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Neutrino Shadow Play

Xianguo LU/ 卢显国 University of OxfordHEP Seminar, UCAS

Beijing, 7 September 2017

皮影 Shadow playSource: http://www.cnhubei.com/ztmjys-pyts

2

Outline

1. Understanding matter-antimatter asymmetry with neutrinos

2. Nuclear effects in neutrino-nucleus interactions

3. Measuring neutrino interactions

4. A neutrino shadow play

Act One: Neutrino energy independent measurement of nuclear effects

Act Two: Nuclear effect independent measurement of neutrino energy spectra

5. Summary

3

planetxnews.com

NASA /WMAP

Matter-antimatter symmetric

Cosmic Microwave

Early Universe

“Present”Time

4

Matter-antimatter asymmetric

Cosmic Microwave Background

Early Universe

“Present”Time

NASA /WMAP

planetxnews.com

5NASA-HQ-GRIN NGC 4414

Material World Antimaterial World

Matter-antimatter asymmetric

Early Universe

“Present”Time

planetxnews.com

6

Matter-antimatter asymmetricSakharov Conditions:Sakharov Conditions:Baryon number violationC- and CP-symmetry Violation (CPV)Interactions out of thermal equilibrium

Early Universe

Material World Antimaterial World“Present”

Time

NASA-HQ-GRIN NGC 4414

planetxnews.com

7

Matter-antimatter asymmetricSakharov Conditions:Baryon number violationC- and CP-symmetry Violation (CPV)Interactions out of thermal equilibrium

Early Universe

Material World

p

n

“Present”Time

NASA-HQ-GRIN NGC 4414

By Rainer Klute/Arpad Horvath/MissMJ FNAL

planetxnews.com

8

n

p

By Rainer Klute/Arpad Horvath/MissMJ FNAL

9

n

p

Quarkonic CPV insufficient

Leptonic CPV (LCPV) unknown

By Rainer Klute/Arpad Horvath/MissMJ FNAL

10

νµ ν

µ

νµ ν

µ

νµ ν

µ

νµ ν

e

νµ ν

e

νµ ν

µ

νµ ν

µ

νµ ν

µ

νµ ν

e

νµ ν

e

Leptonic CP Symmetry

νµ ν

µ

νµ ν

µ

νµ ν

µ

νµ ν

µ

νµ ν

e

νµ ν

µ

νµ ν

µ

νµ ν

e

νµ ν

e

νµ ν

e

LCPV

Material World Antimaterial World

*no matter effect

11

Material World Antimaterial World

Accelerator

Detector

Rev.Mod.Phys. 84 (2012) 1307

νµ ν

µ ν

e

12

Neutrino Oscillations

PMNS matrixPontecorvo–Maki–Nakagawa–Sakata

13

Neutrino Oscillations

PMNS matrix

θij ≠ 0, δ

CP-phase irreducible → leptonic CP violation

14

Neutrino Oscillations

PMNS matrix

θij ≠ 0, δ

CP-phase irreducible → leptonic CP violation

With a νµ beam

“CP-odd term” in appearance channels allow extraction of δCP

using

neutrino and anti-neutrino beams, up to ±30% effect at T2K – unique opportunities with accelerator neutrinos

Neutrino (flavor) oscillations depend on mixing angles, δCP

-phase and mass differences.

PMNS matrix

* neglecting matter effects

15

Neutrino Oscillations

PMNS matrix

θij ≠ 0, δ

CP-phase irreducible → leptonic CP violation

With a νµ beam

Neutrino (flavor) oscillations depend on mixing angles, δCP

-phase and mass differences.

PMNS matrix

CP-odd term in appearance channels allow extraction of δCP

using neutrino

and anti-neutrino beams, up to ±30% effect at T2K – unique opportunities with accelerator neutrinos

by CPT symmetry

flip sign

* neglecting matter effects

16

Neutrino Oscillations

PMNS matrix

θij ≠ 0, δ

CP-phase irreducible → leptonic CP violation

With a νµ beam

Neutrino (flavor) oscillations depend on mixing angles, δCP

-phase and mass differences.

