recent neutrino oscillation results from t2k

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

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. Pauli² 1956: first experimentally discovered by Reines and Cowan² 1962: existence confirmed by Lederman et al. ² 1998: Atmospheric neutrino oscillations discovered by Super-‐K² 2000: first evidence reported by DONUT experiment² 2001: Solar neutrino oscillations detected by SNO (KamLAND 2002)² 2011: transitions observed by OPERA² 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 𝜈𝜇à𝜈eappearance

Nobel & Breakthroughfor 𝜈 oscillations

Standard Model & neutrino oscillations


Source: AAAS

0

@⌫e⌫µ⌫⌧

1

A =

0

@1 0 00 c23 s230 �s23 c23

1

A

0

@c12 s12 0�s12 c12 00 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,NakagawaSakata(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

Standard Model & neutrino oscillationsStandard 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


Reactors / acceleratorSolar / reactors

0

@⌫e⌫µ⌫⌧

1

A =

0

@1 0 00 c23 s230 �s23 c23

1

A

0

@c12 s12 0�s12 c12 00 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

Present neutrino oscillation landscape


Gonzalez-‐Garcia et al., arXiv:1512.06856 ⌫e ⌫µ ⌫⌧

Normal hierarchy Inverted hierarchy

m2lightest m2

lightest

0

@⌫e⌫µ⌫⌧

1

A =

0

@1 0 00 c23 s230 �s23 c23

1

A

0

@c12 s12 0�s12 c12 00 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(�m232) = ?

✓23 is maximal ?

�CP = ?

mlightest = ?

�m232

�m231

�m221

�m221

⌫1

⌫2

⌫3

⌫1

⌫2

⌫3

�m221 = 7.50+0.19

�0.17 ⇥ 10�5eV2

�m231 = 2.457+0.047

�0.047 ⇥ 10�3eV2

✓13 = 8.50+0.20�0.21(

�)

✓12 = 33.48+0.78�0.75(

�)

✓23 = 42.3+3.0�1.6(

�)

�m2ij = m2

⌫i�m2

⌫j

Global fit – Normal hierarchy

T2K experiment

7/14/16 6PASCOS 2016, Quy Nhon, VN

² Long-‐baseline neutrino experiment, located in Japan² Large collaboration: ~400 physicists from 61 institutes/ 11 nations² Rich programs: standard neutrino oscillations (this talk), non-‐standard

physics search (Phillip’s talk), neutrino interactions (David’s talk)

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 pile² Beam dump to stop all particles except neutrinos and high-‐energy muons² Muon monitor, downstream of beam dump, to monitor beam intensity and direction by

measuring induced muon profile.

1.9⇥ �int

Beam power and data accumulation


!-mode POT: 7.57×1020 (50.14%) !-mode POT: 7.53×1020 (49.86%)

27 May 2016POT total: 1.510×1021

2011 2012 2013 2014 2015 2016

² Beam power steadily increased to 420 kW² 1.5x1021 Protons-‐on-‐target (POT) accumulated. Data sample for

results presented today:² Neutrino-‐mode: 6.91x1020 POT² Antineutrino-‐mode: 7.53x1020 POT (approx. 2 x 1st T2K antineutrino results)

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)

Near Detectors


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

Near Detectors measurements

11

Day

[eve

nts/

1e14

POT

]

0.40.60.8

11.21.41.61.8

Event rateHorn250kAHorn205kAHorn-250kA

[mra

d]

1−

0.5−

0

0.5Horizontal beam direction INGRID

MUMON

Day

[mra

d]

