Recent neutrino oscillation results from T2K
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The document summarizes recent neutrino oscillation results from the T2K experiment. It begins with a brief history of neutrino discoveries and introduces the concept of neutrino oscillations. It then describes the T2K experiment, including the neutrino beam produced at J-PARC, the near detectors that characterize the beam, and the large far detector in Korea. The document presents the T2K collaboration's latest neutrino oscillation results and concludes by summarizing the current understanding of neutrino oscillations.
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Recent neutrino oscillation results from T2K
- 1. Son V. Cao -‐ Kyoto University (On behalf of the T2K collaboration ) Recent neutrino oscillation results from T2K 7/14/16 PASCOS 2016, Quy Nhon, VN ² Introduction to 𝜈 oscillations ² Introduction to T2K experiment ² T2K latest results ² Summary
- 2. Brief neutrino history 7/14/16 PASCOS 2016, Quy Nhon, VN 2 Credit to APS ² 1930: On-‐paper appearance as “desperate” remedy by W. Pauli ² 1956: first experimentally discovered by Reines and Cowan ² 1962: existence confirmed by Lederman et al. ² 1998: Atmospheric neutrino oscillations discovered by Super-‐K ² 2000: first evidence reported by DONUT experiment ² 2001: Solar neutrino oscillations detected by SNO (KamLAND 2002) ² 2011: transitions observed by OPERA ² 2011-‐13: by T2K, deficit observed by Daya Bay(2012) ² 2015: Nobel prizes for 𝜈 oscillations, Breakthrough prize (2016) ¯⌫e ⌫µ ⌫⌧ ⌫µ ! ⌫⌧ ⌫µ ! ⌫e ¯⌫e ! ¯⌫e 2015 T2K observe 𝜈 𝜇 à𝜈e appearance Nobel & Breakthrough for 𝜈 oscillations
- 3. Standard Model & neutrino oscillations 37/14/16 PASCOS 2016, Quy Nhon, VN Source: AAAS 0 @ ⌫e ⌫µ ⌫⌧ 1 A = 0 @ 1 0 0 0 c23 s23 0 s23 c23 1 A 0 @ c12 s12 0 s12 c12 0 0 0 1 1 A 0 @ c13 0 s13e i CP 0 1 0 s13ei CP 0 c13 1 A 0 @ ⌫1 ⌫2 ⌫3 1 APontecorvo (1957) Maki, Nakagawa Sakata (1962) Majorana (1937) Standard Model: ² Neutrinos interact through the weak interaction ² Lepton flavor is strictly conserved ² Neutrinos have zero mass Neutrino oscillations: ² Indicate massive neutrinos ² Mix flavor and mass eigenstates ² Beyond Standard Model Flavor eigenstates Mass eigenstates
- 4. Standard Model & neutrino oscillations Standard Model: ² Neutrinos interact through the weak interaction ² Lepton flavor is strictly conserved ² Neutrinos have zero mass Neutrino oscillations: ² Indicate massive neutrinos ² Mix flavor and mass eigenstates ² Beyond Standard Model 47/14/16 PASCOS 2016, Quy Nhon, VN Reactors / acceleratorSolar / reactors 0 @ ⌫e ⌫µ ⌫⌧ 1 A = 0 @ 1 0 0 0 c23 s23 0 s23 c23 1 A 0 @ c12 s12 0 s12 c12 0 0 0 1 1 A 0 @ c13 0 s13e i CP 0 1 0 s13ei CP 0 c13 1 A 0 @ ⌫1 ⌫2 ⌫3 1 A Source: AAAS cij = cos ✓ij, sij = sin ✓ij Atmospherics / Accelerators