PMNS matrix

flip sign

by CPT symmetry

CP-odd term in appearance channels allow extraction of δCP

using neutrino

and anti-neutrino beams, up to ±30% effect at T2K – unique opportunities for experiments with accelerator neutrinos

solar + KamLAND et al.

* neglecting matter effects

17

The T2K Experiment

Diagram by Kirsty Duffy

Japan Proton Accelerator Research

Complex (J-PARC)

18

The T2K Experiment

Charge selection on neutrino parents → ν or ν mode

Phys.Rev.Lett. 116 (2016) no.18, 181801

Diagram by Kirsty Duffy

Japan Proton Accelerator Research

Complex (J-PARC)

19

BEAM

Crossed arrays of 9-ton iron-scintillator detectors ➔ Monitor neutrino beam stability and beam spatial

profile➔ estimate beam flux uncertainty➔ stand-alone cross-section measurements

The T2K Experiment

BEAM

Diagram by Kirsty Duffy

Japan Proton Accelerator Research

Complex (J-PARC)

20

The T2K Experiment

Diagram by Kirsty Duffy

Japan Proton Accelerator Research

Complex (J-PARC)

Off-axis (OA) 2.5º

BEAMOff-axis neutrino beams:Reduce dependence on pion energy → narrow-band

Spectrum peak at maximum disappearance @SK

Phys.Rev. D87 (2013) no.1, 012001

21

Off-axisbeam

Dipole magnet (0.2T)

T2K off-axis near detector (ND280)

22

TPC

TPC

TPC

FGD1

FGD2

Tracker:● FGD: Fine-Grained Detector

1. plastic scintillator C8H

8

target 2. C

8H

8 + H

2O target

● Time Projection Chamber (TPC)

● constrain beam flux and cross

section for oscillation analysis● stand-alone neutrino

interaction measurements

T2K off-axis near detector (ND280)

23

Source: http://www-sk.icrr.u-tokyo.ac.jp/sk/detector/image-e.html

T2K far detector:Super-Kamiokande

● 50 kt water-Cherenkov● 11129 20-inch PMTs in inner

detector; 1885 8-inch PMTs in outer veto detector→ time and amplitude of Cherenkov light

µ, e identification→ detect propagated ν from J-PARC→ E

ν rec. from µ/e kinematics

24

Source: http://www.ps.uci.edu/~tomba/sk/tscan/th

e±µ±

● 50 kt water-Cherenkov● 11129 20-inch PMTs in inner

detector; 1885 8-inch PMTs in outer veto detector

T2K far detector:Super-Kamiokande

µ, e identification→ detect propagated ν from J-PARC via time and amplitude of Cher. light→ E

ν rec. from µ/e kinematics

N N'

µ-/µ+/e/e+νµ/ν

µ/ν

e/ν

e

W

Charged-Current Quasi-Elastic(CCQE)

25

SK event reconstruction

NEW since 2016 summer:New reconstruction algorithm: fiTQun (likelihood-based)Re-optimizing fiducial volume: ~30% increase in effective statistics

26

SK event reconstruction

Minimum distance to wall

Distance to wall alongparticle trajectory

NEW since 2016 summer:New reconstruction algorithm: fiTQun (likelihood-based)Re-optimizing fiducial volume: ~30% increase in effective statistics

27

SK event reconstruction

Old FV

New FV

● Larger Towall = finer sampling of ring = better reconstruction● Optimize cuts accounting for statistical and systematic errors

NEW since 2016 summer:New reconstruction algorithm: fiTQun (likelihood-based)Re-optimizing fiducial volume: ~30% increase in effective statistics

28

Data collection history(Protons-On-Target)

29

Data collection history

start of ν-mode

(Protons-On-Target)

30

Data collection history

start of ν-mode

Published resultsPhys. Rev. Lett. 118 (2017) no.15, 151801POT: 7.5×1020 ν, 7.5×1020 ν

(Protons-On-Target)

31

Data collection history

start of ν-mode

Published resultsPhys. Rev. Lett. 118 (2017) no.15, 151801POT: 7.5×1020 ν, 7.5×1020 ν

Stable beam power at 470 kW, doubling ν POT in 1 year (NEW)This talk: 14.7×1020 ν, 7.6×1020 ν, totaling 29% of approved

(Protons-On-Target)

32

ν-mode FGD1 pµ

Near Detector Samples

µ− CC0π µ− CCNπµ− CC1π

µ+ 1-track

µ− 1-track µ− N-track

µ+ N-track

ν-mode FGD1 pµ

● Data➔ 6 ν-mode samples (FGD1,2)➔ 8 ν-mode samples (FGD1,2)

● Model➔ Flux prediction: beamline

MC tuned with ext. data (NA61) + beam monitor, INGRID

➔ Cross-section models tuned to ext. measurements.

