Stodolsky effect in the framework of Generalised Neutrino Interactions

TL;DR

This paper explores the Stodolsky effect within a comprehensive framework of neutrino-electron interactions, highlighting the roles of non-standard and tensor interactions in potential cosmic neutrino background detection.

Contribution

It extends the analysis of the Stodolsky effect to the most general Lorentz-invariant neutrino interactions, including Dirac and Majorana cases, identifying key interaction terms that contribute.

Findings

Non-standard neutrino interactions and tensor terms contribute to the Stodolsky effect.

Implications for detecting the cosmic neutrino background are discussed.

Asymmetry in the CνB affects the energy shifts related to the effect.

Abstract

We study the Stodolsky effect utilizing the most general form of neutrino interactions with electrons below the electroweak scale by considering all possible Lorentz invariant operators respecting SU(3)$\otimes$U(1) symmetry. We perform our calculation for both Dirac and Majorana neutrinos and find that in the most general setting, only the non-standard neutrino interactions and the tensor interaction terms provide a non-zero contribution, apart from the Standard Model contribution. We investigate the implications for the possible detection of the cosmic neutrino background (C$\nu$B) by analysing the energy shifts that are characteristic of the Stodolsky effect. We also discuss the implication of considerable asymmetry in the C$\nu$B on the present scenario.