1302.6773 (Sanjib Kumar Agarwalla et al.)

Analytical Approximation of the Neutrino Oscillation Probabilities at
large θ_{13}    [PDF]

Sanjib Kumar Agarwalla, Yee Kao, Tatsu Takeuchi

We present a simple analytical approximation to the neutrino oscillation probabilities in matter. The moderately large value of \theta_{13}, recently discovered by the reactor experiments Daya Bay and RENO, limits the ranges of applicability of previous analytical approximations which relied on expanding in \sin\theta_{13}. In contrast, our approximation, which is applicable to all oscillations channels at all energies and baselines, works well for large \theta_{13}. We demonstrate the accuracy of our approximation by comparing it to the exact numerical result, as well as the approximations of Cervera et al. and Asano and Minakata. We also discuss the utility of our approach in figuring out the required baseline lengths and neutrino energies for the oscillation probabilities to exhibit certain desirable features.

View original: http://arxiv.org/abs/1302.6773