Anomalous Fermion Mass Generation at Three Loops

Abstract

We present a novel mechanism for generating gauge-invariant fermion masses through global anomalies at the three loop level. In a gauge theory, global anomalies are triggered by the possible existence of scalar or pseudoscalar states and heavy fermions, whose masses may not necessarily result from spontaneous symmetry breaking. The implications of this mass-generating mechanism for model building are discussed, including the possibility of creating low-scale fermion masses by quantum gravity effects.

12 pages, 2 axodraw figures, to appear in MPLA

References in corpus (2)

• Opening a new window for warm dark matter
• Anomalous Majorana Neutrino Masses from Torsionful Quantum Gravity

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• Light neutrino masses from a non-Hermitian Yukawa theory
• Non-Hermitian Lagrangian for quasi-relativistic fermions