33

ν-mode FGD1 pµ

Near Detector Fit – post-fitν-mode FGD1 pµ

● Data➔ 6 ν-mode samples (FGD1,2)➔ 8 ν-mode samples (FGD1,2)

● Simultaneous fit of pµ, θ

µ➔ Data well reproduced:

p-value 0.47➔ Fitted flux parameters near

nominal, most within 1σ prior uncertainty

➔ Nucleon correlations (NEW): 2p2h, RPA effects significantly adjusted

➔ flux × cross section at SK sys. error 13% → 3 %.

µ− CC0π µ− CCNπµ− CC1π

µ+ 1-track

µ− 1-track µ− N-track

µ+ N-track

34

240 νµ

74 νe

15 νe

68 νµ

7 νe

Event distributions and oscillation fit

CC1π+ sampleCCQE-like sample

● Reconstructed neutrino energy distributions at Super-Kamiokande➢ Dotted: data; histogram: oscillation fit results, p-value 0.42

N ∆

eνe

W

CC1π+ via ∆ production

(No CC1π– sample due to π– absorption)

35

240 νµ

74 νe

15 νe

68 νµ

7 νe

Event distributions and oscillation fit

CC1π+ sampleCCQE-like sample

● νµ rate lower than fit, consistent with uncertainties.

N ∆

eνe

W

CC1π+ via ∆ production

(No CC1π– sample due to π– absorption)

36

240 νµ

74 νe

15 νe

68 νµ

7 νe

Event distributions and oscillation fit

CC1π+ sampleCCQE-like sample

● CC1π νe rate: 15 events observed vs. 6.92 maximum prediction

● P-value 0.12 for upward or downward fluctuation in at least 1 of 5 samples

N ∆

eνe

W

CC1π+ via ∆ production

(No CC1π– sample due to π– absorption)

37

Atmospheric parameter constraints

● Fit normal and inverted hierarchies separately● Final systematics pending, possible additional contribution from interaction

models (no significant impact on δCP

)

Final systematics pendingT2K + reactor (PDG16)

38

T2K only T2K + reactor (PDG16)

scale

● Left: T2K best-fit result and confidence intervals compared to PDG 2016: consistent➢ ν data bring in δ

CP-sensitivity

● Right: T2K results with reactor constraint (PDG 2016), contour range much reduced.

Appearance parameter constraints

39

Measurement of δCP

CCQE-like νe and ν

e rate compared to δ

CP=0 predictions:

➢ Excess in neutrino (top)➢ Deficit in antineutrino (bottom)

74 νe

7 νe

40

Measurement of δCP

SK detector

SK FSI+SI+PN

ND280 constrained flux & xsec

σ(νe)/σ(ν

e) NC1γ NC

otherOscillationparameter variation

Total systematic

error

1.60 1.57 2.50 3.03 1.49 0.18 0.79 4.85

Percentage errors on predicted event rate ratio between νe and ν

e samples:

relevant for δCP

extraction

41

Measurement of δCP

SK detector

SK FSI+SI+PN

ND280 constrained flux & xsec

σ(νe)/σ(ν

e) NC1γ NC

otherOscillationparameter variation

Total systematic

error

1.60 1.57 2.50 3.03 1.49 0.18 0.79 4.85

Percentage errors on predicted event rate ratio between νe and ν

e samples:

relevant for δCP

extraction

ND280 constraint on flux & cross section, reducing error from 13% to 3%.

42

Measurement of δCP

SK detector

SK FSI+SI+PN

ND280 constrained flux & xsec

σ(νe)/σ(ν

e) NC1γ NC

otherOscillationparameter variation

Total systematic

error

1.60 1.57 2.50 3.03 1.49 0.18 0.79 4.85

Percentage errors on predicted event rate ratio between νe and ν

e samples:

relevant for δCP

extraction

ND280 constraint on flux & cross section, reducing error from 13% to 3%.

