English

Masses and electric charges: gauge anomalies and anomalous thresholds

High Energy Physics - Theory 2020-10-28 v3 High Energy Physics - Phenomenology

Abstract

We work out in the forward limit and up to order e6e^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.

Keywords

Cite

@article{arxiv.1903.01311,
  title  = {Masses and electric charges: gauge anomalies and anomalous thresholds},
  author = {Cesar Gomez and Raoul Letschka},
  journal= {arXiv preprint arXiv:1903.01311},
  year   = {2020}
}

Comments

22 pages