On Lepton and Baryon Numbers as Local Gauge Symmetries

Abstract

A simple theory where the total lepton number is a local gauge symmetry is proposed. In this context, the gauge anomalies are cancelled with the minimal number of extra fermionic fields and one predicts that the neutrinos are Majorana fermions. The properties of the neutrino sector are discussed showing that this theory predicts a $3+2$ light neutrino sector. We show that using the same fermionic fields one can gauge the baryon number and define a simple theory where the lepton and baryon numbers can be spontaneously broken at the low scale in agreement with experiments.

arXiv commentv2: a few corrections, extra discussion, conclusions unchanged, version to appear in Physical Review D

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Cited by in corpus (5)

• Dark Matter from Anomaly Cancellation at the LHC
• Local Baryon Number at the LHC
• On Gauge Theories of Neutrino Masses and Dark Matter
• Gamma Lines and Dark Matter from Anomaly Cancellation
• Lepton Flavor Violation and Local Lepton Number