Don’t precisely measure σ(νe) and σ(ν

e) in ND280. Apply a theoretically motivated

error based on Phys.Rev. D86 (2012) 053003.

43

Measurement of δCP

SK detector

SK FSI+SI+PN

ND280 constrained flux & xsec

σ(νe)/σ(ν

e) NC1γ NC

otherOscillationparameter variation

Total systematic

error

1.60 1.57 2.50 3.03 1.49 0.18 0.79 4.85

Percentage errors on predicted event rate ratio between νe and ν

e samples:

relevant for δCP

extraction

ND280 constraint on flux & cross section, reducing error from 13% to 3%.

Don’t precisely measure σ(νe) and σ(ν

e) in ND280. Apply a theoretically motivated

error based on Phys.Rev. D86 (2012) 053003.

Neutral current (NC) interactions not constrained by ND280. Theoretical models constrained by external measurements.

44

Measurement of δCP

SK detector

SK FSI+SI+PN

ND280 constrained flux & xsec

σ(νe)/σ(ν

e) NC1γ NC

otherOscillationparameter variation

Total systematic

error

1.60 1.57 2.50 3.03 1.49 0.18 0.79 4.85

ND280 constraint on flux & cross section, reducing error from 13% to 3%.

Don’t precisely measure σ(νe) and σ(ν

e) in ND280. Apply a theoretically motivated

error based on Phys.Rev. D86 (2012) 053003.

Neutral current (NC) interactions not constrained by ND280. Theoretical models constrained by external measurements.

Total error 4.85% on event rate ratio νe / ν

e (10% by design).

Percentage errors on predicted event rate ratio between νe and ν

e samples:

relevant for δCP

extraction

45

Measurement of δCP

T2K + reactor (PDG16)

2σ CLIntervals

Best fit point: -1.83 radians in Normal Hierarchy2σ CL interval:

Normal Hierarchy: [-2.98, -0.60] radiansInverted Hierarchy: [-1.54, -1.19] radians

CP conserving values 0, π both fall outside 2σ CL intervals

46

arXiv:1609.04111

sys. imprtNormal MH: unknown

δCP

= -π/2

arXiv:1609.04111

Normal MH: unknown

● Extension of T2K run to 20×1021 POT (~2026)● Currently approved for 7.8×1021 POT (~2021) ● Accelerator and beam-line upgrades to 1.3 MW

3-σ sensitivity for CP violation for favorable parameters, if✔ Full T2K-II exposure 20×1021 POT ✔ 50% improvement in effective statistics: horn

current, SK event reconstruction ✔ Systematic uncertainties down to 2/3 of current

size: ND upgrade

arXiv:1609.04111

T2K-II

47

Outline

1. Understanding matter-antimatter asymmetry with neutrinos

2. Nuclear effects in neutrino-nucleus interactions

3. Measuring neutrino interactions

4. A neutrino shadow play

Act One: Neutrino energy independent measurement of nuclear effects

Act Two: Nuclear effect independent measurement of neutrino energy spectra

5. Summary

48

static nucleon target

49

Quasi-elastic scattering (QE)

charged current (CC) ν → l'

quasi-elastic (QE) N → N'

static nucleon target

N N'

µ-/µ+/e/e+νµ/ν

µ/ν

e/ν

e

W

Charged-Current Quasi-Elastic(CCQE)

50

nuclear target(bound nucleon)

Fermi motion (FM) biases Eν reconstruction

51

Fermi motion (FM) biases Eν reconstruction

Multinucleon correlations: cross section unknown, strong bias to all final-state kinematics

Science 320 (2008) 1476-1478

initial correlation large relative motion

52

Science 320 (2008) 1476-1478

initial correlation large relative motion

nuclear target(bound nucleons)

Fermi motion (FM) biases Eν reconstruction

Multinucleon correlations: cross section unknown, strong bias to all final-state kinematics

● Impulse approximation: independent particles● In particle-hole excitation:

➔ RPA (random phase approximation): sum of 1p1h excitation (over all pairs) ~ ground state correlations (long range)

