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Over the last several years, our understanding of neutrino oscillations hasdeveloped significantly due to the long-baseline measurements of muon-neutrinodisappearance and muon-to-electron-neutrino appearance at the T2K and NOvAexperiments. However, when interpreted under thestandard-three-massive-neutrinos paradigm, a tension has emerged between thetwo experiments' data. Here, we examine whether this tension can be alleviatedwhen a fourth, very light neutrino is added to the picture. Specifically, wefocus on the scenario in which this new neutrino has a mass similar to, or evenlighter than, the three mostly-active neutrinos that have been identified todate. We find that, for some regions of parameter space, the four-neutrinoframework is favored over the three-neutrino one with moderate (a little undertwo sigma) significance. Interpreting these results, we provide future outlookfor near-term and long-term experiments if this four-neutrino framework isindeed true.

Very Light Sterile Neutrinos at NOvA and T2K