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Lattice QCD matrix elements for theBs0−B‾s0width difference beyond leading order
Physical Review Letters ( IF 8.1 ) Pub Date : 
Christine T. H. Davies, Judd Harrison, G. Peter Lepage, Christopher J. Monahan, Junko Shigemitsu, and Matthew Wingate

Predicting the Bs0Bs0 width difference ΔΓs relies on the heavy quark expansion and on hadronic matrix elements of ΔB=2 operators. We present the first lattice QCD results for matrix elements of the dimension-7 operators R2,3 and linear combinations R̃2,3 using nonrelativistic QCD for the bottom quark and a highly improved staggered quark (HISQ) action for the strange quark. Computations use MILC ensembles of gauge field configuations with 2+1+1 flavors of sea quarks with the HISQ discretization, including lattices with physically light up/down quark masses. We discuss features unique to calculating matrix elements of these operators and analyze uncertainties from series truncation, discretization, and quark mass dependence. Finally we report the first Standard Model determination of ΔΓs using lattice QCD results for all hadronic matrix elements through 𝒪(1/mb). The main result of our calculations yields the 1/mb contribution ΔΓ1/mb=0.022(10)ps1. Adding this to the leading order contribution, the Standard Model prediction is ΔΓs=0.092(14)ps1.

中文翻译:

Bs0-B‾s0的宽度差超出前导阶的格子QCD矩阵元素

预测 s0-s0 宽度差 ΔΓs 依靠重夸克展开和强子矩阵元素 Δ=2操作员。我们展示了7维算子的矩阵元素的第一个晶格QCD结果[R23 和线性组合 [R̃23对底部夸克使用非相对论性QCD,对奇异夸克使用高度改进的交错夸克(HISQ)动作。计算使用仪表场配置的MILC集成2+1个+1个带有HISQ离散化的海夸克口味,包括具有物理上点亮/滑下夸克质量的晶格。我们讨论了计算这些算子的矩阵元素所特有的功能,并分析了因序列截断,离散化和夸克质量依赖性而引起的不确定性。最后,我们报告第一个标准模型确定ΔΓs 通过所有强子矩阵元素使用晶格QCD结果 𝒪1个/b。我们计算的主要结果是1个/b 贡献 ΔΓ1个/b=-0.02210ps-1个。将其添加到领先订单中,标准模型预测为ΔΓs=0.09214ps-1个
更新日期:2020-01-26
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