Related papers: Towards exploring $U_{e3}$
Assuming that the JPARC experiment measures the oscillation probabilities $P(\nu_\mu\to\nu_e)$ and $P(\bar{\nu}_\mu\to\bar{\nu}_e)$ at $|\Delta m^2_{31}|L/4E=\pi/2$, I discuss what kind of extra experiment (long baseline or reactor) can…
It is shown that eightfold degeneracy in neutrino oscillations is easily seen by plotting constant probabilities in the $(\sin^22\theta_{13}, 1/s^2_{23})$ plane. Using this plot, we discuss how an additional long baseline measurement…
We point out that determination of the MNS matrix element |U_{e3}| = s_{13} in long-baseline \nu_{\mu} \to \nu_e neutrino oscillation experiments suffers from large intrinsic uncertainty due to the unknown CP violating phase \delta and sign…
It is shown that plots of constant probabilities in the $(\sin^22\theta_{13}, 1/s^2_{23})$ plane enable us to see eightfold degeneracy easily. Using this plot, I discuss how an additional long baseline measurement resolves degeneracies…
We study the possibility of determining the octant of the neutrino mixing angle $\theta_{23}$, that is, whether $\theta_{23}> 45^\circ$ or $\theta_{23}<45^\circ$, in long baseline neutrino experiments. Here we numerically derived the…
The recent data indicate that the neutrino mixing angle $\theta_{23}$ deviates from the maximal-mixing value of 45$^\circ$, showing two nearly degenerate solutions, one in the lower octant (LO) ($\theta_{23}<45^\circ$) and one in the higher…
We investigate the prospects for determining the octant of $\theta_{23}$ in the future long baseline oscillation experiments. We present our results as contour plots on the ($\theta_{23}-45^\circ$, $\delta$)--plane, where $\delta$ is the CP…
In neutrino phenomenology, terms in the oscillation probabilities linear in $\sin \theta_{13}$ lead naturally to the question ``How can one measure $\theta_{13}$ including its sign?'' Here we demonstrate analytically and with a simulation…
Till 2010 we had three unknown parameters of neutrino oscillation: the third mixing angle {\theta}_(13), the sign of the larger mass difference {\Delta}m^(2)_(31) and the CP violating phase {\delta}. Thanks to a number of consistent…
We consider a search for the CP-violating angle deltaCP in long baseline neutrino oscillation experiments. We show that the subleading deltaCP-dependent terms in the nu_mu -> nu_e oscillation probability can be easily obscured by the…
We examine accuracy of theta_{23} determination in future long-baseline (LBL) nu_{mu} disappearance experiments in the three-flavor mixing scheme of neutrinos. Despite that the error of sin^2{2theta_{23}} is indeed a few % level at around…
The Cervera et al. formula, the best known approximate formula of neutrino oscillation probability for long-baseline experiments, can be regarded as a second-order perturbative formula with small expansion parameter epsilon \equiv Delta…
Global analyses of neutrino data suggest that the mixing angle $\theta_{23}$ is likely to be nonmaximal with two closely matched solutions emerging: one representing a smaller angle ($\theta_{23}$ < $\pi/4$) and the other a larger angle…
Keeping in mind the possibility of large theta(13), which will be soon explored by reactor and accelerator experiments, I formulate a perturbation theory of neutrino oscillation under the ansatz, sin^2(theta_{13}) \simeq Delta…
We investigate the baseline range in which the $\theta_{23}$ degeneracy in neutrino oscillation probabilities is absent for fixed values of $\theta_{13}$ and CP violation phase $\delta_{\rm CP}$. We begin by studying sensitivities of…
The octant of the atmospheric mixing angle $\theta_{23}$ is still undetermined by neutrino oscillation experiments. Long-baseline experiments like NO$\nu$A, T2K and DUNE offer good prospects for determining the octant of $\theta_{23}$.…
The discovery of neutrino mixing and oscillations over the past decade provides firm evidence for new physics beyond the Standard Model. Recently, theta13 has been determined to be moderately large, quite close to its previous upper bound.…
A very long baseline experiment, with $L/E$ of $1.6 \times 10^4$ m/MeV, has been proposed as the ideal means to measure $\theta_{13}$, including its sign, for neutrino energies less than 50 MeV. Higher energies require consideration of the…
This work has shown that at strict fulfilment of condition $\Delta m^2_{1 3} = \Delta m^2_{1 2} + \Delta m^2_{2 3}$ the expression for probability of $\nu_e \to \nu_e$ transitions $P_{\nu_e \to \nu_e}(t)$ is positively defined at every…
Sensitivities to neutrino oscillation parameters for possible very long baseline neutrino oscillation experiments are discussed. The reach for observing a non-zero mixing angle $\theta_{13}$, establishing CP violation and determining the…