title: First Constraints on the Complete Neutrino Mixing Matrix with a Sterile Neutrino.
abstract: Neutrino oscillation models involving one extra mass eigenstate beyond the standard three (3+1) are fit to global short baseline experimental data and the recent IceCube ν_{μ}+ν[over ¯]_{μ} disappearance search result. We find a best fit of Δm_{41}^{2}=1.75  eV^{2} with Δχ_{null-min}^{2}/d.o.f. of 50.61/4. We find that the combined IceCube and short baseline data constrain θ_{34} to <80°(<6°) at 90% C.L. for Δm_{41}^{2}≈2(6)  eV^{2}, which is improved over present limits. Incorporating the IceCube information provides the first constraints on all entries of the 3+1 mixing matrix.
authors.affiliation: Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.
authors.forename: G H
authors.initials: GH
authors.lastname: Collin
authors.affiliation: Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.
authors.forename: C A
authors.initials: CA
authors.lastname: Argüelles
authors.affiliation: Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.
authors.forename: J M
authors.initials: JM
authors.lastname: Conrad
authors.affiliation: Columbia University, New York, New York 10027, USA.
authors.forename: M H
authors.initials: MH
authors.lastname: Shaevitz