English

What triggers $\theta_{13}$ discrepancy between Daya Bay and T2K?

High Energy Physics - Phenomenology 2015-11-12 v2 High Energy Physics - Experiment

Abstract

There seems to be a non-negligible discrepancy between Daya Bay and T2K experimental results of a neutrino mixing angle, θ13\theta_{13} . We show the discrepancy can be simply passed away even in the standard three neutrinos framework by taking the same value of Δm322\Delta m^2_{32} with a normal neutrino mass hierarchy and Dirac CP phase δ=π/2\delta = -\pi/ 2, which is favorable in T2K experiment. For numerical analyses of neutrino oscillation probabilities, there are five independent parameters, Δm212\Delta m_{21}^2, Δm322\Delta m_{32}^2, θ12\theta_{12}, θ23\theta_{23}, and δ\delta. We reevaluate θ13\theta_{13} by scatter plots within 1σ1 \sigma range of five-dimensional parameters space suggested by PDG, T2K, and Daya Bay. We project onto δ\delta-sin22θ13\sin^2 2 \theta_{13} plane and find an overlap area of θ13\theta_{13} suggested by T2K and Daya Bay. In the normal hierarchy case, the largest overlap area is given by parameters set suggested by T2K, and the overlap area becomes small in order of parameters sets suggested by PDG and Daya Bay. In the inverted hierarchy case, there is a tiny overlap area only in parameters set suggested by T2K. We also show several sample points of four parameters set, Δm212\Delta m_{21}^2, Δm322\Delta m_{32}^2, θ12\theta_{12}, and θ23\theta_{23}, where the dissonance of θ13\theta_{13} is really disappeared with δ=π/2\delta = -\pi/2.

Keywords

Cite

@article{arxiv.1508.05238,
  title  = {What triggers $\theta_{13}$ discrepancy between Daya Bay and T2K?},
  author = {Naoyuki Haba and Hiroyuki Ishida and Kyousuke Shimada and Yuya Yamaguchi},
  journal= {arXiv preprint arXiv:1508.05238},
  year   = {2015}
}

Comments

This paper has been withdrawn by the author due to a crucial error in the numerical calculations