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arXiv 1707.04529hep-lathep-ph
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N_f = 2 + 1 + 1扭曲质量费米子的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 with Nf = 2 + 1 + 1 twisted mass fermions

V. Lubicz, A. Melis, S. Simula

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16 pages, 6 figures, 3 tables
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摘要：

我们提出了一个格子计算的质量和衰变常数的$D_{(s)}^*$和$B_{(s)}^*$介子使用规范配置产生的欧洲扭曲质量合作组织（ETMC）与$N_f = 2 + 1 + 1$动力学夸克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$M_π\simeq (210 - 450)$ MeV的模拟，而奇怪的魅力海夸克的质量接近其物理值。我们计算了重夸克质量$m_h$在$0.7 m_c^{\mathrm{phys}} \lesssim m_h \lesssim 3 m_c^{\mathrm{phys}}$范围内的矢量质量与赝标质量的比值和衰变常数。为了达到物理b夸克质量，我们利用重夸克有效理论预测，在无限重夸克质量的静态极限，所考虑的比率等于1。在物理意义上，我们的结果是：$M_{D^*} / M_{D} = 1.0769(79)$，$M_{D^*_{s}} / M_{D_{s}} = 1.0751(56)$，$ f_{D^*} / f_{D} = 1.078(36),$，$f_{D^*_{s}} / f_{D_{s}} = 1.087(20)$，$M_{B^*} / M_{B} = 1.0078(15)$，$M_{B^*_{s}} / M_{B_{s}} = 1.0083(10)$，$f_{B^*} / f_{B} = 0.958(22)$和$f_{B^*_{s}} / f_{B_{s}} = 0.974(10)$。将它们与赝标介子质量的实验值（作为确定夸克质量的输入）和ETMC计算的赝标衰变常数的值相结合，得到：$M_{D^*} = 2013(14)~\mathrm{MeV}$，$ M_{D_s^*} = 2116(11)~\mathrm{MeV}$，$f_{D^*} = 223.5(8.4)~\mathrm{MeV}$，$f_{D_s^*} = 268.8(6.6)~\mathrm{MeV}$，$M_{B^*} = 5320.5(7.6)~\mathrm{MeV}$，$M_{B_s^*} = 5411.36(5.3)~\mathrm{MeV}$，$f_{B^*} = 185.9(7.2)~\mathrm{MeV}$和$f_{B_s^*} = 223.1(5.4)~\mathrm{MeV}$ .

英文摘要：

We present a lattice calculation of the masses and decay constants 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 at three values of the lattice spacing $a \sim (0.06 - 0.09)$ fm. Pion masses are simulated in the range $M_π\simeq (210 - 450)$ MeV, while the strange and charm sea-quark masses are close to their physical values. We compute the ratios of vector to pseudoscalar masses and decay constants for various values of the heavy-quark mass $m_h$ in the range $0.7 m_c^{\mathrm{phys}} \lesssim m_h \lesssim 3 m_c^{\mathrm{phys}}$. In order to reach the physical b-quark mass, we exploit the Heavy Quark Effective Theory prediction that, in the static limit of infinite heavy-quark mass, the considered ratios are equal to one. At the physical point our results are: $M_{D^*} / M_{D} = 1.0769(79)$, $M_{D^*_{s}} / M_{D_{s}} = 1.0751(56)$, $ f_{D^*} / f_{D} = 1.078(36),$ $f_{D^*_{s}} / f_{D_{s}} = 1.087(20)$, $M_{B^*} / M_{B} = 1.0078(15)$, $M_{B^*_{s}} / M_{B_{s}} = 1.0083(10)$, $f_{B^*} / f_{B} = 0.958(22)$ and $f_{B^*_{s}} / f_{B_{s}} = 0.974(10)$. Combining them with the experimental values of the pseudoscalar meson masses (used as input to fix the quark masses) and the values of the pseudoscalar decay constants calculated by ETMC, we get: $M_{D^*} = 2013(14)~\mathrm{MeV}$, $ M_{D_s^*} = 2116(11)~\mathrm{MeV}$, $f_{D^*} = 223.5(8.4)~\mathrm{MeV}$, $f_{D_s^*} = 268.8(6.6)~\mathrm{MeV}$, $M_{B^*} = 5320.5(7.6)~\mathrm{MeV}$, $M_{B_s^*} = 5411.36(5.3)~\mathrm{MeV}$, $f_{B^*} = 185.9(7.2)~\mathrm{MeV}$ and $f_{B_s^*} = 223.1(5.4)~\mathrm{MeV}$.

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