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arXiv 2101.09169hep-ph
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(g-2)$_μ$ HLbL的近距离双圈微扰修正

The two-loop perturbative correction to the (g-2)$_μ$ HLbL at short distances

Johan Bijnens, Nils Hermansson-Truedsson, Laetitia Laub, Antonio Rodríguez-Sánchez

摘要:

最近用背景电磁场中的算子乘积展开研究了强子光-光(HLbL)对$(g-2)_μ$的贡献的短程行为。在这种膨胀中的主导项已被证明是由无质量的夸克圈,和非微扰的修正是非常抑制数值。本文计算了微扰QCD对无质量夸克圈的修正。与夸克圈相比,在我们研究的能量标度中,QCD耦合的微扰运行是明确的,即~用于秤$μ\gtrsim 1\, \mathrm{GeV}$。这应该可以减少与高多重强子态相关的大系统不确定性。

英文摘要:

The short-distance behaviour of the hadronic light-by-light (HLbL) contribution to $(g-2)_μ$ has recently been studied by means of an operator product expansion in a background electromagnetic field. The leading term in this expansion has been shown to be given by the massless quark loop, and the non-perturbative corrections are numerically very suppressed. Here, we calculate the perturbative QCD correction to the massless quark loop. The correction is found to be fairly small compared to the quark loop as far as we study energy scales where the perturbative running for the QCD coupling is well-defined, i.e.~for scales $μ\gtrsim 1\, \mathrm{GeV}$. This should allow to reduce the large systematic uncertainty associated to high-multiplicity hadronic states.

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。

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