Related papers: An Effective Two-Flavor Approximation for Neutrino…
Neutrino oscillations are one of the most studied and successful phenomena since the establishment of the solar neutrino problem in late 1960's. In this work we discuss the exact expressions for the probability P_{\alpha\beta} in a constant…
Recently a new method for determining the neutrino mass hierarchy by comparing the effective values of the atmospheric \Delta m^2 measured in the electron neutrino disappearance channel, \Delta m^2(ee), with the one measured in the muon…
We suggest mass matrices for neutrinos and charged leptons that can explain solar and atmospheric neutrino data. The resulting flavor mixing matrix $V_{\nu}$ has a property that $(V_{\nu})_{13}=0$, thus making $\nu_e \leftrightarrow…
Neutrino oscillation scenarios involving large angle $\nu_{\mu} \to \nu_e$ oscillations are disfavoured in the parameter range $\Delta m^2/eV^2 >~ 10^{-3}$ by recent results from the CHOOZ reactor-based $\bar{\nu}_e$ disappearance…
We study the consequences on the neutrino oscillation parameter space, mixing angle ($\tan^2\theta$) and vacuum mass difference ($\Delta m^2_0$), when mass varying neutrino (MaVaN) models are assumed in a supernova environment. We consider…
We show that the earth matter effects in the ${\rm {\nu_e \to \nu_e}}$ survival probability can be used to cleanly determine the third leptonic mixing angle $\theta_{13}$ and the sign of the atmospheric neutrino mass squared difference,…
We show that the phase appearing in neutrino flavor oscillation formulae has a geometric and topological contribution. We identify a topological phase appearing in the two flavor neutrino oscillation formula using Pancharatnam's…
We examine the general structure of the formulae of neutrino oscillations proposed by Blasone and Vitiello(BV). Reconstructing their formulae with the retarded propagators of the flavor neutrino fields for the case of many flavors, we can…
A detailed study of the solar neutrino vacuum oscillation was made taking into account three neutrino flavours and the seasonal effect. This analysis was established for a range of the mixing parameter sin^2(2\phi), that is concerned with…
Neutrinos in compact-object environments, such as core-collapse supernovae, can experience various kinds of collective effects in flavor space, engendered by neutrino-neutrino interactions. These include "bipolar" collective oscillations,…
We report on the results of a three-flavor oscillation analysis using Super-Kamiokande~I atmospheric neutrino data, with the assumption of one mass scale dominance ($\Delta m_{12}^2$$=$0). No significant flux change due to matter effect,…
We investigate the indications of flavor oscillations that come from the anomalous flavor composition of the atmospheric neutrino flux observed in some underground experiments. We study the information coming from the neutrino-induced…
Matter-enhanced antineutrino flavor transformation between $\bar\nu_e$ and $\bar\nu_{\mu(\tau)}$ can occur in supernovae if the vacuum masses for these species satisfy $m_{\bar\nu_e}>m_{\bar\nu_{\mu(\tau)}}$. For $\delta m^2> 1$ eV$^2$,…
The three-flavor neutrino oscillation model describes the well-studied phenomenon of neutrinos produced in association with one charged lepton: electron, muon, or tau, and then later detected in association with a possibly different charged…
The large neutrino density in the deep interior of core-collapse supernovae and compact binary merger remnants makes neutrino flavor evolution non-linear because of the coherent forward scattering of neutrinos among themselves. Under the…
Neutrino flavor instabilities have the potential to shuffle neutrinos between electron, mu, and tau flavor states, modifying the core-collapse supernova mechanism and the heavy elements ejected from neutron star mergers. Analytic methods…
We investigate the collective neutrino oscillations under the three flavor multi-angle approximation in a spherically symmetric simulation of failed supernovae. A failed supernova emits high neutrino fluxes in a short time, while intense…
We investigate the $\nu_e \to \nu_{\mu}$ oscillation in the framework of three generations when neutrinos pass through the earth. The oscillation probability is represented by the form, $P(\nu_e \to \nu_\mu)=A\cos \delta+B\sin \delta+C$ in…
Two 3x3 matrices playing the role of annihilation and creation operators in the neutrino-flavor space of nu_e, nu_mu, nu_tau are applied to construct the off-diagonal part of neutrino effective mass matrix M. The construction leads to a new…
Current long-baseline accelerator experiments, NOvA and T2K, are making excellent measurements of neutrino oscillations and the next generation of experiments, DUNE and HK, will make measurements at the $\mathcal O(1\%)$ level of precision.…