Limits on Lorentz and CPT violation from double beta decay

Abstract

Deviations from Lorentz and CPT invariance in the neutrino sector and their observable effects in double beta decay are studied. For two-neutrino double beta decay, a spectral distortion and its properties are characterized for different isotopes. Majorana couplings for Lorentz violation are studied and shown to trigger neutrinoless double beta decay even for negligible Majorana mass. Existing data are used to obtain first limits of $5\times 10^{-9}$ for 18 individual coefficients and attainable sensitivities in current and future experiments are presented.

7 pages two-column REVTeX

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• Probing Lorentz and CPT Violation in a Magnetized Iron Detector using Atmospheric Neutrinos
• Neutrinos as probes of Lorentz invariance
• Limits on CPT violation from solar neutrinos
• Testing Lorentz and CPT invariance with neutrinos
• Lorentz violation effects in two neutrino double-beta decay
• Search for Light Exotic Fermions in Double-Beta Decays
• Implications of $\text{SU}(2{)}_L$ gauge invariance for constraints on Lorentz violation
• Tests of Lorentz and CPT Violation in the Medium Baseline Reactor Antineutrino Experiment
• Probing Beyond the Standard Model Physics with Double-beta Decays
• Modeling of GERDA Phase II data
• Testing CPT violation with correlated neutral mesons
• Double Beta Decay APPEC Committee Report
• Neutrino refraction by the cosmic neutrino background
• Probing Lorentz violation in $2\nu \beta \beta$ using single electron spectra and angular correlations
• Tests of Lorentz symmetry in single beta decay
• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
• Investigation of the Lorentz invariance violation in two-neutrino double-beta decay
• Detailed studies of ${}^{100}$Mo two-neutrino double beta decay in NEMO-3
• Formal Developments for Lorentz-Violating Dirac Fermions and Neutrinos
• Thermodynamic Prescription of Cosmological Constant in Randall Sundrum-II Brane
• On testing violations of Bose and $CPT$ symmetries via Dalitz plots and Dalitz `prism'