- 5. Present neutrino oscillation landscape 7/14/16 PASCOS 2016, Quy Nhon, VN 5 Gonzalez-‐Garcia et al., arXiv:1512.06856 ⌫e ⌫µ ⌫⌧ Normal hierarchy Inverted hierarchy m2 lightest m2 lightest 0 @ ⌫e ⌫µ ⌫⌧ 1 A = 0 @ 1 0 0 0 c23 s23 0 s23 c23 1 A 0 @ c12 s12 0 s12 c12 0 0 0 1 1 A 0 @ c13 0 s13e i CP 0 1 0 s13ei CP 0 c13 1 A 0 @ ⌫1 ⌫2 ⌫3 1 A sign( m2 32) = ? ✓23 is maximal ? CP = ? mlightest = ? m2 32 m2 31 m2 21 m2 21 ⌫1 ⌫2 ⌫3 ⌫1 ⌫2 ⌫3 m2 21 = 7.50+0.19 0.17 ⇥ 10 5 eV2 m2 31 = 2.457+0.047 0.047 ⇥ 10 3 eV2 ✓13 = 8.50+0.20 0.21( ) ✓12 = 33.48+0.78 0.75( ) ✓23 = 42.3+3.0 1.6( ) m2 ij = m2 ⌫i m2 ⌫j Global fit – Normal hierarchy
- 6. T2K experiment 7/14/16 6PASCOS 2016, Quy Nhon, VN ² Long-‐baseline neutrino experiment, located in Japan ² Large collaboration: ~400 physicists from 61 institutes/ 11 nations ² Rich programs: standard neutrino oscillations (this talk), non-‐standard physics search (Phillip’s talk), neutrino interactions (David’s talk)
- 7. J-‐PARC neutrino beam line 7/14/16 ² High intensity, almost pure muon (anti) neutrino beam from J-‐PARC 7PASCOS 2016, Quy Nhon, VN ² 30 GeV p extracted from J-‐PARC main ring, impinge on 90-‐cm, graphite target ² Induced 𝜋+ (𝜋-‐) focused by three horns, pass through a 96-‐m decay pile ² Beam dump to stop all particles except neutrinos and high-‐energy muons ² Muon monitor, downstream of beam dump, to monitor beam intensity and direction by measuring induced muon profile. 1.9 ⇥ int
- 8. Beam power and data accumulation 7/14/16 PASCOS 2016, Quy Nhon, VN 8 !-mode POT: 7.57×1020 (50.14%) !-mode POT: 7.53×1020 (49.86%) 27 May 2016 POT total: 1.510×1021 2011 2012 2013 2014 2015 2016 ² Beam power steadily increased to 420 kW ² 1.5x1021 Protons-‐on-‐target (POT) accumulated. Data sample for results presented today: ² Neutrino-‐mode: 6.91x1020 POT ² Antineutrino-‐mode: 7.53x1020 POT (approx. 2 x 1st T2K antineutrino results)
- 9. Neutrino flux inference 7/14/16 ² High intensity, almost pure muon (anti) neutrino beam from J-‐PARC 9PASCOS 2016, Quy Nhon, VN ² To infer neutrino flux, knowledge of hadron production at target needed ² Constrained by external data from NA61/SHINE Flux uncertainty ~ 10% Neutrino mode Antineutrino mode < 1%(⌫e/⌫e) < 1%(⌫e/⌫e) T2K Far Detector T2K Far Detector T2K Far Detector T2K Far Detector (Beam modes changed by switching horn polarity)
- 10. Near Detectors 7/14/16 PASCOS 2016, Quy Nhon, VN 10 ² Near Detector complex is 280m downstream of target On-‐axis (called INGRID) Measure 𝜈 beam intensity & profile: 16 scintillator-‐steel interleaved modules (7.1 tons/each) Off-‐axis (called ND280) Understand unoscillated 𝜈 beam: further constrain flux and cross-‐ section parameters
- 11. Near Detectors measurements 11 Day [events/1e14POT] 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 Event rate Horn250kA Horn205kA Horn-250kA [mrad] 1− 0.5− 0 0.5 Horizontal beam direction INGRID MUMON Day [mrad] 1− 0.5− 0 0.5 1 Vertical beam direction INGRID MUMON T2K Run1 Jan.2010-Jun.2010 T2K Run2 Nov.2010-Mar.2011 T2K Run3 Mar.2012-Jun.2012 T2K Run4 Oct.2012-May.2013 T2K Run5 May.2014 -Jun.2014 T2K Run6 Oct.2014-June.2015 T2K Run7 Feb.2016-May.2016 7/14/16 PASCOS 2016, Quy Nhon, VN Operating stably Beam intensity/profile Constrain flux & 𝜈-‐int. model Prefit = No ND280 data Postfit = ND280 data included Cross-‐section parameters Off-‐axis neutrino energy strongly depend on beam direction (1mrad ~ 2% shift of peak energy) Data used as much as possible to constrain 𝜈-‐int. model
