Generation of Neutrino mass in a Kalb-Ramond Background in large extra dimensions

TL;DR

This paper explores how a Kalb-Ramond field in higher-dimensional spacetime can induce a mass for left-handed neutrinos through spacetime torsion, with potential implications for neutrino physics.

Contribution

It demonstrates a mechanism where spacetime torsion from a Kalb-Ramond field generates neutrino mass after compactification in extra dimensions.

Findings

Neutrino mass can be generated via torsion in higher dimensions.

The mechanism relies on a string-inspired background with a Kalb-Ramond field.

Mass generation occurs after compactification of extra dimensions.

Abstract

In this paper we investigate whether spacetime torsion induced by a Kalb-Ramond field in a string inspired background can generate a mass for the left-handed neutrino. We consider an Einstein-Dirac-Kalb-Ramond lagrangian in higher dimensional spacetime with torsion generated by the Kalb-Ramond antisymmetric field in the presence of a bulk fermion. We show that such a coupling can generate a mass term for the four dimensional neutrino after a suitable large radius compactification of the extra dimensions.