论文标题

Møller散射在NNLO的耐药作用

Hadronic effects in Møller scattering at NNLO

论文作者

Erler, Jens, Ferro-Hernández, Rodolfo, Freitas, Ayres

论文摘要

在低能量下的两个不同方案中研究了对极化moller散射的两环电动校正。我们发现有限的$ q^2 $更正可以很好地控制。对$γz$两点功能的耐摄动和扰动QCD校正是通过低能的弱混合角度纳入的,这在电子$ q^e_w $的弱电荷中引入了$ 0.08 \ times10^{ - 3} $的误差。此外,通过研究方案依赖性,我们获得了当前扰动电动不确定性的估计值,$Δq^e_w \ oft0.23 \ times10^{ - 3} $,其比moller实验$(Δq_W^e = 1.11 = 1.11 = 1.1^times10^^33}的精确度估计的精度小五倍。未来的工作是进一步减少理论错误的可能性。

Two-loop electroweak corrections to polarized Moller scattering are studied in two different schemes at low energies. We find the finite $Q^2$ corrections to be well under control. The hadronic and perturbative QCD corrections to the $γZ$ two-point function are incorporated through the weak mixing angle at low energies, which introduce an error of $0.08\times10^{-3}$ in the weak charge of the electron $Q^e_W$. Furthermore, by studying the scheme dependence, we obtain an estimate of the current perturbative electroweak uncertainty, $δQ^e_W\approx0.23\times10^{-3}$, which is five times smaller than the precision estimated for the MOLLER experiment $(δQ_W^e=1.1\times10^{-3})$. Future work is possible to reduce the theory error further.

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