Neutrino-antineutrino Mass Splitting in the Standard Model: Neutrino Oscillation and Baryogenesis

TL;DR

This paper proposes a non-local extension to the Standard Model that can generate neutrino-antineutrino mass splitting and baryon asymmetry, consistent with experimental bounds, by evading the CPT theorem.

Contribution

It introduces a Lorentz-invariant, non-local neutrino mass term that explains neutrino oscillations and baryogenesis without conflicting with existing experimental constraints.

Findings

Neutrino-antineutrino mass splitting of observed order generated

Electron-positron mass splitting estimated at ~10^{-20} eV, below experimental bounds

CPT violation effects in K-mesons are negligible and within limits

Abstract

By adding a neutrino mass term to the Standard Model, which is Lorentz and $SU(2)\times U(1)$ invariant but non-local to evade $CPT$ theorem, it is shown that non-locality within a distance scale of the Planck length, that may not be fatal to unitarity in generic effective theory, can generate the neutrino-antineutrino mass splitting of the order of observed neutrino mass differences, which is tested in oscillation experiments, and non-negligible baryon asymmetry depending on the estimate of sphaleron dynamics. The one-loop order induced electron-positron mass splitting in the Standard Model is shown to be finite and estimated at $\sim 10^{-20}$ eV, well below the experimental bound $< 10^{-2}$ eV. The induced $CPT$ violation in the $K$-meson in the Standard Model is expected to be even smaller and well below the experimental bound $|m_{K}-m_{\bar{K}}|<0.44\times 10^{-18}$ GeV.