1−

0.5−

0

0.5

1Vertical beam direction INGRID

MUMON

T2K Run1Jan.2010-Jun.2010

T2K Run2Nov.2010-Mar.2011

T2K Run3Mar.2012-Jun.2012

T2K Run4Oct.2012-May.2013

T2K Run5May.2014-Jun.2014

T2K Run6Oct.2014-June.2015

T2K Run7Feb.2016-May.2016


Operating stably

Beam intensity/profile

Constrain flux

& 𝜈-‐int. model

Prefit = No ND280 dataPostfit = ND280 data included

Cross-‐section parameters

Off-‐axis neutrino energy strongly depend on beamdirection (1mrad ~ 2% shift of peak energy)

Data used as much as possibleto constrain 𝜈-‐int. model

Far Detector, Super-‐Kamiokande


(GeV)νE0 1 2 3

(A.U

.)29

5km

µν

Φ

0

0.5

1 °OA 0.0°OA 2.0°OA 2.5

0 1 2 3

) eν →µν

P(

0.05

0.1 = 0CPδNH, = 0CPδIH,

/2π = CPδNH, /2π = CPδIH,

0 1 2 3

)µν

→µν

P(

0.5

1

= 1.023θ22sin = 0.113θ22sin

2 eV-3 10× = 2.4 322m∆

Partice ID parameter-10 -8 -6 -4 -2 0 2 4 6 8 100

50

100

150

200

250

300

350

Super Kamiokande IV 2166.5 days : Monitoring

e-like muon-like

Num

ber o

f eve

nts

² Muon and electron are well-‐separatedà identify 𝜈𝜇/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

Oscillation parameters extracted from T2K data


NH: Normal 𝜈 mass hierarchyIH: Inverted 𝜈 mass hierarchy

*Reactor constraint used as prior if is appliedsin2 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


*Reactor constraint used as prior if is appliedsin2 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/�̅� samples are combined to extract oscillation parameters. The 𝜈 and �̅� are treated identically.

² Different approaches for statistical treatment:o Frequentist and Bayesiano Fit on reconstructed E𝜈 or momentum/angle

of induced leptons² They agree with each other

Oscillation parameters extracted from T2K data

Results: 𝜃23 & ∆𝑚())


² Since 2014, mainly taking data in �̅� mode (run 5-‐7)

² 𝜈𝜇 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)InvertedMH

(𝛥𝝌2best-‐fit=2.66)

sin2𝜃23 0.53245.56575.588 0.53445.5:;75.58<

∆𝑚())

/104((eV2) 2.54545.5?)75.5?8 2.51045.5?(75.5?)

𝜈: 6.91x1020 POT + �̅�: 7.53x1020 POT

T2K Run1-‐7b preliminary

T2K Run1-‐7b preliminary

Results: 𝜃13 & 𝛿CP


T2K data only

T2K data + reactor

² Shows for two cases: (i) T2K data only & (ii) T2K data w/ reactor constraint

²Mass hierarchy is fixed, either normal or inverted and compute independently

²Measured 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.

Results: 𝛿CP


T2K + reactorObservation

Sensitivity

² Slightly favor 𝛿CP = -‐𝜋/2² Measured 𝛥𝝌2 is marginally different than

the expected one² It is due to difference btw/ observed data

and expectation, specifically² 𝜈$ appearance is larger than expected² 𝜈$B “appearance” is smaller than expected

Summary


² Results with 𝜈/�̅� combined data showno Consistent with 𝜃23 maximal mixing o Slightly prefer normal mass hierarchyo Slightly favor 𝛿CP = -‐𝜋/2

𝛿CP = [-‐3.02, -‐0.49] (NH), [-‐1.87, -‐0.98] (IH) at 90% C.L.

àMore 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


Thank you!(Cảm ơn)

T2K Phase 2 proposal


² Approved T2K statistics, 7.8 x1021POT, 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 fiducialvolume, 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

T2K Phase 2 sensitivity to CPV


)21Protons-on-Target (x100 5 10 15 20

=0C

Pδ

to e

xclu

de s

in2 χ

∆

0

5

10

15 =0.4323θ2True sin

=0.5023θ2True sin

=0.6023θ2True sin

90% C.L.

99% C.L.