- 12. Far Detector, Super-‐Kamiokande 7/14/16 PASCOS 2016, Quy Nhon, VN 12 (GeV)νE 0 1 2 3 (A.U.)295km µνΦ 0 0.5 1 °OA 0.0 °OA 2.0 °OA 2.5 0 1 2 3 )eν→µνP( 0.05 0.1 = 0CP δNH, = 0CP δIH, /2π=CP δNH, /2π=CP δIH, 0 1 2 3 )µν→µνP( 0.5 1 = 1.023θ22 sin = 0.113θ22 sin 2 eV-3 10×= 2.432 2 m∆ Partice ID parameter -10 -8 -6 -4 -2 0 2 4 6 8 10 0 50 100 150 200 250 300 350 Super Kamiokande IV 2166.5 days : Monitoring e-like muon-like Numberofevents ² Muon and electron are well-‐separated à identify 𝜈 𝜇/𝜈$ with high purity ² Super-‐K is 2.50 off the beam’s axis to achieve narrow band beam peaked at oscillation maximum (0.6 GeV) (atmospheric 𝜈 data) Super-‐Kamiokande (41.4 m tall x 39.3m diameter) 22.5 ktons fiducial volume 1000m underground ⌫µ + n ! µ + p ⌫e + n ! e + p
- 13. Oscillation parameters extracted from T2K data 7/14/16 PASCOS 2016, Quy Nhon, VN 13 NH: Normal 𝜈 mass hierarchy IH: Inverted 𝜈 mass hierarchy *Reactor constraint used as prior if is applied sin2 2✓13 = 0.085 ± 0.005 Disappearance channel, sensitive to 𝜃23 & ∆ 𝑚() ) Appearance channel, sensitive to 𝜃13 & 𝛿CP ⌫µ candiate ⌫µ candiate ⌫e candiate ⌫e candiate
- 14. 7/14/16 PASCOS 2016, Quy Nhon, VN 14 *Reactor constraint used as prior if is applied sin2 2✓13 = 0.085 ± 0.005 Disappearance channel, sensitive to 𝜃23 & ∆ 𝑚() ) Appearance channel, sensitive to 𝜃13 & 𝛿CP ⌫µ candiate ⌫µ candiate ⌫e candiate ⌫e candiate ² Today result: All 𝜈/𝜈̅ samples are combined to extract oscillation parameters. The 𝜈 and 𝜈̅ are treated identically. ² Different approaches for statistical treatment: o Frequentist and Bayesian o Fit on reconstructed E 𝜈 or momentum/angle of induced leptons ² They agree with each other Oscillation parameters extracted from T2K data
- 15. Results: 𝜃23 & ∆ 𝑚() ) 7/14/16 PASCOS 2016, Quy Nhon, VN ² Since 2014, mainly taking data in 𝜈̅ mode (run 5-‐7) ² 𝜈 𝜇 disappearance behaves consistently w/ 𝜈, disappearance ² Result consistent with maximal mixing, the world’s highest precision 𝜃23 measurement ² Slightly favor normal mass hierarchy 15 Normal MH (𝛥𝝌2 best-‐fit=0.0) Inverted MH (𝛥𝝌2 best-‐fit=2.66) sin2 𝜃23 0.53245.565 75.588 0.53445.5:; 75.58< ∆𝑚() ) /104( (eV2) 2.54545.5?) 75.5?8 2.51045.5?( 75.5?) 𝜈: 6.91x1020 POT + 𝜈̅: 7.53x1020 POT T2K Run1-‐7b preliminary T2K Run1-‐7b preliminary
- 16. Results: 𝜃13 & 𝛿CP 7/14/16 PASCOS 2016, Quy Nhon, VN 16 T2K data only T2K data + reactor ² Shows for two cases: (i) T2K data only & (ii) T2K data w/ reactor constraint ² Mass hierarchy is fixed, either normal or inverted and compute independently ² Measured 𝜃13 w/ T2K data only (top plot) agrees with reactor measurement ² With reactor constraint, data exclude positive value of 𝛿CP at ~90% C.L.