➔ npnh (n≥2): sub-leading terms in ph expansion ~ multinucleon correlations (short range)

53

Resonance production (RES)

nuclear target

charged current (CC) ν → l'

QE-like N → N'including resonance production (RES) ∆ → N'π followed by π absorption

Fermi motion (FM) biases Eν reconstruction

Multinucleon correlations: cross section unknown, strong bias to all final-state kinematicsQE-like: π absorbed in nucleus ← final-state interaction (FSI)

N ∆

eνe

W

CC1π+ via ∆ production

54

nuclear emission

nuclear target

charged current (CC) ν → l'

Fermi motion (FM) biases Eν reconstruction

Multinucleon correlations: cross section unknown, strong bias to all final-state kinematicsQE-like: π absorbed in nucleus ← final-state interaction (FSI)FSI → energy-momentum transferred in nucleus, possible nuclear emission

QE-like N → N'including resonance production (RES) ∆ → N'π followed by π absorption

55nuclear effects

quasielastic– binding energy

– Fermi motion

– Final-state interactions

– multinucleon correlations

Neutrino energy

56

interaction dynamics

nuclear effects

– quasielastic

– resonant

– DIS– binding energy

– Fermi motion

– Final-state interactions

– multinucleon correlations

Neutrino energy

57

interaction dynamics

nuclear effects

nuclear targets

– quasielastic

– resonant

– DIS– binding energy

– Fermi motion

– Final-state interactions

– C

– O

– Fe

– Pb

– Ar

– multinucleon correlations

Neutrino energy

58

interaction dynamics

nuclear effects

nuclear targets

– quasielastic

– resonant

– DIS– binding energy

– Fermi motion

– Final-state interactions

– C

– O

– Fe

– Pb

– Ar

– multinucleon correlations

Neutrino energy

T2K, arXiv:1701.00432

59

interaction dynamics

nuclear effects

nuclear targets

– quasielastic

– resonant

– DIS– binding energy

– Fermi motion

– Final-state interactions

– C

– O

– Fe

– Pb

– Ar

– multinucleon correlations

Neutrino energy

T2K, arXiv:1701.00432

60

interaction dynamics

nuclear effects

nuclear targets

– quasielastic

– resonant

– DIS– binding energy

– Fermi motion

– Final-state interactions

– C

– O

– Fe

– Pb

– Ar

– multinucleon correlations

Neutrino energy

T2K, arXiv:1701.00432

61

Outline

1. Understanding matter-antimatter asymmetry with neutrinos

2. Nuclear effects in neutrino-nucleus interactions

3. Measuring neutrino interactions

4. A neutrino shadow play

Act One: Neutrino energy independent measurement of nuclear effects

Act Two: Nuclear effect independent measurement of neutrino energy spectra

5. Summary

62Source: http://vmsstreamer1.fnal.gov/VMS_Site_03/VMSFlash/090924Minerva/index.htm

MINERvA

63

Nucl.Instrum.Meth. A743 (2014) 130-159

Scintillator trackerCharged lepton: seenProton: track

MINERvA

64

Nucl.Instrum.Meth. 676 (2012) 44-49, Nucl.Instrum.Meth. A743 (2014) 130-159

Scintillator tracker:Charged lepton: full kinematicsProton: full kinematics (full acceptance)

MINERvA

65

Outline

1. Understanding matter-antimatter asymmetry with neutrinos

2. Nuclear effects in neutrino-nucleus interactions

3. Measuring neutrino interactions

4. A neutrino shadow play

Act One: Neutrino energy independent measurement of nuclear effects

Act Two: Nuclear effect independent measurement of neutrino energy spectra

5. Summary

66

interaction dynamics

nuclear effects

nuclear targets

– quasielastic

– resonant

– DIS– binding energy

– Fermi motion

– Final-state interactions

– C

– O

– Fe

– Pb

– Ar

– multinucleon correlations

Neutrino energy X

References: Phys.Rev. C94 (2016) no.1, 015503arXiv:1602.06730arXiv:1606.04403

67

Transverse kinematic imbalances– a neutrino shadow play

68

Source: http://zhejiangpiying.sokutu.com/tupian.html

To make Neutrino Shadow Play, we need ✔ beam of light✔ screen

Transverse kinematic imbalances– a neutrino shadow play

69

To make Neutrino Shadow Play, we need ✔ beam of light → accelerator✔ screen

Source: http://zhejiangpiying.sokutu.com/tupian.html

Transverse kinematic imbalances– a neutrino shadow play

70

To make Neutrino Shadow Play, we need ✔ beam of light → accelerator✔ screen → transverse plane

