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

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 NOνA 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 about 0.4-2.4σ CL significance, with the isotropic coefficient γ(5) τ τ = 3.58×10 −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 = -1.7×10 −25 . The analysis highlights the possibility of simultaneous relaxation of experimental tensions with Lorentz invariance violation of mixed nature.

Comprehensive study of LIV in atmospheric and long-baseline experiments

“…To the best of our knowledge, study of LIV in the context of T2HK has not been performed in the past 1 . Apart from T2HK, DUNE and ICAL, LIV has been studied in the context of Super-Kamiokande [14], IceCube [15,16], T2K and NOνA [17][18][19]. In this present work, we aim to perform a detailed study of LIV in the context of T2HK, DUNE and ICAL and compare our results with the existing bounds on the LIV parameters.…”