- 17. Results: 𝛿CP 7/14/16 PASCOS 2016, Quy Nhon, VN 17 T2K + reactorObservation Sensitivity ² Slightly favor 𝛿CP = -‐ 𝜋/2 ² Measured 𝛥 𝝌2 is marginally different than the expected one ² It is due to difference btw/ observed data and expectation, specifically ² 𝜈$ appearance is larger than expected ² 𝜈$B “appearance” is smaller than expected
- 18. Summary 7/14/16 PASCOS 2016, Quy Nhon, VN ² Results with 𝜈/𝜈̅ combined data shown o Consistent with 𝜃23 maximal mixing o Slightly prefer normal mass hierarchy o Slightly favor 𝛿CP = -‐ 𝜋/2 𝛿CP = [-‐3.02, -‐0.49] (NH), [-‐1.87, -‐0.98] (IH) at 90% C.L. à More statistics are needed ² J-‐PARC beam power has steadily increased up to 420 kW ² Accumulated exposure of 1.5x1021 POT (~20% of T2K total approved running) Stay tuned for upcoming results from T2K 18
- 19. 7/14/16 PASCOS 2016, Quy Nhon, VN 19 Thank you! (Cảm ơn)
- 20. T2K Phase 2 proposal 7/14/16 PASCOS 2016, Quy Nhon, VN ² Approved T2K statistics, 7.8 x1021 POT, can be accumulated by JFY2020 ² Hyper-‐K and DUNE are expected to start around 2026 ² T2K Phase 2, if extended to JFY2026, collects ~ 20x1021 POT ² Neutrino beamlineupgrade & analysis improvements (SK fiducial volume, add new event sample) à Effectively add 50% statistics ² Reduction of systematic uncertainties to enhance CPV sensitivity 20 Number of events expected at T2K far detector with full proposed T2K Phase 2 exposure J-‐PARC Main Ring expected beam power & T2K Phase 2 accumulation scenario
- 21. T2K Phase 2 sensitivity to CPV 7/14/16 PASCOS 2016, Quy Nhon, VN 21 )21 Protons-on-Target (x10 0 5 10 15 20 =0CPδtoexcludesin2 χ∆ 0 5 10 15 =0.4323 θ2 True sin =0.5023 θ2 True sin =0.6023 θ2 True sin 90% C.L. 99% C.L. C.L.σ3 w/ eff. stat. improvements (no sys. errors) w/ eff. stat. & sys. improvements Work in Progress )°(CP δTrue 200− 100− 0 100 200 =0CPδtoexcludesin2 χ∆ 0 5 10 15 20 =0.4323θ2 True sin =0.5023θ2 True sin =0.6023θ2 True sin 90% C.L. 99% C.L. C.L.σ3 POT w/ eff. stat. & sys. improvements21 20x10 POT w/ 2016 sys. errs.21 7.8x10 Work in Progress CP = ⇡ 2 ² > 3 𝜎 significance sensitivity to CP violation if 𝛿CP= -‐ 𝜋/2 ² 99% C.L. significance for more than 45% of the possible true values of 𝛿CP ² 1% precision of 𝛥m2 23, 0.5o -‐ 1.7o precision of 𝜃23 depending on its true value, ~3𝜎 significance for resolving 𝜃23 octant if sin2 𝜃23 >0.6 or sin2 𝜃23 <0.43 23 θ2 sin 0.4 0.5 0.6 32 2 m∆ 2.2 2.4 2.6 2.8 3 3− 10× Current POT , 90% C.L POT, 90% C.L21 7.8x10 POT w/improvement, 90% C.L21 20x10 Stat. only Systematics Work in Progress True sin2 ✓23 = 0.6