Source: http://zhejiangpiying.sokutu.com/tupian.html

Transverse kinematic imbalances– a neutrino shadow play

71

To make Neutrino Shadow Play, we need ✔ beam of light → accelerator✔ screen → transverse plane

Static nucleon target

Source: http://zhejiangpiying.sokutu.com/tupian.html

Transverse kinematic imbalances– a neutrino shadow play

72

To make Neutrino Shadow Play, we need ✔ beam of light → accelerator✔ screen → transverse plane

Source: http://zhejiangpiying.sokutu.com/tupian.html

Nuclear target

Transverse kinematic imbalances– a neutrino shadow play

73

To make Neutrino Shadow Play, we need ✔ beam of light → accelerator✔ screen → transverse plane

Nuclear target

Source: http://zhejiangpiying.sokutu.com/tupian.html

Transverse kinematic imbalances– a neutrino shadow play

74

Nuclear targetStatic nucleon target

Transverse kinematic imbalances– a neutrino shadow play

75

● In given acceptance, overall spectral shapes not sensitive to FSIs.● Nuclear effects difficult to observe on top of neutrino-nucleon kinematics.

[arXiv:1608.04655]

MINERvA measurement of single-transverse kinematic imbalances

76

Total Solar eclipse 1999 in FranceBy Luc Viatour

77

● More sensitive to FSIs due to cancellation of nucleon level physics using kinematic imbalances

● Sensitivity achieved by dedicated momentum cuts and corrections.

[arXiv:1608.04655]

MINERvA measurement of single-transverse kinematic imbalances

78

Transverse Fermi motion

(transverse projected) momentum transfer in● initial-state multinucleon correlation, and● final-state interaction

T2K measurement of single-transverse kinematic imbalancesPreliminary, Progress reports:

arXiv:1605.00179, 1610.05077

79

Transverse Fermi motion

(transverse projected) momentum transfer in● initial-state multinucleon correlation, and● final-state interaction

Preliminary, Progress reports: arXiv:1605.00179, 1610.05077

T2K measurement of single-transverse kinematic imbalances

80

Fermi motion: flat

Preliminary, Progress reports: arXiv:1605.00179, 1610.05077

T2K measurement of single-transverse kinematic imbalances

81

Transversely “accelerated” or “decelerated”

“acceleration”

FSI dynamics

Preliminary, Progress reports: arXiv:1605.00179, 1610.05077

T2K measurement of single-transverse kinematic imbalances

82

“deceleration”“acceleration”

Transversely “accelerated” or “decelerated”

FSI dynamics

Preliminary, Progress reports: arXiv:1605.00179, 1610.05077

T2K measurement of single-transverse kinematic imbalances

83

Transversely “accelerated” or “decelerated”

FSI dynamics

“deceleration”

Preliminary, Progress reports: arXiv:1605.00179, 1610.05077

T2K measurement of single-transverse kinematic imbalances

84

● Large discrepancy between NEUT and GENIE➢ not seen in single-particle kinematics.

● Highlighted GENIE features (“collinear

enhancement”) all originate from its FSI model, see discussions in [Phys.Rev. C94 (2016) no.1, 015503]:

“the GENIE Collaboration suggested to investigate the effect of the elastic interaction of the hA FSI model.”

Preliminary, Progress reports: arXiv:1605.00179, 1610.05077

T2K measurement of single-transverse kinematic imbalances

85

Outline

1. Understanding matter-antimatter asymmetry with neutrinos

2. Nuclear effects in neutrino-nucleus interactions

3. Measuring neutrino interactions

4. A neutrino shadow play

Act One: Neutrino energy independent measurement of nuclear effects

Act Two: Nuclear effect independent measurement of neutrino energy spectra

5. Summary

86

interaction dynamics

nuclear effects

nuclear targets

– quasielastic

– resonant

– DIS– binding energy

– Fermi motion

– Final-state interactions

– C

– O

– Fe

– Pb

– Ar

– multinucleon correlations

Neutrino energy

X

87

interaction dynamics

nuclear effects

nuclear targets

– quasielastic

– resonant

– DIS– binding energy

– Fermi motion

– Final-state interactions

– C

– O

– Fe

– Pb

– Ar

– multinucleon correlations

Neutrino energy

References: Phys.Rev. D92 (2015) no.5, 051302arXiv:1512.09042arXiv:1606.04403

H

With target,

Eν ∑ final-state energy.

