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 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 ${\gamma }_{\tau \tau }^{(5)}=$ 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.

arXiv comment11 pages, 4 figures, 2 tables; accepted for publication in Physical Review D

References in corpus (49)

• Lorentz-Violating Extension of the Standard Model
• Evidence for Neutrino Oscillations from the Observation of Electron Anti-neutrinos in a Muon Anti-Neutrino Beam
• Data Tables for Lorentz and CPT Violation
• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm
• The Reactor Antineutrino Anomaly
• The anomalous magnetic moment of the muon in the Standard Model
• The fate of hints: updated global analysis of three-flavor neutrino oscillations
• High-Energy Tests of Lorentz Invariance
• Measurement of the Negative Muon Anomalous Magnetic Moment to 0.7 ppm
• Reevaluation of the Hadronic Contributions to the Muon g-2 and to alpha(MZ)
• Simulation of long-baseline neutrino oscillation experiments with GLoBES
• New features in the simulation of neutrino oscillation experiments with GLoBES 3.0
• Reevaluation of the hadronic vacuum polarisation contributions to the Standard Model predictions of the muon g-2 and alpha(mZ) using newest hadronic cross-section data
• A new evaluation of the hadronic vacuum polarisation contributions to the muon anomalous magnetic moment and to $\mathbf{\alpha }({\mathbf{m}}_{\mathbf{Z}}^2)$
• Significant Excess of ElectronLike Events in the MiniBooNE Short-Baseline Neutrino Experiment
• CPT Violation Implies Violation of Lorentz Invariance
• Statistical Significance of the Gallium Anomaly
• Constraint on the Matter-Antimatter Symmetry-Violating Phase in Neutrino Oscillations
• Status of non-standard neutrino interactions
• Getting the most from the statistical analysis of solar neutrino oscillations
• Lorentz and CPT Violation in Neutrinos
• Neutrinos with Lorentz-violating operators of arbitrary dimension
• Fermions with Lorentz-violating operators of arbitrary dimension
• CPT and Lorentz tests with muons
• An Improved Measurement of Neutrino Oscillation Parameters by the NOvA Experiment
• Sterile Neutrinos
• Search for CP violation in Neutrino and Antineutrino Oscillations by the T2K experiment with $2.2\times 10^{21}$ protons on target
• Rescattering effects in the hadronic-light-by-light contribution to the anomalous magnetic moment of the muon
• Neutrino Interactions In Oscillation Experiments
• Gravity from spontaneous Lorentz violation
• Improved constraints on neutrino mixing from the T2K experiment with $3.13\times 10^{21}$ protons on target
• Supersymmetry and Lorentz Violation
• Neutrino Interferometry for High-Precision Tests of Lorentz Symmetry with IceCube
• CP-Violating Neutrino Non-Standard Interactions in Long-Baseline-Accelerator Data
• A model of CPT violation for neutrinos
• Laboratory tests of Lorentz and CPT symmetry with muons
• Searching for new physics with profile likelihoods: Wilks and beyond
• A Lorentz-Violating Origin of Neutrino Mass?
• Updated T2K measurements of muon neutrino and antineutrino disappearance using 1.5e21 protons on target
• New limits on the Lorentz/CPT symmetry through fifty gravitational-wave events
• Neutrino oscillations and Lorentz Invariance Violation in a Finslerian Geometrical model
• Global oscillation data analysis on the $3\nu$ mixing without unitarity
• Looking for Lorentz invariance violation (LIV) in the latest long baseline accelerator neutrino oscillation data
• Neutrino Oscillations and Lorentz Invariance Violation
• The Muon $g-2$ experiment at Fermilab
• Phenomenological Effects of CPT and Lorentz Invariance Violation in Particle and Astroparticle Physics
• T2K measurements of muon neutrino and antineutrino disappearance using $3.13\times 10^{21}$ protons on target
• Latest Results from T2K
• Aspects of Lorentz-Poincaré-symmetry violating physics in a supersymmetric scenario

Cited by in corpus (7)

• Distinguishing Non-Standard Interaction and Lorentz Invariance Violation at Protvino to Super-ORCA experiment
• Investigating Lorentz Violation with the long baseline experiment P2O
• Impact of Lorentz violation on anomalous magnetic moments of charged leptons
• The Muon Magnetic Moment and Physics Beyond the Standard Model
• Comprehensive study of Lorentz invariance violation in atmospheric and long-baseline experiments
• Effects of Lorentz violation in the Higgs sector of the Minimal Standard Model Extension
• Neutrino CP Measurement in the Presence of RG Running with Mismatched Momentum Transfers