Some comments on high precision study of neutrino oscillations

Abstract

I discuss some problems connected with the high precision study of neutrino oscillations. In the general case of $n$-neutrino mixing I derive a convenient expression for transition probability in which only independent terms (and mass-squared differences) enter. For three-neutrino mixing I discuss a problem of a definition of a large (atmospheric) neutrino mass-squared difference. I comment also possibilities to reveal the character of neutrino mass spectrum in future reactor neutrino experiments.

References in corpus (17)

• Observation of Reactor Electron Antineutrino Disappearance in the RENO Experiment
• The Reactor Antineutrino Anomaly
• Improved Predictions of Reactor Antineutrino Spectra
• On the determination of anti-neutrino spectra from nuclear reactors
• Phenomenology with Massive Neutrinos
• Updated fit to three neutrino mixing: status of leptonic CP violation
• Improved Search for ${\bar{\nu }}_{\mu }\to {\bar{\nu }}_e$ Oscillations in the MiniBooNE Experiment
• Sterile Neutrino Oscillations: The Global Picture
• Spectral measurement of electron antineutrino oscillation amplitude and frequency at Daya Bay
• Unambiguous Determination of the Neutrino Mass Hierarchy Using Reactor Neutrinos
• Combined analysis of ${\nu }_{\mu }$ disappearance and ${\nu }_{\mu }\to {\nu }_e$ appearance in MINOS using accelerator and atmospheric neutrinos
• Pragmatic View of Short-Baseline Neutrino Oscillations
• First Measurement of θ_13 from Delayed Neutron Capture on Hydrogen in the Double Chooz Experiment
• Neutrino mass hierarchy and electron neutrino oscillation parameters with one hundred thousand reactor events
• Overview of the Jiangmen Underground Neutrino Observatory (JUNO)
• New results from RENO and prospects with RENO-50
• Future Reactor Experiments

Cited by in corpus (3)

• Neutrino oscillations: from an historical perspective to the present status
• Appearance-Disappearance Relation in 3+$N_s$ Short-Baseline Neutrino Oscillations
• On atmospheric neutrino mass-squared difference in the precision era