MiniBooNE and MicroBooNE Combined Fit to a <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mn>3</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math> Sterile Neutrino Scenario
A. A. Aguilar-Arevalo, Bruce Brown, J. M. Conrad, R. Dharmapalan, A. Diaz, Z. Djurcic, D. A. Finley, R. Ford, G. T. Garvey, S. Gollapinni, A. Hourlier, E.-C. Huang, N. Kamp, G. Karagiorgi, T. Katori, T. Kobilarcik, K. Lin, W. C. Louis, C. Mariani, W. Marsh, G.B. Mills, J. Mirabal-Martinez, C. D. Moore, R. H. Nelson, J. Nowak, Ž. Pavlović, H. Ray, B.P. Roe, A. D. Russell, A. Schneider, M. H. Shaevitz, J. Spitz, I. Stancu, R. Tayloe, R. T. Thornton, M. Tzanov, R. G. Van de Water, D. H. White, E. D. Zimmerman
Abstract
This Letter presents the results from the MiniBooNE experiment within a full ``$3+1$'' scenario where one sterile neutrino is introduced to the three-active-neutrino picture. In addition to electron-neutrino appearance at short baselines, this scenario also allows for disappearance of the muon-neutrino and electron-neutrino fluxes in the Booster Neutrino Beam, which is shared by the MicroBooNE experiment. We present the $3+1$ fit to the MiniBooNE electron-(anti)neutrino and muon-(anti)neutrino data alone and in combination with MicroBooNE electron-neutrino data. The best-fit parameters of the combined fit with the exclusive charged-current quasielastic analysis (inclusive analysis) are $\mathrm{\ensuremath{\Delta}}{m}^{2}=0.209\text{ }\text{ }{\mathrm{eV}}^{2}(0.033\text{ }\text{ }{\mathrm{eV}}^{2})$, $|{U}_{e4}{|}^{2}=0.016(0.500)$, $|{U}_{\ensuremath{\mu}4}{|}^{2}=0.500(0.500)$, and ${\mathrm{sin}}^{2}(2{\ensuremath{\theta}}_{\ensuremath{\mu}e})=0.0316(1.0)$. Comparing the no-oscillation scenario to the $3+1$ model, the data prefer the $3+1$ model with a $\mathrm{\ensuremath{\Delta}}{\ensuremath{\chi}}^{2}/\mathrm{d}.\mathrm{o}.\mathrm{f}.=24.7/3(17.3/3)$, a $4.3\ensuremath{\sigma}(3.4\ensuremath{\sigma})$ preference assuming the asymptotic approximation given by Wilks's theorem.