C.L.σ 3

w/ eff. stat. improvements (no sys. errors)

w/ eff. stat. & sys. improvements

Work in Progress

)°(CPδTrue 200− 100− 0 100 200

=0C

Pδ

to e

xclu

de s

in2 χ

∆

0

5

10

15

20

=0.4323θ2True sin=0.5023θ2True sin=0.6023θ2True sin

90% C.L.

99% C.L.

C.L.σ 3

POT w/ eff. stat. & sys. improvements2120x10 POT w/ 2016 sys. errs.217.8x10

Work in Progress

�CP = �⇡

2

² > 3𝜎 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 𝛥m223, 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

23θ2sin0.4 0.5 0.6

322 m

∆

2.2

2.4

2.6

2.8

33−10×

Current POT , 90% C.L

POT, 90% C.L217.8x10

POT w/improvement, 90% C.L2120x10

Stat. onlySystematics

Work in Progress

True sin2 ✓23 = 0.6

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 𝜈𝜇/𝜈, )(Erec/ 𝜃lep for 𝜈$/𝜈$B )

Backup: Data fit vs sensitivity


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 2𝜎 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 2𝝈𝛿CP =0, NH 18.7 8.9 10.2 4.7

𝛿CP =𝜋, NH 16.3 6.8 13.4 6.5

Systematic error table


𝜈-‐mode (%) 𝝂B-‐mode (%)𝜇-‐like e-‐like 𝜇-‐like e-‐like

Flux 3.59 3.67 3.68 3.78𝜈 int. 4.10 5.20 5.43 3.78SK det. 4.15 3.50 3.94 3.97Osc. par. 0.03 4.16 0.03 4.00Pre fit 11.9 12.6 12.7 14.3Post fit 5.13 6.80 5.12 7.41

�NSK/NSK

90% range of 𝛿CP


�NSK/NSK

Fit with DataSensitivity

Data fit vs sensitivity


Results: 𝜃13 & 𝛿CP


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,

�m232 = 2.509⇥ 10�3eV 2/c4

Assume (PDG 2015):

BANFF: flux RHC


² 15% increase

28

(GeV)νE-110 1 10

Flux

Par

amet

er V

alue

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-110 1 10

Flux

Par

amet

er V

alue

0.6

0.7

0.8

0.9

1

1.1

1.2

1.3

1.4



beam modeν, eνND280

(GeV)νE-110 1 10

Flux

Par

amet

er V

alue

0.6

0.7

0.8

0.9

1

1.1

1.2

1.3

1.4



beam modeν, µνND280

(GeV)νE-110 1 10

Flux

Par

amet

er V

alue

0.6

0.7

0.8

0.9

1

1.1

1.2

1.3

1.4



beam modeν, µνND280

Neutrino oscillationsProbability (in vacuum):

* Abbreviated after Pontecorvo, Maki, Nakagawa, Sakata

UPMNS =

0

@1 0 00 c23 s230 �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 00 0 1

1

A

Atmospherics / Accelerators Reactors / accelerator Solar neutrino / reactors


P⌫↵!⌫� (t) =|h⌫� |⌫↵(t)i|2

=�↵� � 4X

i>j

<(U⇤↵iU�iU↵jU

⇤�j) sin

2(�m2

ijL

4E)

+ 2X

i>j

=(U⇤↵iU�iU↵jU

⇤�j) sin(

�m2ijL

4E),

Non-‐zero

T2K off-‐axis detector: ND280


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 parto 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 GeVo Multiple targets: scintillator, water, argon, leado High final state ID resolution, charge separation

31

~B

0.2 T

Pre-‐fit: muon momentum


Muon momentum (MeV/c)0 500 1000 1500 2000 2500 3000 3500 4000 4500 5000

Even

ts/(1

00 M

eV/c

)

