arXiv 2204.012802022-04hep-lathep-ph

具有重叠价费米子的μ介子g-2

Muon g-2 with overlap valence fermions

Gen Wang, Terrence Draper, Keh-Fei Liu, Yi-Bo Yang

备注：: matched to the version accepted by PRD
DOI：: 10.1103/PhysRevD.107.034513

摘要：

本文用格点方法计算了连接轻夸克和奇夸克的首阶强子真空极化对μ子反常磁矩的贡献，在广泛使用的$t_0=0.4~\mathrm{fm}$、$t_1=1.0~\mathrm{fm}$、$Δ=0.15~\mathrm{fm}$窗口中的$a^{\rm W}_{{\rm con}, l/s}$，以及在短距离区域中的$a^{\rm S}_{{\rm con}, l/s}$.我们在4个物理点系综上使用重叠费米子。两个2+1味RBC/UKQCD系综在$a = 0.084$和0.114 fm处使用畴壁费米子（HISQ）和Iwasaki规范作用量，两个2+1+1味MILC系综在$a = 0.088$和0.121 fm处使用高度改进的交错夸克（HISQ）和Symanzik规范作用量。我们已经纳入了无限体积的修正，从3个额外的pmathabmt = 4.8，6.4和9.6 fm和物理π介子质量。对于$a^{\rm W}_{{\rm con}, l}$，我们发现，我们的结果在两个较小的晶格间距是一致的，使用幺正设置，但在两个较粗的晶格间距略有不同。最后，我们预测$a^{\rm W}_{{\rm con}, l}=206.7(1.5)(1.0)$和$a^{\rm W}_{{\rm con}, s}=26.8(0.1)(0.3)$，在$a^2$中使用线性外推，从RBC/UKQCD和MILC合奏的中心值的差异估计系统的不确定性。

英文摘要：

We present a lattice calculation of the leading order (LO) hadronic vacuum polarization (HVP) contribution to the muon anomalous magnetic moment for the connected light and strange quarks, $a^{\rm W}_{{\rm con}, l/s}$ in the widely used window $t_0=0.4~\mathrm{fm}$, $t_1=1.0~\mathrm{fm}$, $Δ=0.15~\mathrm{fm}$, and also of $a^{\rm S}_{{\rm con}, l/s}$ in the short distance region. We use overlap fermions on 4 physical-point ensembles. Two 2+1 flavor RBC/UKQCD ensembles use domain wall fermions (DWF) and Iwasaki gauge actions at $a = 0.084$ and 0.114 fm, and two 2+1+1 flavor MILC ensembles use the highly improved staggered quark (HISQ) and Symanzik gauge actions at $a = 0.088$ and 0.121 fm. We have incorporated infinite volume corrections from 3 additional DWF ensembles at ${\rm L}$ = 4.8, 6.4 and 9.6 fm and physical pion mass. For $a^{\rm W}_{{\rm con}, l}$, we find that our results on the two smaller lattice spacings are consistent with those using the unitary setup, but those at the two coarser lattice spacings are slightly different. Eventually, we predict $a^{\rm W}_{{\rm con}, l}=206.7(1.5)(1.0)$ and $a^{\rm W}_{{\rm con}, s}=26.8(0.1)(0.3)$, using linear extrapolation in $a^2$, with systematic uncertainties estimated from the difference of the central values from the RBC/UKQCD and MILC ensembles.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

摘要：

英文摘要：

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