- 22. Bayesian posterior probability 7/14/16 22 NSK/NSK NH IH Sum sin2θ23≤0.5 21.8% 7.2% 29.0% sin2θ23>0.5 53.9% 18.1% 71.0% Sum 74.7% 25.3% 100% Bayesian w/ MCMC (Erec) (Plep/𝜃lep) ² Prefer normal mass hierarchy and higher octant Bayesian w/ likelihood fit (Erec) PASCOS 2016, Quy Nhon, VN Frequentist (Erec for 𝜈 𝜇/𝜈, ) (Erec/ 𝜃lep for 𝜈$ /𝜈$B )
- 23. Backup: Data fit vs sensitivity 7/14/16 PASCOS 2016, Quy Nhon, VN 23 10k toys 10k toys ² Toy experiments at true values of 𝛿CP & MH generated to understand data fit outcomes ² Probability to exclude 𝛿CP = (0, 𝜋) is evaluated ² Data agree w/ 𝛿CP = -‐1.76 (~-‐𝜋/2), normal MH at 2 𝜎 level and probability to exclude 𝛿CP =0 is non-‐negligible (>8%) True: 𝛿CP = -‐1.76, normal MHTrue: 𝛿CP = 0, normal MH Prop. (%) to exclude True para. 𝛿CP = -‐1.76, NH True para. 𝛿CP = 0, NH 90% CL 2𝝈 90% CL 2𝝈 𝛿CP =0, NH 18.7 8.9 10.2 4.7 𝛿CP =𝜋, NH 16.3 6.8 13.4 6.5
- 24. Systematic error table 7/14/16 PASCOS 2016, Quy Nhon, VN 24 𝜈-‐mode (%) 𝝂B-‐mode (%) 𝜇-‐like e-‐like 𝜇-‐like e-‐like Flux 3.59 3.67 3.68 3.78 𝜈 int. 4.10 5.20 5.43 3.78 SK det. 4.15 3.50 3.94 3.97 Osc. par. 0.03 4.16 0.03 4.00 Pre fit 11.9 12.6 12.7 14.3 Post fit 5.13 6.80 5.12 7.41 NSK/NSK
- 25. 90% range of 𝛿CP 7/14/16 PASCOS 2016, Quy Nhon, VN 25 NSK/NSK Fit with DataSensitivity
- 26. Data fit vs sensitivity 7/14/16 PASCOS 2016, Quy Nhon, VN 26
- 27. Results: 𝜃13 & 𝛿CP 7/14/16 PASCOS 2016, Quy Nhon, VN 27 T2K + reactor Sensitivity T2K data only Observation ²Agree w/ reactor ²Marginally differ from expectation (next slides) CP = 1.601, sin2 ✓13 = 0.0217, sin2 ✓23 = 0.528, m2 32 = 2.509 ⇥ 10 3 eV 2 /c4 Assume (PDG 2015):
- 28. BANFF: flux RHC 7/14/16 PASCOS 2016, Quy Nhon, VN ² 15% increase 28 (GeV)νE -1 10 1 10 FluxParameterValue 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 Prior to ND280 Constraint After ND280 Constraint beam modeν,eνND280 (GeV)νE -1 10 1 10 FluxParameterValue 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 Prior to ND280 Constraint After ND280 Constraint beam modeν,eνND280 (GeV)νE -1 10 1 10 FluxParameterValue 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 Prior to ND280 Constraint After ND280 Constraint beam modeν,µνND280 (GeV)νE -1 10 1 10 FluxParameterValue 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 Prior to ND280 Constraint After ND280 Constraint beam modeν,µνND280
