Prospects for observing chiral symmetry breaking in lepton colliders

TL;DR

This paper explores the potential to observe chiral symmetry breaking in leptonic processes at colliders, linking neutrino mass effects to phase space reduction and proposing experimental tests at future linear colliders.

Contribution

It introduces a novel theoretical framework connecting neutrino mass, phase space reduction, and chiral symmetry breaking observable at colliders.

Findings

Neutrino mass influences phase space and symmetry properties.

Predicted reduction to single-handed particle states at TeV energies.

Testable implications for future linear leptonic colliders.

Abstract

Weak interactions in neutron $\beta$-decay exhibit parity violation through the preferential emission of right-handed antineutrinos. We identify this symmetry breaking with a reduction of phase space due to the small neutrino mass. During a brief interval of momentum exchange, a small mass neutrino puts the emission process close to the bifurcation horizon of Rindler space, doubly covered by Minkowski space ${\cal M}$ as dictated by the Equivalence Principle of general relativity. In the limit of arbitrarily small mass, this two-sheet covering effectively collapses into a single sheet, reducing the dimension of Dirac spinors from four to two, leaving neutrinos single-handed. This predicts a similar reduction to single-handed particle states in electrons created at TeV energies, which may be tested with the planned linear leptonic colliders. If confirmed, right-handed small mass neutrinos are expected to exist at sufficiently low energies.