A problem of .

=≠

Hnuclear

detector resolutionnuclear phy. + d.r.

88

● Pure hydrogen

– Technical requirement:

● bubble chamber (historical: 73, 79, 78, 82, 86)

– Safety issue: explosive

● “Since the use of a liquid H2 bubble chamber is excluded in the ND hall due to safety concerns, ...” [FERMILAB-PUB-14-022]

● In the last ~30 years there has been no new measurement of neutrino interactions on pure hydrogen.

Chin. Phys. C 38, 090001 (2014)

H2

89

Lepton-proton interaction → 3 charged particles: l p → l' X Y– Leading order realization in standard model:

Double-Transverse kinematic imbalance

90

Lepton-proton interaction → 3 charged particles: l p → l' X Y– Leading order realization in standard model:

Double-Transverse kinematic imbalance

91

Lepton-proton interaction → 3 charged particles: l p → l' X Y– Leading order realization in standard model:

Double-Transverse kinematic imbalance

92

Lepton-proton interaction → 3 charged particles: l p → l' X Y– Leading order realization in standard model:

Double-Transverse kinematic imbalance

93

Double-transverse momentum imbalance δpTT

● H: 0 ● Heavier nuclei: irreducible symmetric broadening

● by Fermi motion O(200 MeV)● further by FSI

● Hydrogen shape is only detector smearing. ● With good detector resolution, hydrogen yield can be extracted. ● With very good res., event-by-event selection of ν-H interaction is possible.

Phys.Rev. D92 (2015) no.5, 051302

94

● Aim at first neutrino-pure hydrogen cross section measurement since 1986✔ Signal shape well known from detector simulation. ✔ Background can be further constrained by single-transverse kinematic imbalances

and measurements w/ pure nuclear target, e.g. graphite.● Precise probe of nuclear effects in pion production via H/C cross section ratio: detector

systemic uncertainties largely canceled (as C, H in same molecule).

Work in progress, Progress reports: arXiv:1605.00154, 1610.06244

T2K measurement of double-transverse kinematic imbalances

95

arXiv:1512.09042

2× better tracking res.

✔ Requirement on nuclear physics decreases as resolution improves! Only need to look at |δp

TT|<O(10 MeV) region.

T2K performance projection

96

Ideal acceptance w/ ideal tracking+PID

3-particle final state: µ, p, π+

Eν reconstructed as sum of final-state energy

H excl. pπ+ signal ➢ Fraction: ~ 20% (blue-shifted peak) – 10% (tail)

Recipe for nuclear-free neutrino energy spectra

97

Ideal acceptance w/ ideal tracking+PID

3-particle final state: µ, p, π+

Eν reconstructed as sum of final-state energy

H excl. pπ+ signal ➢ Fraction: ~ 20% (blue-shifted peak) – 10% (tail)➢ No (nuclear) bias in reconstructed E

ν

Recipe for nuclear-free neutrino energy spectra

98

Ideal acceptance w/ ideal tracking+PID

3-particle final state: µ, p, π+

Eν reconstructed as sum of final-state energy

H excl. pπ+ signal ➢ Fraction: ~ 20% (blue-shifted peak) – 10% (tail)➢ No (nuclear) bias in reconstructed E

ν➢ Can be extracted (statistically in realistic case)

Recipe for nuclear-free neutrino energy spectra

99

Ideal acceptance w/ ideal tracking+PID

3-particle final state: µ, p, π+

Eν reconstructed as sum of final-state energy

H excl. pπ+ signal ➢ Fraction: ~ 20% (blue-shifted peak) – 10% (tail)➢ No (nuclear) bias in reconstructed E

