Exploring fake solutions in the sterile neutrino sector at long-baseline experiments

Abstract

Active-sterile neutrino mixing is known to affect the neutrino oscillation probabilities at both short as well as long-baselines. In particular, constraints on active-sterile neutrino oscillation parameters can be obtained from long-baseline experiments such as T2HK and DUNE. We present here existence of fake solution in the appearance channel for the 3 + 1 scenario at long-baseline experiments. We show that the appearance probability is same for values of Delta m_{41}^2 for which the fast oscillations are averaged out and for Delta m_{41}^2=(1/2)Delta m_{31}^2. The fake solution does not appear for the disappearance channel.