0

500

1000

1500

2000

2500Data

CCQEν

CC 2p-2hν

π CC Res 1ν

π CC Coh 1ν

CC Otherν

NC modesν

modesν

FGD1,nu, CC0pi


Even

ts/(1

00 M

eV/c

)

0

50

100

150

200

250

300

350

400Data

CCQEν

CC 2p-2hν

π CC Res 1ν

π CC Coh 1ν

CC Otherν

NC modesν

modesν

FGD1,nu, CC1pi


Even

ts/(1

00 M

eV/c

)

0

50

100

150

200

250Data

CCQEν

CC 2p-2hν

π CC Res 1ν

π CC Coh 1ν

CC Otherν

NC modesν

modesν

FGD1,nu, CCres


Even

ts/(1

00 M

eV/c

)

0

50

100

150

200

250

Data

CCQEν

non-CCQEν

CCQEν

non-CCQEν

FGD1,Antinu, CC1trk


Even

ts/(1

00 M

eV/c

)

0

5

10

15

20

25

30

35

40Data

CCQEν

non-CCQEν

CCQEν

non-CCQEν

FGD1,Antinu, CCNtrk


Even

ts/(1

00 M

eV/c

)

0

10

20

30

40

50

60

Data

CCQEν

non-CCQEν

CCQEν

non-CCQEν

FGD1,nu, CC1trk


Even

ts/(1

00 M

eV/c

)

0

5

10

15

20

25

30

35

40Data

CCQEν

non-CCQEν

CCQEν

non-CCQEν

FGD1,nu, CCNtrk

Post-‐fit: muon momentum



Even

ts/(1

00 M

eV/c

)

0

500

1000

1500

2000

2500Data

CCQEν

CC 2p-2hν

π CC Res 1ν

π CC Coh 1ν

CC Otherν

NC modesν

modesν

FGD1,nu, CC0pi


Even

ts/(1

00 M

eV/c

)

0

50

100

150

200

250

300

350

400Data

CCQEν

CC 2p-2hν

π CC Res 1ν

π CC Coh 1ν

CC Otherν

NC modesν

modesν

FGD1,nu, CC1pi


Even

ts/(1

00 M

eV/c

)

0

50

100

150

200

250Data

CCQEν

CC 2p-2hν

π CC Res 1ν

π CC Coh 1ν

CC Otherν

NC modesν

modesν

FGD1,nu, CCres


Even

ts/(1

00 M

eV/c

)

0

50

100

150

200

250

Data

CCQEν

non-CCQEν

CCQEν

non-CCQEν

FGD1,Antinu, CC1trk


Even

ts/(1

00 M

eV/c

)

0

5

10

15

20

25

30

35

40Data

CCQEν

non-CCQEν

CCQEν

non-CCQEν

FGD1,Antinu, CCNtrk


Even

ts/(1

00 M

eV/c

)

0

10

20

30

40

50

60

Data

CCQEν

non-CCQEν

CCQEν

non-CCQEν

FGD1,nu, CC1trk


Even

ts/(1

00 M

eV/c

)

0

5

10

15

20

25

30

35

40Data

CCQEν

non-CCQEν

CCQEν

non-CCQEν

FGD1,nu, CCNtrk

Pre-‐fit: muon angle


² 2x3 sample for neutrinos (FGD1,2)

² 2x4 sample for anti-‐neutrinos (FGD1,2)

34

θMuon cos0.8 0.82 0.84 0.86 0.88 0.9 0.92 0.94 0.96 0.98 1

Even

ts/(0

.01)

0

50

100

150

200

250Data

CCQEν

non-CCQEν

CCQEν

non-CCQEν

FGD1,Antinu, CC1trk

θMuon cos0.8 0.82 0.84 0.86 0.88 0.9 0.92 0.94 0.96 0.98 1

Even

ts/(0

.01)

