Testing CPT Symmetry with Supernova Neutrinos

Abstract

Diagnosing core of supernova requires favor-dependent reconstruction of three species of neutrino spectra, ν_e, \barν_{e} and ν_x (a collective notation for ν_μ, \barν_μ, ν_τ, and \barν_τ). We point out that, assuming the information available, CPT symmetry can be tested with supernova neutrinos. We classify all possible level crossing patterns of neutrinos and antineutrinos into six cases and show that half of them contains only the CPT violating mass and mixing patterns. We discuss how additional informations from terrestrial experiments help identifying CPT violation by narrowing down the possible flux patterns. Although the method may not be good at precision test, it is particularly suited to uncover gross violation of CPT such as different mass patterns of neutrinos and antineutrinos. The power of the method is due to the nature of level crossing in supernova which results in the sensitivity to neutrino mass hierarchy and to the unique characteristics of in situ preparation of both νand \barν beams. Implications of our discussion to the conventional analyses with CPT conservation are also briefly mentioned.

24 pages, 4 figures, discussion added on narrowing down flux patterns by terrestrial measurement

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Cited by in corpus (12)

• Short-Baseline Electron Neutrino Disappearance, Tritium Beta Decay and Neutrinoless Double-Beta Decay
• Hint of CPT Violation in Short-Baseline Electron Neutrino Disappearance
• Neutrino vs. Antineutrino Oscillation Parameters at DUNE and Hyper-Kamiokande
• Short-Baseline Electron Neutrino Disappearance at a Neutrino Factory
• Extrinsic and Intrinsic CPT Asymmetries in Neutrino Oscillations
• Short-Baseline antinu_mu -> antinu_e Oscillations
• Signals of CPT Violation and Non-Locality in Future Neutrino Oscillation Experiments
• Constraining CPT violation with Hyper-Kamiokande and ESSnuSB
• Model-independent test for CPT violation using long-baseline and atmospheric neutrino experiments
• CPT invariance and neutrino physics
• Implications of a matter-antimatter mass asymmetry in Penning-trap experiments
• EUROnu-WP6 2010 Report