Neutrino Lorentz invariance violation from the CPT-even SME coefficients through a tensor interaction with cosmological scalar fields

TL;DR

This paper investigates how tensor interactions between neutrinos and scalar fields could lead to Lorentz invariance violation, analyzing sensitivities of neutrino experiments like DUNE and IceCube to these effects.

Contribution

It introduces a novel tensorial neutrino interaction framework related to CPT-even SME coefficients and evaluates experimental sensitivities to these interactions.

Findings

DUNE can potentially detect CPT-even SME coefficient effects.

IceCube and future neutrino experiments may clarify these non-standard interactions.

Projected sensitivities suggest new physics could be observed in upcoming experiments.

Abstract

Numerous non-standard interactions between neutrinos and scalar fields have been suggested in the literature. In this work, we have outlined the case of tensorial neutrino non-standard interactions with scalar fields, which can be related to the effective CPT-even dimension-4 operators of the Standard Model Extension (SME). Moreover, in this paper, we have mostly analyzed the projected sensitivities to the CPT-even isotropic $c_{\alpha \beta}$ and $Z-$spatial $c_{\alpha \beta}^{ZZ}$ SME coefficients, in the context of a long-baseline experimental configuration. We study the particular case of DUNE and show its sensitivity to this type of new physics. The current IceCube experiment and upcoming neutrino experiments such as KM3NeT, IceCube-Gen2, and GRAND proposals may clarify these classes of neutrino non-standard interactions.