Quark condensate seesaw mechanism for neutrino mass

TL;DR

This paper introduces the Quark Condensate SeeSaw (QCSS), a novel mechanism linking quark condensates to neutrino mass generation through spontaneous chiral symmetry breaking and lepton-number violating operators, predicting normal mass ordering.

Contribution

It proposes a new seesaw mechanism involving quark condensates and LNV operators, providing a unique explanation for small neutrino masses and specific mass ordering predictions.

Findings

Predicts normal neutrino mass hierarchy

Narrow neutrino mass ranges consistent with observations

Links quark condensates to neutrino mass generation

Abstract

We study a mechanism of generation of Majorana neutrino mass due to spontaneous breaking of chiral symmetry (SBCS) accompanied by the formation of a quark condensate. The effect of the condensate is transmitted to the neutrino sector via Lepton-Number Violating (LNV) lepton-quark dimension-$7$ operators known in the literature as an origin of the neutrino-mass-independent mechanism of neutrinoless double-beta ($0 \nu \beta \beta$) decay. The smallness of neutrino masses is due to a large ratio between the LNV scale and the scale of the SBCS. This is a new realization of the seesaw mechanism, which we dub the Quark Condensate SeeSaw (QCSS). We examine the predictions of the QCSS for $0 \nu \beta \beta$-decay and neutrino mass spectrum. We will show that our model predicts the normal neutrino mass ordering and narrow ranges of the neutrino masses.