- 29. Neutrino oscillations ² Now well-‐understood phenomenon ² Quantum mechanical mixing between mass and flavor eigenstates |⌫↵(0)i = U↵i|⌫i(0)i ↵ = e, µ, ⌧ i = 1, 2, 3 |⌫ (t)i = U j|⌫j(t)i = e, µ, ⌧ j = 1, 2, 3 |⌫↵(0)i |⌫ (t)i U⇤ ↵i U j e mit Credit to Boris K. 297/14/16 PASCOS 2016, Quy Nhon, VN
- 30. Neutrino oscillations Probability (in vacuum): * Abbreviated after Pontecorvo, Maki, Nakagawa, Sakata UPMNS = 0 @ 1 0 0 0 c23 s23 0 s23 c23 1 A 0 @ c13 0 s13e i CP 0 1 0 s13ei CP 0 c13 1 A 0 @ c12 s12 0 s12 c12 0 0 0 1 1 A Atmospherics / Accelerators Reactors / accelerator Solar neutrino / reactors 307/14/16 PASCOS 2016, Quy Nhon, VN P⌫↵!⌫ (t) =|h⌫ |⌫↵(t)i|2 = ↵ 4 X i>j <(U⇤ ↵iU iU↵jU⇤ j) sin2 ( m2 ijL 4E ) + 2 X i>j =(U⇤ ↵iU iU↵jU⇤ j) sin( m2 ijL 4E ), Non-‐zero
- 31. T2K off-‐axis detector: ND280 7/14/16 PASCOS 2016, Quy Nhon, VN Aim to understand unoscillated 𝜈 beam: constrains flux and cross-‐section parameters ² Tracker, composed of Fine-‐Grained Detector (FGD) and Time Projection Chamber (TPC), is central part o Two FGDs: active target w/ scintillator only (FGD1) or scintillator-‐water interleaved (FGD2) o Three TPCs: mainly Argon (95%) filled, for momentum measurement and particle ID ² 𝜋0 detector (POD) for water-‐scintillator target and 𝜋0 tagging ² Electromagnetic calorimeters (ECal) to detect gamma rays and reconstruct 𝜋0 ² Side muon range detectors (SMRD) to tag entering cosmic muons or side-‐exiting muons Key features for cross-‐section: o Narrow flux spectrum , mean ~ 0.85 GeV o Multiple targets: scintillator, water, argon, lead o High final state ID resolution, charge separation 31 ~B 0.2 T
- 32. Pre-‐fit: muon momentum 7/14/16 PASCOS 2016, Quy Nhon, VN 32 Muon momentum (MeV/c) 0 500 1000 1500 2000 2500 3000 3500 4000 4500 5000 Events/(100MeV/c) 0 500 1000 1500 2000 2500 Data CCQEν CC 2p-2hν πCC Res 1ν πCC Coh 1ν CC Otherν NC modesν modesν FGD1, nu, CC0pi Muon momentum (MeV/c) 0 500 1000 1500 2000 2500 3000 3500 4000 4500 5000 Events/(100MeV/c) 0 50 100 150 200 250 300 350 400 Data CCQEν CC 2p-2hν πCC Res 1ν πCC Coh 1ν CC Otherν NC modesν modesν FGD1, nu, CC1pi Muon momentum (MeV/c) 0 500 1000 1500 2000 2500 3000 3500 4000 4500 5000 Events/(100MeV/c) 0 50 100 150 200 250 Data