Extrinsic and Intrinsic CPT Asymmetries in Neutrino Oscillations

Abstract

We reconsider the extrinsic and possible intrinsic CPT violation in neutrino oscillations, and point out an identity, i.e., $A_{\alpha \beta }^{\mathrm{CP}}=A_{\beta \alpha }^{\mathrm{CPT}}+A_{\alpha \beta }^{\mathrm{T}}$, among the CP, T, and CPT asymmetries in oscillations. For three-flavor oscillations in matter of constant density, the extrinsic CPT asymmetries $A_{ee}^{\mathrm{CPT}}$, $A_{e\mu }^{\mathrm{CPT}}$, $A_{\mu e}^{\mathrm{CPT}}$, and $A_{\mu \mu }^{\mathrm{CPT}}$ caused by Earth matter effects have been calculated in the plane of different neutrino energies and baseline lengths. It is found that two analytical conditions can be implemented to describe the main structure of the contours of vanishing extrinsic CPT asymmetries. Finally, without assuming intrinsic CPT symmetry in the neutrino sector, we investigate the possibility to constrain the difference of the neutrino CP-violating phase $\delta$ and the antineutrino one $\overline{\delta }$ using a low-energy neutrino factory and the super-beam experiment ESS$\nu$SB. We find that $|\delta -\overline{\delta }|\lesssim 0.35\pi$ in the former case and $|\delta -\overline{\delta }|\lesssim 0.7\pi$ in the latter case can be achieved at the $3\sigma$ confidence level if $\delta =\overline{\delta }=\pi /2$ is assumed.

26 pages, 6 figures, more discussions added, matches the published version

References in corpus (16)

• Observation of electron-antineutrino disappearance at Daya Bay
• Phenomenology with Massive Neutrinos
• New features in the simulation of neutrino oscillation experiments with GLoBES 3.0
• Measurement of the solar neutrino capture rate with gallium metal. III: Results for the 2002--2007 data-taking period
• Solar neutrino measurements in Super-Kamiokande-II
• Improved Measurement of Electron Antineutrino Disappearance at Daya Bay
• Sterile neutrino oscillations after first MiniBooNE results
• CP-violation from non-unitary leptonic mixing
• Physics potential of the CERN-MEMPHYS neutrino oscillation project
• Perturbative Lorentz and CPT violation for neutrino and antineutrino oscillations
• Systematic uncertainties in long-baseline neutrino oscillations for large ${\theta }_{13}$
• Study of the performance of a large scale water-Cherenkov detector (MEMPHYS)
• A low energy neutrino factory for large ${\theta }_{13}$
• Hint of CPT Violation in Short-Baseline Electron Neutrino Disappearance
• CPT violation in long baseline neutrino experiments: a three flavor analysis
• Signals of CPT Violation and Non-Locality in Future Neutrino Oscillation Experiments

Cited by in corpus (12)

• Particle Physics at the European Spallation Source
• Neutrino vs. Antineutrino Oscillation Parameters at DUNE and Hyper-Kamiokande
• Looking for Lorentz invariance violation (LIV) in the latest long baseline accelerator neutrino oscillation data
• A review of the tension between the T2K and NO$\nu$A appearance data and hints to new physics
• Apparent CPT Violation in Neutrino Oscillation from Dark Non-Standard Interactions
• Do T asymmetries for neutrino oscillations in uniform matter have a CP-even component?
• Constraining CPT violation with Hyper-Kamiokande and ESSnuSB
• Discriminating between Lorentz violation and non-standard interactions using core-passing atmospheric neutrinos at INO-ICAL
• Model-independent test for CPT violation using long-baseline and atmospheric neutrino experiments
• Stringent constraint on CPT violation with the synergy of T2K-II, NO$\nu$A extension, and JUNO
• Implications of a matter-antimatter mass asymmetry in Penning-trap experiments
• Shedding light on the $\Delta m_{21}^2$ tension with supernova neutrinos