Exploring three-flavor neutrino oscillations with MINOS Joo A. B. - - PowerPoint PPT Presentation

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Exploring three-flavor neutrino oscillations with MINOS Joo A. B. - - PowerPoint PPT Presentation

Exploring three-flavor neutrino oscillations with MINOS Joo A. B. Coelho for the MINOS Collaboration Tufts University 2 May 2014 Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 1.1/ 39 Outline Neutrino oscillations MINOS overview


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SLIDE 1

Exploring three-flavor neutrino

  • scillations with MINOS

João A. B. Coelho

for the MINOS Collaboration

Tufts University

2 May 2014

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 1.1/ 39

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SLIDE 2

Outline

⋄ Neutrino oscillations ⋄ MINOS overview ⋄ New 3ν results

  • Beam νµ and νµ disappearance
  • Atmospheric νµ and νµ disappearance
  • Beam νe + νe appearance
  • Combined results

⋄ Summary and Prospects

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 2.1/ 39

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SLIDE 3

Neutrino Oscillations

µ W Uµ1 ν1

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 3.1/ 39

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SLIDE 4

Neutrino Oscillations

µ W Uµ1 eim1τ1 U ∗

e1

e W

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 3.2/ 39

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SLIDE 5

Neutrino Oscillations

µ W A1

µe = Uµ1eim1τjU ∗ e1

e W

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 3.3/ 39

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SLIDE 6

Neutrino Oscillations

µ W Aµe =

j UµjeimjτjU ∗ ej

e W

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 3.4/ 39

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SLIDE 7

Neutrino Oscillations

µ W Aµe =

j UµjeimjτjU ∗ ej

e W Pµe = |Aµe|2 =

j,k U ∗ ejUµjU ∗ µkUeke−i

∆m2 jkL 2E Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 3.5/ 39

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SLIDE 8

Neutrino Oscillations

µ W Aµe =

j UµjeimjτjU ∗ ej

e W Pµe = |Aµe|2 =

j,k U ∗ ejUµjU ∗ µkUeke−i

∆m2 jkL 2E

Oscillation

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 3.6/ 39

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SLIDE 9

Neutrino Oscillations

µ W Aµe =

j UµjeimjτjU ∗ ej

e W Pµe = |Aµe|2 =

j,k U ∗ ejUµjU ∗ µkUeke−i

∆m2 jkL 2E

Oscillation U(θ12, θ13, θ23, δCP )

In general: n(n − 1)/2 angles and (n − 1)(n − 2)/2 phases

U =   1 c23 s23 −s23 c23     c13 s13e−iδCP 1 −s13eiδCP c23     c12 s12 −s12 c12 1  

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 3.7/ 39

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Matter Effects

µ W e W ν

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 4.1/ 39

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SLIDE 11

Matter Effects

µ W e W ν e W e ν

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 4.2/ 39

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SLIDE 12

Matter Effects

µ W e W ν e W e ν

Heff = U   

∆m2

21

2E ∆m2

31

2E

   U † ± √ 2GF ne   1  

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 4.3/ 39

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SLIDE 13

Matter Effects

µ W e W ν e W e ν

Heff = U   

∆m2

21

2E ∆m2

31

2E

   U † ± √ 2GF ne   1  

  • Relevant when

√ 2GF ne ∆m2

2E

∼ 1/L

  • In Earth,

√ 2GF ne ∼ 1/(1500 ± 500 km)

  • Comparable to

∆m2

31

2E

for E ∼ 10GeV

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 4.4/ 39

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SLIDE 14

Two-flavor approximation

L/E (103 km/GeV)

Reactor νe

∆m2

⊙ ∼ 7.5 × 10−5eV2

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 5.1/ 39

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SLIDE 15

Two-flavor approximation

L/E (103 km/GeV)

Reactor νe

∆m2

⊙ ∼ 7.5 × 10−5eV2

Atmospheric νµ Super-K

∆m2

⊕ ∼ 2.5 × 10−3eV2

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 5.2/ 39

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SLIDE 16

Two-flavor approximation

L/E (103 km/GeV)

Reactor νe

∆m2

⊙ ∼ 7.5 × 10−5eV2

Atmospheric νµ Super-K

∆m2

⊕ ∼ 2.5 × 10−3eV2

L/E ≪ 104 km/GeV Pαα = 1 − sin2(2θ⊕

αα) sin2(1.27∆m2 ααL/E) + O(∆m2 ⊙L/E)2 Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 5.3/ 39

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SLIDE 17

Two-flavor approximation

L/E (103 km/GeV)

Reactor νe

∆m2

⊙ ∼ 7.5 × 10−5eV2

Atmospheric νµ Super-K

∆m2

⊕ ∼ 2.5 × 10−3eV2

L/E 104 km/GeV Pαα ≈ 1 − [ 1

2 sin2(2θ⊕ αα) + sin2(2θ⊙ αα) sin2(1.27∆m2 ⊙L/E)] Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 5.4/ 39

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Beyond two flavors

⋄ L/E ≪ 104 km/GeV: Pµµ = 1 − sin2(2θ⊕

µµ) sin2 ∆µµ + O(∆⊙)2

Pµe = sin2(2θ⊕

µe) sin2 ∆µe + ˜

J sin δ sin ∆⊙ sin2 ∆µe + O(∆⊙)2 ⋄ Two degeneracies:

  • Mass hierarchy
  • Octant of θ⊕

αβ

⋄ Three solutions:

