arXivDaily arXiv每日学术速递 周一至周五更新
北美退伍军人节(Veterans Day),12 日无更新
arXiv 2404.08591hep-ph
收藏

关于缪子反常磁矩的领头阶强子真空极化贡献的QCD界限

QCD bounds on leading-order hadronic vacuum polarization contributions to the muon anomalous magnetic moment

Siyuan Li, T. G. Steele, J. Ho, R. Raza, K. Williams, R. T. Kleiv

AI总结:

本文利用有限能量QCD求和规则结合Hölder不等式,给出缪子反常磁矩领头阶强子真空极化贡献的模型无关界限,结果衔接了格点QCD与数据驱动方法的数值区间。

摘要:

通过将Hölder不等式及相关不等式约束施加于有限能量QCD求和规则系统,确定了缪子反常磁矩($a_μ^{\mathrm{HVP,LO}}$,$a_μ=\left(g-2\right)_μ/2$)的领头阶(LO)强子真空极化(HVP)贡献的QCD界限。这一新方法与格点QCD和数据驱动方法在确定$a_μ^{\mathrm{HVP,LO}}$方面互为补充。对于轻夸克($u,d,s$)贡献,在手征极限下微扰论计算至五圈阶、轻夸克质量修正的LO、四维QCD凝聚的次领头阶以及六维QCD凝聚的LO,我们发现$\left(657.0\pm 34.8\right)\times 10^{-10}\leq a_μ^{\mathrm{HVP,LO}} \leq \left(788.4\pm 41.8\right)\times10^{-10}$,从而在格点QCD值与数据驱动值之间架起了桥梁。

英文摘要:

QCD bounds on the leading-order (LO) hadronic vacuum polarization (HVP) contribution to the anomalous magnetic moment of the muon ($a_μ^{\mathrm{HVP,LO}}$, $a_μ=\left(g-2\right)_μ/2$) are determined by imposing Hölder inequalities and related inequality constraints on systems of Finite-Energy QCD sum-rules. This novel methodology is complementary to lattice QCD and data-driven approaches to determining $a_μ^{\mathrm{HVP,LO}}$. For the light-quark ($u,d,s$) contributions up to five-loop order in perturbation theory in the chiral limit, LO in light-quark mass corrections, next-to-leading order in dimension-four QCD condensates, and to LO in dimension-six QCD condensates, we find that $\left(657.0\pm 34.8\right)\times 10^{-10}\leq a_μ^{\mathrm{HVP,LO}} \leq \left(788.4\pm 41.8\right)\times10^{-10}\,$, bridging the range between lattice QCD and data-driven values.

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。

↑