On the effect of NSI in the present determination of the mass ordering

In a recent work by Capozzi et al (arXiv:1908.06992), it is observed that the introduction of non-standard neutrino-matter interactions considerably relaxes the preference of T2K and NO$\nu$A for normal over inverted mass ordering observed in the standard three-neutrino scenario. Motivated by this, in this note we update our previous global fit to investigate whether such result still holds once the information of solar, atmospheric and reactor experiments is taken into account. We find that the non-standard parameters responsible for the improvement of the inverted ordering fit to T2K and NO$\nu$A data are not compatible with the other oscillation experiments, and that the preference for NO is restored.