论文标题

MUON $ G-2 $异常和非本地性

Muon $g-2$ anomaly and non-locality

论文作者

Capolupo, Antonio, Lambiase, Gaetano, Quaranta, Aniello

论文摘要

我们表明,可以在非本地理论的框架中解释哑光异常的观察值与标准模型预测之间的差异。我们计算出领先顺序,并在针对异常的磁矩$α_{nl} $的领先顺序非局部校正旁边,我们发现它取决于非局部性尺度$ M_F $,而Fermion Mass $ m_f $ as $α__{nl} {nl} \ propto m_f propto m_f^2/m_f^2/m_f^2/m_f^2 $。这种异常磁动量的这种依赖性允许以风味盲的非局部性量表来解释为什么观察到的电子的异常磁矩更接近标准模型预测,并允许预测$τ$粒子应该存在的大型异常。我们还确定了非局部尺度上的下限,对于风味盲和依赖风味的场景。

We show that the discrepancy between the observed value of the muon anomalous moment and the standard model prediction can be explained in the framework of nonlocal theories. We compute the leading order and next to leading order nonlocal correction to the anomalous magnetic moment $α_{NL}$ and we find that it depends on the nonlocality scale $M_f$ and the fermion mass $m_f$ as $α_{NL} \propto m_f^2/M_f^2$. Such a dependence of the anomalous magnetic momentum allows to explain, in a flavor-blind nonlocality scale, why the observed anomalous magnetic moment of the electron is much closer to the standard model prediction, and permits to predict a large anomaly that should exist for the $τ$ particle. We also determine the lower bounds on the nonlocality scale, for both flavor-blind and flavor-dependent scenarios.

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