ν➢ Can be extracted (statistically in realistic case)➢ σ only nucleon cross section, Φ=N/(σ ∆Ε

ν)

➔ both Φ and Eν nuclear-free

➔ require tracking, PID (only needed for Εν

calculation), νH excl. pπ+ x-sec

Recipe for nuclear-free neutrino energy spectra

100

Ideal acceptance w/ ideal tracking+PID

3-particle final state: µ, p, π+

Eν reconstructed as sum of final-state energy

H excl. pπ+ signal ➢ Fraction: ~ 20% (blue-shifted peak) – 10% (tail)➢ No (nuclear) bias in reconstructed E

ν➢ Can be extracted (statistically in realistic case)➢ σ only nucleon cross section, Φ=N/(σ ∆Ε

ν)

➔ both Φ and Eν nuclear-free

➔ require tracking, PID (only needed for Εν

calculation), νH excl. pπ+ x-sec

Recipe for nuclear-free neutrino energy spectra

Same procedure for differential cross s

ections on W, Q

2 , etc.

101

Ideal acceptance w/ ideal tracking+PID

3-particle final state: µ, p, π+

Eν reconstructed as sum of final-state energy

H excl. pπ+ signal ➢ Fraction: ~ 20% (blue-shifted peak) – 10% (tail)➢ No (nuclear) bias in reconstructed E

ν➢ Can be extracted (statistically in realistic case)➢ σ only nucleon cross section, Φ=N/(σ ∆Ε

ν)

➔ both Φ and Eν nuclear-free

➔ require tracking, PID (only needed for Εν

calculation), νH excl. pπ+ x-sec

Recipe for nuclear-free neutrino energy spectra

Clean room for different exclusiv

e µpπ processes!

102

Outline

1. Understanding matter-antimatter asymmetry with neutrinos

2. Nuclear effects in neutrino-nucleus interactions

3. Measuring neutrino interactions

4. A neutrino shadow play

Act One: Neutrino energy independent measurement of nuclear effects

Act Two: Nuclear effect independent measurement of neutrino energy spectra

5. Summary

103

Summary (1)● NEW since 2016 summer:

– Doubled neutrino-mode statistics

– New reconstruction and event selection at SK: effective improvement in statistics by ~30%

– Improvements to neutrino interaction model

● Updated oscillation parameter estimates

– CP conserving values of δCP

are disfavored at 2σ level.

● T2K upgrade to collect 20×1021 POT and achieve 3σ (in case of favorable true values of δ

CP ) sensitivity to

exclude CP conserving values.

104

Summary (2)● It is important to understand nuclear properties in neutrino

interactions

– Future experiment requires total systematic errors better than few %.

● New technique to study nuclear and nucleon properties– Transverse kinematic imbalances

● correlation between final-state lepton and hadrons● Principle of solar eclipse: in the transverse plane, lepton kinematics is

used to cancel out nucleon level hadron kinematics; the rest is nuclear effects

– Single transverse kinematic imbalances: separate initial- and final-state nuclear effects

– Double transverse kinematic imbalance: modern measurement of ν-nucleon fundamental interaction

105

Source: http://www.cnhubei.com/ztmjys-pyts

谢谢 !

106

BACKUP

107

Impact of data-driven variation on sensitivity:

Will be addressed in future by 4π sample, hadronic recoil, ND upgrade

variation = pre-fit/model prediction difference at ND280

108

Quasi-elastic scattering (QE):

ω: energy transfer

109

Resonance production (RES):

ω: energy transfer

110

Deep inelastic scattering (DIS): nucleon breaks up

ω: energy transfer

111

ω: energy transfer

For QE and RES (nucleon not breaking up), ω “saturates” when E

ν > 0.5 GeV

[Phys.Rev. C94 (2016) no.1, 015503]

112

In QE and RES ● Lepton retains most of the increase of E

ν

● Leptonic kinematics much more Eν-dependent than

hadronic ones

Source: http://www.wikihow.com/Pump-a-Spalding-Neverflat-Basketball

ν

N

l'

For QE and RES (nucleon not breaking up), ω “saturates” when E

ν > 0.5 GeV

[Phys.Rev. C94 (2016) no.1, 015503]

ω: energy transfer

113

END

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