1. MINOS+ Sterile Neutrino Studies J.Thomas UCL J.Evans (UCL), A.Gavrilenko (W&M), M.Matthis (W&M)A.Sousa(Harvard) UCL

2. MINOS+ Precision Measurement ~3000 CC events/year between 4-10GeV (including energy resolution and efficiencies)

3. Sterile neutrino search PAC requested update on this

4. Different experiments Reactor experiments ( e disappearance):  14 MiniBooNE and LSND ( e appearance):  14 +  24 MINOS (NC and  disappearance)  24 +  34 MiniBooNE and LSND, CDHS, CFFR (  dis):  24 MINOS+ (  disappearance) :  24 MINOS+ (NC disappearance) :  24 +  34

5. Improvements MINOS+ Monte Carlo used for this analysis – Previous used reweighted LE events Oscillations at the Near Detector are incorporated A complete 4-flavour oscillation formula is used to allow lower reach in  m 2 43 – Down to where interference with atmospheric oscillations occurs (  m 2 43 = 2.5x10 -3 eV 2 )

6. MINOS+ advantages MINOS+ will have very high statistics – Simulations here use 2 years of neutrinos or 2 years of anti-neutrinos 2 detector experiment – Normalisation measurement at FD rather than shape only (MiniBoone, CDHS, CCFR) – Two baselines : 1km and 735km

7. Some Mathematics And helpful assumptions (but these not implemented in simulation)

8. Some Maths

9. Thought Simplifications  m 2 21 dependence can be neglected at this L and E, so  13 is small (set to 0)

10. Thought simplifications Reactor anomaly allows  14 < ~9 o, (small) so: End up with: Above  m 2 43 of 10 -1 eV 2, sin 2  41 and sin 2  43 ≈0.5 And Probability at FD:

11. The limits from last PAC MINOS AND MINOS+

12. MINOS MINOS+(old)

13. Characteristics of Limits 10 -1 <  m 2 34 <1eV 2 : FD in fast oscillation mode and mass squared term averages to ½, so no sensitivity to exact value of  m 2 34  m 2 34 > 1eV 2 : Near Detector spectrum affected leading to more structure to the exclusion region  m 2 34 > 10eV 2 : ND and FD both see fast oscillations, so comparison cancels sensitivity to the effect

14. FD sterile example Both atmospheric and sterile dips apparent here DM2 factor averages to 0.5

15. Near Detector Example Systematic error is on ratio of numu to numubar

16. MINOS+ θ 24 sin 2  41 ≈sin 2  43 ≈0.5 : FD effect Atmospheric analysis assumed correct! ND starts fast oscillation too ND starts to see effect

17. Bottom Line anti-neutrinosneutrinos

18. Summary More careful job results in much larger reach NC additional analysis not yet complete but improvement expected between 10 -2 eV 2 and 10 -3 eV 2. MINOS+ has a world-beating sensitivity to this sterile search for both neutrinos and antineutrinos over large range of mass splitting