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Sterile Neutrino Searches with MINOS+ Leigh Whitehead Birmingham HEP Seminar 29/04/20 Outline Introduction MINOS+ Experiment Three flavour oscillation results Four flavour oscillation results Leigh Whitehead 2 Neutrinos


  1. Sterile Neutrino Searches with MINOS+ Leigh Whitehead Birmingham HEP Seminar 29/04/20

  2. Outline • Introduction • MINOS+ Experiment • Three flavour oscillation results • Four flavour oscillation results Leigh Whitehead 2

  3. Neutrinos • Neutrino oscillations have become a well-established and well-described phenomenon over the last 20 years. • The Nobel Prize in Physics 2015 was awarded jointly to Takaaki Kajita and Arthur B. McDonald "for the discovery of neutrino oscillations, which shows that neutrinos have mass" • Oscillations arise from the quantum mechanical interference between the neutrino mass states. • At least two of the neutrinos must be massive! • The neutrino eigenstates of the weak interaction are not the same as the mass eigenstates. Leigh Whitehead 3

  4. Neutrinos • For three neutrino flavours: Mass eigenstates: Flavour eigenstates: 3x3 unitary matrix – the PMNS matrix L Leigh Whitehead 4 Leigh Whitehead 4

  5. <latexit sha1_base64="L5djQEbjhKbZAmubGd6ytMc602s=">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</latexit> Neutrinos • For three neutrino flavours: Muon neutrino disappearance 
 Electron antineutrino (Anti)electron neutrino (accelerator and atmospheric) disappearance (reactor) disappearance 
 Electron neutrino appearance (solar and reactor) (accelerator) • Three mixing angles and a CP violating phase. • Oscillations are driven by mass-squared splittings ✓ 1 . 27 ∆ m 2 ◆ 31 L P ( ν µ → ν µ ) ≈ 1 − sin 2 2 θ 23 sin 2 E Leigh Whitehead 5

  6. Mass Hierarchy • The order of all the mass states isn’t completely known. Inverted Hierarchy Normal Hierarchy ν 3 ν 2 Δ m 221 ν 1 ν e Δ m 232 ν µ Δ m 232 ν τ ν 2 Δ m 221 ν 1 ν 3 • The sign of is known from matter effects in the Sun and from the definition of having the largest component. • The sign of is still unknown. Leigh Whitehead 6

  7. Current State of Measurements • Very successful programme 
 Nu-Fit v4.0 of measurements. • The remaining unknowns: • Is the mass-hierarchy • Normal > 0? • Inverted < 0? 
 • Is = 45 o ? Esteban, I., Gonzalez-Garcia, M.C., Hernandez-Cabezudo, A. et al. J. High • If not, is it higher or lower? 
 Energ. Phys. (2019) 2019: 106. https://doi.org/10.1007/JHEP01(2019)106 • What is the value of ? • How many neutrinos are there? • Is there CP violation in the neutrino 
 sector? Leigh Whitehead 7

  8. MINOS and 
 MINOS+

  9. The MINOS+ Experiment Near Detector Far Detector 1 km from beam target 735 km from beam target 1 kton mass 5.4 kton mass • MINOS/MINOS+ had two functionally identical, magnetised, tracking, sampling calorimeters. • Can distinguish muon charge from the curvature. • Exposed by the NuMI beam at Fermilab. • MINOS+ is the continuation of MINOS into the NOvA era at FNAL. Leigh Whitehead 9

  10. The NuMI Beam • MINOS+ collected neutrinos from the NuMI beam at Fermilab. 120 GeV 
 protons from 
 Main Injector • Neutrinos produced by decay of 
 focused mesons produced in the target. • Polarity of the horns can be reversed to 
 produce an antineutrino beam. Leigh Whitehead 10

  11. Data Samples 10.56 x 10 20 POT MINOS 5.80 x 10 20 POT MINOS+ • Results shown today use all MINOS and 2/3 years of MINOS+ data Leigh Whitehead 11

  12. Neutrino Interactions in MINOS+ • There are three main types of interactions seen in MINOS+ ν µ charged-current ν neutral-current ν e charged-current Leigh Whitehead 12

  13. NC Event Selection • The first step is to select the neutral current interactions. • Two main selection criteria: • Event length and the extension of the track beyond the hadronic shower. Leigh Whitehead 13

  14. CC Event Selection • Charged current interactions are selected from those that do not pass the neutral current selection. • Use a kNN to select CC interactions from the backgrounds. • Uses four topological and energy deposition variables as input. Leigh Whitehead 14

  15. Three Flavour 
 Oscillation Analysis

  16. Beam Neutrinos - Flux Prediction • In our three-flavour analysis we use the ND to tune the MC • A special sample with the magnetic horns switched off allows us to probe hadron production effects Leigh Whitehead 16

  17. Beam Neutrinos - Flux Prediction • In our three-flavour analysis we use the ND to tune the MC • We then apply these hadron production weights to the standard horn on MC Leigh Whitehead 17