CCQEν CC 2p-2hν πCC Res 1ν πCC Coh 1ν CC Otherν NC modesν modesν FGD1, nu, CCres Muon momentum (MeV/c) 0 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000 Events/(100MeV/c) 0 50 100 150 200 250 Data CCQEν non-CCQEν CCQEν non-CCQEν FGD1, Antinu, CC1trk Muon momentum (MeV/c) 0 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000 Events/(100MeV/c) 0 5 10 15 20 25 30 35 40 Data CCQEν non-CCQEν CCQEν non-CCQEν FGD1, Antinu, CCNtrk Muon momentum (MeV/c) 0 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000 Events/(100MeV/c) 0 10 20 30 40 50 60 Data CCQEν non-CCQEν CCQEν non-CCQEν FGD1, nu, CC1trk Muon momentum (MeV/c) 0 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000 Events/(100MeV/c) 0 5 10 15 20 25 30 35 40 Data CCQEν non-CCQEν CCQEν non-CCQEν FGD1, nu, CCNtrk
- 33. Post-‐fit: muon momentum 7/14/16 PASCOS 2016, Quy Nhon, VN 33 Muon momentum (MeV/c) 0 500 1000 1500 2000 2500 3000 3500 4000 4500 5000 Events/(100MeV/c) 0 500 1000 1500 2000 2500 Data CCQEν CC 2p-2hν πCC Res 1ν πCC Coh 1ν CC Otherν NC modesν modesν FGD1, nu, CC0pi Muon momentum (MeV/c) 0 500 1000 1500 2000 2500 3000 3500 4000 4500 5000 Events/(100MeV/c) 0 50 100 150 200 250 300 350 400 Data CCQEν CC 2p-2hν πCC Res 1ν πCC Coh 1ν CC Otherν NC modesν modesν FGD1, nu, CC1pi Muon momentum (MeV/c) 0 500 1000 1500 2000 2500 3000 3500 4000 4500 5000 Events/(100MeV/c) 0 50 100 150 200 250 Data CCQEν CC 2p-2hν πCC Res 1ν πCC Coh 1ν CC Otherν NC modesν modesν FGD1, nu, CCres Muon momentum (MeV/c) 0 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000 Events/(100MeV/c) 0 50 100 150 200 250 Data CCQEν non-CCQEν CCQEν non-CCQEν FGD1, Antinu, CC1trk Muon momentum (MeV/c) 0 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000 Events/(100MeV/c) 0 5 10 15 20 25 30 35 40 Data CCQEν non-CCQEν CCQEν non-CCQEν FGD1, Antinu, CCNtrk Muon momentum (MeV/c) 0 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000 Events/(100MeV/c) 0 10 20 30 40 50 60 Data CCQEν non-CCQEν CCQEν non-CCQEν FGD1, nu, CC1trk Muon momentum (MeV/c) 0 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000 Events/(100MeV/c) 0 5 10 15 20 25 30 35 40 Data CCQEν non-CCQEν CCQEν non-CCQEν FGD1, nu, CCNtrk
