Proposal of a Simple Method to Estimate Neutrino Oscillation Probability and CP Violation in Matter

Abstract

We study neutrino oscillation within the framework of three generations in matter. We propose a simple method to approximate the coefficients A, B and C which do not depend on the CP phase δin the oscillation probability P(ν_e \to ν_μ)=A\cos δ+ B\sin δ+C. An advantage of our method is that an approximate formula of the coefficients A, B and C in arbitrary matter {\it without the usual first order perturbative calculations} of the small parameter Δm_{21}^2/Δm_{31}^2 or \sin θ_{13} can be derived. Furthermore we show that all the approximate formulas for low, intermediate and high energy regions given by other authors in constant matter can be easily derived from our formula. It means that our formula is applicable over a wide energy region.

15 pages, 9 figures, accepted version in PLB

References in corpus (5)

• First Results from KamLAND: Evidence for Reactor Anti-Neutrino Disappearance
• Non-adiabatic Level Crossing in Resonant Neutrino Oscillations
• Overall Feature of CP dependence for Neutrino Oscillation Probability in Arbitrary Matter Profile
• CP violation and matter effect for a variable earth density in very long baseline experiments
• Modeling realistic Earth matter density for CP violation in neutrino oscillation

Cited by in corpus (7)

• Current unknowns in the three neutrino framework
• Why Is The Neutrino Oscillation Formula Expanded In $\Delta m_{21}^2/\Delta m_{31}^2$ Still Accurate Near The Solar Resonance In Matter?
• Large Non-perturbative Effects of Small Δm^2_{21}/Δm^2_{31} and \sin θ_{13} on Neutrino Oscillation and CP Violation in Matter
• Connecting Leptonic Unitarity Triangle to Neutrino Oscillation with CP Violation in Vacuum and in Matter
• New Index of CP Phase Effect and ${\theta }_{13}$ Screening in Long Baseline Neutrino Experiments
• Measuring the Leptonic CP Phase in ${\nu }_{\mu }\to {\nu }_{\mu }$ Oscillations
• Effect of Leptonic CP Phase in nu_mu --> nu_mu Oscillations