)$、$f_{D^*_{s}}/f_{D_{s}} = 1.087(20)$、$m_{D^*_{s}}m_{D_{s}} = 1.0751(56)$、$f_{B^*}/f_{B} = 0.958(22)$、$m_{B^*}/m_{B} = 1.0078(15)$、$f_{B^*_{s}}/f_{B_{s}} = 0.974(10)$和$m_{B^*_{s}}/m_{B_{s}} = 1.0083(10)$。结合PDG的实验质量和ETMC计算的赝标衰变常数，我们得到：$f_{D^*} = 223.5(8.4)~\mathrm{MeV}$，$m_{D^*} = 2013(14)~\mathrm{MeV}$，$f_{D^*_{s}} = 268.8(6.6)~\mathrm{MeV}$，$ m_{D^*_{s}} = 2116(11)~\mathrm{MeV}$，$f_{B^*} = 185.9(7.2)~\mathrm{MeV}$，$m_{B^*} = 5320.5(7.6)~\mathrm{MeV}$，$f_{B^*_{s}} = 223.1(5.4)~\mathrm{MeV}$和$m_{B^*_{s}}= 5411.36(5.3)~\mathrm{MeV}$ .

英文摘要：

We present a lattice calculation of the decay constants and masses of $D_{(s)}^*$ and $B_{(s)}^*$ mesons using the gauge configurations produced by the European Twisted Mass Collaboration (ETMC) with $N_f = 2 + 1 + 1$ dynamical quarks and at three values of the lattice spacing $a \sim 0.06 - 0.09$ fm. Pion masses are simulated in the range $m_π \sim 210 - 450$ MeV, while the strange and charm quark masses are close to their physical values. We computed the ratios of vector to pseudoscalar decay constants or masses for various values of the heavy-quark mass $m_h$ in the range $0.7 m_c^{phys} \lesssim m_h \lesssim 3 m_c^{phys}$. In order to reach the physical b-quark mass, we exploited the HQET prediction that, in the static limit of infinite heavy-quark mass, all the considered ratios are equal to one. We obtain: $ f_{D^*}/f_{D} = 1.078(36),$ $m_{D^*}/m_{D} = 1.0769(79)$, $f_{D^*_{s}}/f_{D_{s}} = 1.087(20)$, $m_{D^*_{s}}m_{D_{s}} = 1.0751(56)$, $f_{B^*}/f_{B} = 0.958(22)$, $m_{B^*}/m_{B} = 1.0078(15)$, $f_{B^*_{s}}/f_{B_{s}} = 0.974(10)$ and $m_{B^*_{s}}/m_{B_{s}} = 1.0083(10)$. Combining them with the corresponding experimental masses from the PDG and the pseudoscalar decay constants calculated by ETMC, we get: $f_{D^*} = 223.5(8.4)~\mathrm{MeV}$, $m_{D^*} = 2013(14)~\mathrm{MeV}$, $f_{D^*_{s}} = 268.8(6.6)~\mathrm{MeV}$, $ m_{D^*_{s}} = 2116(11)~\mathrm{MeV}$, $f_{B^*} = 185.9(7.2)~\mathrm{MeV}$, $m_{B^*} = 5320.5(7.6)~\mathrm{MeV}$, $f_{B^*_{s}} = 223.1(5.4)~\mathrm{MeV}$ and $m_{B^*_{s}}= 5411.36(5.3)~\mathrm{MeV}$.

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