- 34. Pre-‐fit: muon angle 7/14/16 PASCOS 2016, Quy Nhon, VN ² 2x3 sample for neutrinos (FGD1,2) ² 2x4 sample for anti-‐ neutrinos (FGD1,2) 34 θMuon cos 0.8 0.82 0.84 0.86 0.88 0.9 0.92 0.94 0.96 0.98 1 Events/(0.01) 0 50 100 150 200 250 Data CCQEν non-CCQEν CCQEν non-CCQEν FGD1, Antinu, CC1trk θMuon cos 0.8 0.82 0.84 0.86 0.88 0.9 0.92 0.94 0.96 0.98 1 Events/(0.01) 0 50 100 150 200 250 Data CCQEν non-CCQEν CCQEν non-CCQEν FGD1, Antinu, CCNtrk θMuon cos 0.6 0.65 0.7 0.75 0.8 0.85 0.9 0.95 1 Events/(0.01) 0 200 400 600 800 1000 1200 1400 1600 Data CCQEν CC 2p-2hν πCC Res 1ν πCC Coh 1ν CC Otherν NC modesν modesν FGD1, nu, CC0pi θMuon cos 0.6 0.65 0.7 0.75 0.8 0.85 0.9 0.95 1 Events/(0.01) 0 100 200 300 400 500 Data CCQEν CC 2p-2hν πCC Res 1ν πCC Coh 1ν CC Otherν NC modesν modesν FGD1, nu, CC1pi θMuon cos 0.6 0.65 0.7 0.75 0.8 0.85 0.9 0.95 1 Events/(0.01) 0 100 200 300 400 500 Data CCQEν CC 2p-2hν πCC Res 1ν πCC Coh 1ν CC Otherν NC modesν modesν FGD1, nu, CCres θMuon cos 0.8 0.82 0.84 0.86 0.88 0.9 0.92 0.94 0.96 0.98 1 Events/(0.01) 0 20 40 60 80 100 120 140 160 Data CCQEν non-CCQEν CCQEν non-CCQEν θMuon cos 0.8 0.82 0.84 0.86 0.88 0.9 0.92 0.94 0.96 0.98 1 Events/(0.01) 0 20 40 60 80 100 120 140 Data CCQEν non-CCQEν CCQEν non-CCQEν FGD1, nu, CC1trk FGD1, nu, CCNtrk
- 35. Post-‐fit: muon angle 7/14/16 PASCOS 2016, Quy Nhon, VN 35 θMuon cos 0.8 0.82 0.84 0.86 0.88 0.9 0.92 0.94 0.96 0.98 1 Events/(0.01) 0 50 100 150 200 250 Data CCQEν non-CCQEν CCQEν non-CCQEν FGD1, Antinu, CC1trk θMuon cos 0.8 0.82 0.84 0.86 0.88 0.9 0.92 0.94 0.96 0.98 1 Events/(0.01) 0 50 100 150 200 250 Data CCQEν non-CCQEν CCQEν non-CCQEν FGD1, Antinu, CCNtrk θMuon cos 0.6 0.65 0.7 0.75 0.8 0.85 0.9 0.95 1 Events/(0.01) 0 200 400 600 800 1000 1200 1400 1600 Data CCQEν CC 2p-2hν πCC Res 1ν πCC Coh 1ν CC Otherν NC modesν modesν FGD1, nu, CC0pi θMuon cos 0.6 0.65 0.7 0.75 0.8 0.85 0.9 0.95 1 Events/(0.01) 0 100 200 300 400 500 Data CCQEν CC 2p-2hν πCC Res 1ν πCC Coh 1ν CC Otherν NC modesν modesν FGD1, nu, CC1pi θMuon cos 0.6 0.65 0.7 0.75 0.8 0.85 0.9 0.95 1 Events/(0.01) 0 100 200 300 400 500 Data CCQEν CC 2p-2hν πCC Res 1ν πCC Coh 1ν CC Otherν NC modesν modesν FGD1, nu, CCres θMuon cos 0.8 0.82 0.84 0.86 0.88 0.9 0.92 0.94 0.96 0.98 1 Events/(0.01) 0 20 40 60 80 100 120 140 160 Data CCQEν non-CCQEν CCQEν non-CCQEν θMuon cos 0.8 0.82 0.84 0.86 0.88 0.9 0.92 0.94 0.96 0.98 1 Events/(0.01) 0 20 40 60 80 100 120 140 Data CCQEν non-CCQEν CCQEν non-CCQEν FGD1, nu, CC1trk FGD1, nu, CCNtrk ² 2x3 sample for neutrinos (FGD1,2) ² 2x4 sample for anti-‐ neutrinos (FGD1,2)