  18. Beam Neutrinos - Flux Prediction • In our three-flavour analysis we use the ND to tune the MC • Finally, we fit the standard hour on MC to tune the beam focussing component of the flux prediction Leigh Whitehead 18

  19. Beam Neutrinos • MINOS was designed to measure the atmospheric scale oscillation parameters. • Look for disappearance of muon neutrinos in the FD relative to ND. • Measure muon neutrinos through charged current interactions. Leigh Whitehead 19

  20. Atmospheric Neutrinos • The MINOS+ Far Detector has collected a large number of atmospheric neutrinos over 12 years • Neutrinos and anti-neutrinos separated by curvature in the magnetic field Leigh Whitehead 20

  21. Atmospheric Neutrinos • The MINOS+ Far Detector has collected a large number of atmospheric neutrinos over 12 years • Neutrinos and anti-neutrinos separated by curvature in the magnetic field Leigh Whitehead 21

  22. Three Flavour Oscillations Best fit • Fit gives 1D and 2D contours 32 = 2.42x10 -3 eV 2 Δ m 2 sin 2 θ 23 = 0.42 | Δ m 2 32 | 90% C.L. intervals NH: (2.28 – 2.55) x 10 -3 eV 2 IH: (2.33 – 2.60) x 10 -3 eV 2 Measured to ~3.5% at 68% C.L. sin 2 θ 23 90% C.L. interval 0.36 – 0.65 Leigh Whitehead 22

  23. Three Flavour Oscillations Best fit • Fit gives 1D and 2D contours 32 = 2.42x10 -3 eV 2 Δ m 2 sin 2 θ 23 = 0.42 | Δ m 2 32 | 90% C.L. intervals NH: (2.28 – 2.55) x 10 -3 eV 2 IH: (2.33 – 2.60) x 10 -3 eV 2 Measured to ~3.5% at 68% C.L. sin 2 θ 23 90% C.L. interval 0.36 – 0.65 Leigh Whitehead 23

  24. Beyond Three 
 Neutrino Flavours

  25. 
 How Many Neutrinos? • Invisible width of the Z-boson from LEP very strongly measured that there are 3 neutrinos. • For fourth neutrino 
 must not couple to the Z-boson. • Hence the name sterile . • Results from Planck: P . A. R. Ade, et al. (2016) Astron. Astrophys. 594, arXiv 1502.01589 Leigh Whitehead 25

  26. Some Anomalies • The majority of neutrino oscillation data is well described by the three flavour model. • However, there are some outliers. • Anomalous appearance of in short-baseline beams. • Gallium experiment calibration sources. • Reactor neutrino flux deficit. • The main point is that all three anomalies were consistent with oscillations at a mass-splitting scale of approximately 1 eV 2 Leigh Whitehead 26

  27. Some Anomalies - 1 • LSND saw an excess of • Could be interpreted as oscillations at 
 a mass-splitting scale of approximately 
 1 eV 2 • However, KARMEN2 saw results 
 consistent with expectation. • The MiniBooNE experiment was devised to investigate these differing results… • Looked at and 
 Leigh Whitehead 27

  28. Some Anomalies - 1 • MiniBooNE saw excess appearance in 
 both neutrino and anti neutrino channels. • Not identical to LSND, but allowed 
 similar regions of phase-space. A. Aguilar-Arevalo et al. Phys. Rev. Lett. 121 (2018), p. 221801. Leigh Whitehead 28

  29. Some Anomalies - 2 • GALLEX and SAGE were two 
 solar neutrino experiments. • Calibrated using 
 radioactive sources. • Measured rates from the 
 calibration sources showed 
 consistent deficits. • Again, consistent with a 
 Gariazzo et al. J.Phys. G43 (2016) 033001 DOI:10.1088/0954-3899/43/3/033001 1 eV 2 mass-splitting. Leigh Whitehead 29

  30. Some Anomalies - 3 • The majority of reactor neutrino experiments have seen a deficit of . Gariazzo et al. (2017). arXiv: 1703.00860 [hep-ex] • Again, consistent with a 1 eV 2 mass-splitting, but… Leigh Whitehead 30

  31. Some Anomalies - 3 • Daya Bay released results from studying their flux as a function of reactor fuel cycles to extract information on the uranium and plutonium components. • Flux deficit appears to only come 
 from the uranium flux. • The sterile neutrino hypothesis 
 for the reactor anomaly is: 
 “incompatible with Daya Bay’s 
 observation at 2.6 σ ”. An et al. (2017). arXiv: 1704.01082 [hep-ex] Leigh Whitehead 31

  32. Null Results • A number of muon neutrino disappearance experiments see no evidence of a sterile neutrino. • MiniBooNE + SciBooNE • MINOS • IceCube • CDHS • CCFR • Super-K • … M. G. Aartsen et al. Phys. Rev. P . Adamson et al., Phys. Rev. Lett. 117, 151803 (2016). 
 Lett. 117, 071801 (2016) 
 Leigh Whitehead 32

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