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Neutrino Oscillation

Experiments

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2

Neutrino Mixing

e

m1 m2 m3

Oscillation physics

Atmospheric  sector

Solar  sector interference 

sector



23

13

, 

12



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3

Neutrino Oscillations

If neutrinos are massive and have different masses...

Δm

ij2

≡ m

i2

-m

j2

Oscillation parameters:  (

12

, 

13

, 

3

),  (m

221

, m

231

), 

P

αβ

= sin

2

2θ ⋅ sin

2

( Δm 4 ⋅ E

2

ν

L )

P osc

If 13 small and m221 << m232 : 2 oscillation

amplitude frequency

Oscillation probability:

Oscillation probability is a function of L/E

appearance disappearance

Physics Beyond The Standard Model!!!

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Neutrino Sources and Baselines

~100 km

~107 km

Natural and human­

made sources 

Wide range of energies

Several possible  baselines

~10-104 km

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Neutrino Detectors

Radiochemical experiments: Homestake, Gallex, ...

Cherenkov: SuperKamiokande, MiniBooNE,...

Scintillator calorimeters: KamLAND, Double Chooz..

Tracking calorimeters: MINOS, NOvA, … LAr TPCs: ICARUS, MicroBooNE, DUNE, Emulsions: OPERA 

MINOS

ICARUS KamLAND

SuperK

Huge mass to compensate the low  xsections!

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Neutrino Oscillation Signal

Disappearance: deficit in the observed neutrinos and distortion in the E spectrum 

Appearance: observation of an unexpected neutrino flavor

Oscillation parameters estimation: fit observed data to the model:

 disappearance

e appearance

Pαβ=sin2⋅sin2

(

Δm4E2Lν

)

T2K T2K

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Neutrino Experiments

(Or prediction)

Known flux before oscillation

Comparison with no-oscillation

expectation

Experiment classification depending on L/E

 m

sol

, 

sol

 m

atm

, 

atm

Pαβ=sin22θsin2

(

Δm4⋅E2Lν

)

2 Oscillations

Flux  Model

x

z y

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Solar and Atm. Experiments

sol, m2sol

measurement atm, |m2atm|

measurement 2 Disappearance experiments

Solar Atmospheric

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9

Accelerator Experiments

or Near

Detector

T2K

Appearance experiment

13 Disappearance experiment

atm, |m2atm|

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Reactor Neutrino experiments

Detector

Reactor neutrinos: EMeV Flux

measurement Detector

13, m2atm measurement

Detector

sol, m2sol measurement

KamLand

Nuclear Reactors: 

intense source of e

IBD:e + p → e+ + n

Double Chooz Daya Bay RENO

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3  Global Analysis

All the experimental data can be analyzed together assuming 3 oscillations

 CP ? ?

How to measure MH and cp?: running experiments sensitive to 3 oscillations

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3  Reactor Experiments

Normal Hierarchy Inverted Hierarchy 50 km

JUNO

MH can be determined if good E resolution

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13

3  Accelerator Experiments

Access to CP violation and mass hierarchy!

T2K+Reactors

 disappearance e appearance

+

e appearance

e + p → e+ + n

+ =

 CP

“  CP ”

Optimized E/L!!!

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Summary

Neutrinos are the first proof of physics Beyond the Standard Model

Neutrinos oscillate, ergo they are massive particles

Neutrino oscillation probability is a function of E/L

Oscillation experiments are defined according to a given E/L

Solar and LBL accelerator experiments (same E/L)

oscillation in the solar sector: 12, m221

Atmospheric and accelerator LBL experiments (same E/L): 

oscillation in the atmospheric sector: 23, m232

Reactor experiments: proof of interference sector: 13

Current and future experiments: analyze data in 3 scenario

Access to mass hierarchy (DUNE) and CP violation (T2K, DUNE) 

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Referencias

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