Non-minimal Lorentz invariance violation in light of muon anomalous magnetic moment and long-baseline neutrino oscillation data

TL;DR

This paper investigates how non-minimal Lorentz invariance violation could explain tensions in neutrino oscillation data and the muon g-2 anomaly, suggesting a potential new physics framework that addresses multiple experimental discrepancies.

Contribution

It introduces a model with non-minimal Lorentz invariance violation that simultaneously alleviates neutrino oscillation tensions and reproduces the muon g-2 anomaly.

Findings

Isotropic violation in dimensions 4, 5, 6 reduces neutrino oscillation tension by up to 2.4σ.

Best fit isotropic coefficient is γ^{(5)}_{ττ} = 3.58×10^{-32} GeV^{-1}.

Non-isotropic violation d^{zt} = -1.7×10^{-25} explains muon g-2 anomaly.

Abstract

In light of the increasing hints of new physics at the muon $g-2$ and neutrino oscillation experiments, we consider the recently observed tension in the long-baseline neutrino oscillation experiments as a potential indication of Lorentz invariance violation. For this purpose, the latest data from T2K and NO$\nu$A is analysed in presence of non-minimal Lorentz invariance violation. Indeed, we find that isotropic violation in dimensions $D =$ 4, 5 and 6 can alleviate the tension in neutrino oscillation data by 0.4$-$2.4$\sigma$ CL significance, with the isotropic coefficient $\gamma^{(5)}_{\tau \tau} =$ 3.58$\times$10$^{-32}$GeV$^{-1}$ yielding the best fit. At the same time, the anomalous muon $g-2$ result can be reproduced with an additional non-isotropic violation of $d^{zt} =$ -1.7$\times$10$^{-25}$. The analysis highlights the possibility of simultaneous relaxation of experimental tensions with Lorentz invariance violation of mixed nature.