0

50

100

150

200

250Data

CCQEν

non-CCQEν

CCQEν

non-CCQEν

FGD1,Antinu, CCNtrk

θMuon cos0.6 0.65 0.7 0.75 0.8 0.85 0.9 0.95 1

Even

ts/(0

.01)

0

200

400

600

800

1000

1200

1400

1600 Data CCQEν

CC 2p-2hν

π CC Res 1ν

π CC Coh 1ν

CC Otherν

NC modesν

modesν

FGD1,nu, CC0pi

θMuon cos0.6 0.65 0.7 0.75 0.8 0.85 0.9 0.95 1

Even

ts/(0

.01)

0

100

200

300

400

500Data CCQEν

CC 2p-2hν

π CC Res 1ν

π CC Coh 1ν

CC Otherν

NC modesν

modesν

FGD1,nu, CC1pi

θMuon cos0.6 0.65 0.7 0.75 0.8 0.85 0.9 0.95 1

Even

ts/(0

.01)

0

100

200

300

400

500

Data CCQEν

CC 2p-2hν

π CC Res 1ν

π CC Coh 1ν

CC Otherν

NC modesν

modesν

FGD1,nu, CCres

θMuon cos0.8 0.82 0.84 0.86 0.88 0.9 0.92 0.94 0.96 0.98 1

Even

ts/(0

.01)

0

20

40

60

80

100

120

140

160 Data

CCQEν

non-CCQEν

CCQEν

non-CCQEν

θMuon cos0.8 0.82 0.84 0.86 0.88 0.9 0.92 0.94 0.96 0.98 1

Even

ts/(0

.01)

0

20

40

60

80

100

120

140Data

CCQEν

non-CCQEν

CCQEν

non-CCQEν

FGD1,nu, CC1trk

FGD1,nu, CCNtrk

Post-‐fit: muon angle


θMuon cos0.8 0.82 0.84 0.86 0.88 0.9 0.92 0.94 0.96 0.98 1

Even

ts/(0

.01)

0

50

100

150

200

250Data

CCQEν

non-CCQEν

CCQEν

non-CCQEν

FGD1,Antinu, CC1trk

θMuon cos0.8 0.82 0.84 0.86 0.88 0.9 0.92 0.94 0.96 0.98 1

Even

ts/(0

.01)

0

50

100

150

200

250Data

CCQEν

non-CCQEν

CCQEν

non-CCQEν

FGD1,Antinu, CCNtrk

θMuon cos0.6 0.65 0.7 0.75 0.8 0.85 0.9 0.95 1

Even

ts/(0

.01)

0

200

400

600

800

1000

1200

1400

1600 Data CCQEν

CC 2p-2hν

π CC Res 1ν

π CC Coh 1ν

CC Otherν

NC modesν

modesν

FGD1,nu, CC0pi

θMuon cos0.6 0.65 0.7 0.75 0.8 0.85 0.9 0.95 1

Even

ts/(0

.01)

0

100

200

300

400

500Data CCQEν

CC 2p-2hν

π CC Res 1ν

π CC Coh 1ν

CC Otherν

NC modesν

modesν

FGD1,nu, CC1pi

θMuon cos0.6 0.65 0.7 0.75 0.8 0.85 0.9 0.95 1

Even

ts/(0

.01)

0

100

200

300

400

500

Data CCQEν

CC 2p-2hν

π CC Res 1ν

π CC Coh 1ν

CC Otherν

NC modesν

modesν

FGD1,nu, CCres

θMuon cos0.8 0.82 0.84 0.86 0.88 0.9 0.92 0.94 0.96 0.98 1

Even

ts/(0

.01)

0

20

40

60

80

100

120

140

160 Data

CCQEν

non-CCQEν

CCQEν

non-CCQEν

θMuon cos0.8 0.82 0.84 0.86 0.88 0.9 0.92 0.94 0.96 0.98 1

Even

ts/(0

.01)

0

20

40

60

80

100

120

140Data

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)

recent neutrino oscillation results from t2k

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