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Masses and electric charges: gauge anomalies and anomalous thresholds
The European Physical Journal C ( IF 4.4 ) Pub Date : 2020-10-13 , DOI: 10.1140/epjc/s10052-020-08478-7
César Gómez , Raoul Letschka

We work out in the forward limit and up to order \(e^6\) in perturbation theory the collinear divergences. In this kinematical regime we discover new collinear divergences that we argue can be only cancelled using quantum interference with processes contributing to the gauge anomaly. This rules out the possibility of a quantum consistent and anomaly free theory with massless charges and long range interactions. We use the anomalous threshold singularities to derive a gravitational lower bound on the mass of the lightest charged fermion.



中文翻译:

质量和电荷:衡量异常和异常阈值

我们在前向极限中求和,直到摄动理论中的\(e ^ 6 \)共线散度。在这种运动学机制中,我们发现了新的共线发散,我们认为只有通过量子干涉才能消除能导致轨距异常的过程,才能消除这种共线发散。这排除了具有无质量电荷和长距离相互作用的量子一致和无异常理论的可能性。我们使用异常阈值奇点来得出最轻带电费米子质量的引力下界。

更新日期:2020-10-14
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