Stodolsky effect in the framework of Generalised Neutrino Interactions

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$ν$B) by analysing the energy shifts that are characteristic of the Stodolsky effect. We also discuss the implication of considerable asymmetry in the C$ν$B on the present scenario.

Figures (4)

• Figure 1: The dependence of the energy splitting is shown with respect to the various tensor parameters in the standard Dirac scenario Eq. (\ref{['AbD']}) of relic neutrino abundances. In our numerical calculations we have taken $\beta_{\oplus}\simeq 10^{-3}$ which is the case if relic neutrinos are unclustered for which the C$\nu$B frame coincides with CMB FirstCMBLucaAmendola_2011. We use the constraints in Amir_Rode, derived only for the diagonal terms and explore the allowed parameter space.
• Figure 2: The dependence of the energy splitting is shown with respect to the various off-diagonal tensor parameters $\epsilon^T_{e\tau}, \epsilon^T_{e\mu}$ and $\epsilon^T_{\mu\tau}$. All the parameters are assumed to be real. We use the constraints in Escrihuela:2021mud, derived for the off-diagonal terms and explore the allowed parameter space.
• Figure 3: The dependence of the Dirac energy splitting is shown with respect to the various NSI and tensor parameter ranges Amir_Rode. For our calculation we set $\eta_\nu = 0.01$ and assume that there is an excess of anti-neutrinos over neutrinos. The non-zero Standard Model contribution is of the order of $10^{-38}$ eV.
• Figure 4: The dependence of the Majorana energy splitting is shown with respect to the contributing NSI parameters Amir_Rode. This phenomenon is absent in the case of standard decoupling neutrino abundances. The non-zero Standard Model contribution is of the order of $10^{-38}$ eV.