# Poster excerpt 8: Search for Sterile Neutrino Mixing in Tau Neutrino Appearance with the Opera Detector

*(The following text has been produced by M.Tenti for the Opera collaboration)*

** Motivation: **Experimental anomalies exist in neutrino oscillations data that cannot be accommodated in the standard three-neutrino oscillations framework (SAGE, GALLEX, nuclear reactor anomaly, MiniBooNE, LSND). They may hint to the existence of sterile neutrino(s) with a mass of the order of 1 eV. The OPERA experiment can test the sterile neutrino hypothesis looking for deviations from the predictions of the three-neutrino oscillations model.

** The OPERA experiment: **OPERA is designed to observe the nm → nt oscillations identifying the t lepton decays in nt CC interactions [1]. From 2008 to 2012 the OPERA detector, hosted in the Gran Sasso Underground Laboratory of INFN, was exposed, at a distance of 730 km from neutrino source, to the almost pure nm CNGS beam.

** Analysis in the 3+1 neutrino model: **OPERA collected data corresponding to 1.8 ´ 10

^{20}protons on target. The analysed data sample amounts to ~75% of the total statistics.

Four nt CC interaction candidates have been observed with a total expected background of 0.23 ± 0.05 events [2]. The number, μ, of expected nt events is evaluated using GLoBES [3].

The parameter Dm^{2}21 is set to 7.54 ´ 10^{-5} eV^{2} and Dm^{2}31 is assumed Gaussian distributed with mean and sigma from global best fit [4], i.e. (2.47 ± 0.06) ´ 10^{-3} eV^{2} for Normal (N.H.) and

(-2.34 ± 0.06) ´ 10^{-3} eV^{2} for Inverted (I.H.) hierarchy.

The likelihood *L* is defined as:

where *P* is a Poisson distribution depending on the number, μ, of expected events and the number, n, of observed events while p is the Gaussian prior on the nuisance parameter Dm^{2}31. The results are given in terms of the new squared mass difference (Dm^{2}41) and the effective mixing (sin 2qmt = 2|Um4||Ut4|).

The 90% Confidence Level (CL) excluded region on [Dm^{2}41, sin^{2}2qmt] plane is lowered down to values of 10^{-2} eV^{2} for sin^{2}2qmt > 0.5 (Fig. 1). The excluded regions are very similar but with hierarchies exchanged if Dm^{2}41 is assumed negative or positive [5].

*Figure 1: The 90% CL excluded region in [fmt, sin ^{2}2qmt] plane for Normal (red) and Inverted (blue) hierarchy of the three standard neutrinos. The grey and black lines are the excluded region of the NOMAD and CHORUS experiments, respectively*

*References*

[1] *R. Acquafredda et al.* [OPERA Collaboration], JINST 4 (2009) P04018.

[2] *N. Agafonova et al.* [OPERA Collaboration], PTEP (2014) 101C01.

[3] *P. Huber, M. Lindner and W. Winter*, Comput. Phys. Commun. 167 (2005) 195; *P. Huber, J. Kopp, M. Lindner, M. Rolinec, and W. Winter,* Comput. Phys. Commun. 177 (2007) 432.

[4] *K.A. Olive et al*. (Particle Data Group), Chin. Phys. C, 38, 090001 (2014).

[5] *N. Agafonova et al.* [OPERA Collaboration], submitted to JHEP.