Analytical description of CP violation in oscillations of atmospheric neutrinos traversing the Earth
arXiv:2005.07719 · doi:10.1007/JHEP10(2020)120
Abstract
Flavour oscillations of sub-GeV atmospheric neutrinos and antineutrinos, traversing different distances inside the Earth, are a promising source of information on the leptonic CP phase . In that energy range, the oscillations are very fast, far beyond the resolution of modern neutrino detectors. However, the necessary averaging over the experimentally typical energy and azimuthal angle bins does not wash out the CP violation effects. In this paper we derive very accurate analytic compact expressions for the averaged oscillations probabilities. Assuming spherically symmetric Earth, the averaged oscillation probabilities are described in terms of two analytically calculable effective parameters. Based on those expressions, we estimate maximal magnitude of CP-violation effects in such measurements and propose optimal observables best suited to determine the value of the CP phase in the PMNS mixing matrix.
arXiv commentExtended version accepted for publication in JHEP (antineutrino oscillations included); 27 pages, 12 figures
References in corpus (22)
- Status of neutrino oscillations 2018: first hint for normal mass ordering and improved CP sensitivity
- CP Violation and Neutrino Oscillations
- Leptonic CP violation
- Atmospheric neutrinos as probes of neutrino-matter interactions
- Neutrino Propagation in Matter
- Atmospheric neutrinos: LMA oscillations, Ue3 induced interference and CP-violation
- Leptonic Unitarity Triangle and CP-violation
- Neutrino mixing and CP-violation
- Quantization of Fermionic Fields with Two Mass States in the First Order Formalism
- Resolving parameter degeneracies in long-baseline experiments by atmospheric neutrino data
- Neutrino oscillations with three flavors in matter: Applications to neutrinos traversing the Earth
- Neutrino oscillograms of the Earth: effects of 1-2 mixing and CP-violation
- Sub-GeV Atmospheric Neutrinos and CP-Violation in DUNE
- What can we learn about the lepton CP phase in the next 10 years?
- Generalized Neutrino Mixing from the Atmospheric Anomaly
- Probing the leptonic Dirac CP-violating phase in neutrino oscillation experiments
- Three Neutrino Oscillations in Matter
- Analytical solutions to renormalization-group equations of effective neutrino masses and mixing parameters in matter
- Disentangling genuine from matter-induced CP violation in neutrino oscillations
- On the Properties of the Effective Jarlskog Invariant for Three-flavor Neutrino Oscillations in Matter
- Implications of the Dirac CP phase upon parametric resonance for sub-GeV neutrinos
- Hierarchy independent sensitivity to leptonic δ_CP with atmospheric neutrinos