  • Three-flavor terms (O(∆⊙))
  • Matter effects (

√ 2GF neL ∼ |∆⊕| ∼ 1)

  • Multiple channels (θ⊕

µµ = θ⊕ µe = θ⊕ ee) Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 6.1/ 39

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SLIDE 19

What we know

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 7.1/ 39

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SLIDE 20

What we know

MINOS 2ν: |∆m2

µµ| = 2.41+0.09

−0.10 × 10−3 eV2

∼ 2.4 × 10−3 eV2

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 7.2/ 39

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SLIDE 21

What we know

T2K: sin2(θ23) = 0.514+0.055

−0.056 (NH)

0.511 ± 0.055 (IH) MINOS 2ν: |∆m2

µµ| = 2.41+0.09

−0.10 × 10−3 eV2

(38 − 57)% ∼ 2.4 × 10−3 eV2

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 7.3/ 39

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SLIDE 22

What we know

Solar+KamLAND: ∆m2

21 = (7.53±0.18)×10−5 eV2

sin2(θ12) = 0.304+0.014

−0.012

T2K: sin2(θ23) = 0.514+0.055

−0.056 (NH)

0.511 ± 0.055 (IH) MINOS 2ν: |∆m2

µµ| = 2.41+0.09

−0.10 × 10−3 eV2

7.53 × 10−5 eV2 ∼30%

θ12 < π/4

(38 − 57)% ∼ 2.4 × 10−3 eV2

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 7.4/ 39

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SLIDE 23

What we know

Solar+KamLAND: ∆m2

21 = (7.53±0.18)×10−5 eV2

sin2(θ12) = 0.304+0.014

−0.012

Daya Bay+RENO+DC: sin2(θ13) = 0.0242 ± 0.0025 T2K: sin2(θ23) = 0.514+0.055

−0.056 (NH)

0.511 ± 0.055 (IH) MINOS 2ν: |∆m2

µµ| = 2.41+0.09

−0.10 × 10−3 eV2

7.53 × 10−5 eV2 ∼30%

θ12 < π/4

(38 − 57)% ∼ 2.4 × 10−3 eV2 ∼2.4%

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 7.5/ 39

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What we don’t know

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 8.1/ 39

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What we don’t know

(38 − 57)% Is θ23 maximal? What is the octant of θ23?

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 8.2/ 39

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What we don’t know

Is θ23 maximal? What is the octant of θ23? Do neutrinos violate CP? What is the value of δCP ?

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 8.3/ 39

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SLIDE 27

What we don’t know

Is θ23 maximal? What is the octant of θ23? Do neutrinos violate CP? What is the value of δCP ?

?

What is the neutrino mass hierarchy?

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 8.4/ 39

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SLIDE 28

What we don’t know

Is θ23 maximal? What is the octant of θ23? Do neutrinos violate CP? What is the value of δCP ?

?

What is the neutrino mass hierarchy?

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 8.5/ 39

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The MINOS experiment

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 9.1/ 39

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MINOS overview

735 km

Far Detector 5.4 kton Near Detector 1 kton

12 km 735 km 10 km Fermilab Soudan

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 10.1/ 39

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SLIDE 31

MINOS overview

Far Detector 5.4 kton

ΝΜ

Cosmic Ray MINOS

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 10.2/ 39

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SLIDE 32

The NuMI beam

D e c a y P i p e Target Near Detector νµ: 91.7% νµ: 7.0% νe + νe: 1.3% νµ: 58.1% νµ: 39.9% νe + νe: 2.0%

Main Injector

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 11.1/ 39

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Exposure

Low energy neutrinos Low energy anti-neutrinos High energy neutrinos MINOS+ ⋄ 15.6 × 1020 protons on target in 7 years of running ⋄ 37.88 kt-year of atmospheric neutrinos since 2003

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 12.1/ 39

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The MINOS detectors

ν Steel plane Scintillator plane Magnetic field for charge identification

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 13.1/ 39

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MINOS event topology

νµ-CC event NC event νe-CC event

νµ µ W Fe

Hadron Shower

νe e W Fe

Hadron Shower

ν ν Z Fe

Hadron Shower

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 14.1/ 39

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SLIDE 36

MINOS event topology

νµ-CC event NC event νe-CC event

M u

  • n

t r a c k

νµ µ W Fe

Hadron Shower

νe e W Fe

Hadron Shower

ν ν Z Fe

Hadron Shower

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 14.2/ 39

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SLIDE 37

MINOS event topology

νµ-CC event NC event νe-CC event

M u

  • n

t r a c k E M s h

  • w

e r

νµ µ W Fe

Hadron Shower

νe e W Fe

Hadron Shower

ν ν Z Fe

Hadron Shower

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 14.3/ 39

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MINOS event topology

νµ-CC event NC event νe-CC event

M u

  • n

t r a c k

H a d r

  • n

s h

  • w

e r

E M s h

  • w

e r

νµ µ W Fe

Hadron Shower

νe e W Fe

Hadron Shower

ν ν Z Fe

Hadron Shower

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 14.4/ 39

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SLIDE 39

Three-flavor results

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 15.1/ 39

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Survival probability

90% 99%

0.01 1 100 104 0.0 0.2 0.4 0.6 0.8 1.0 1.2 103 102 101 100 101 102 103 104 LE kmGeV ΝΜΝΜ Probability m 2 1st Minimum 2Flavor 3Flavor ND FD Atmospherics Pνµ→νµ ≈ 1 − sin2(2θ⊕

µµ) sin2(1.27∆m2 µµ L E ) + O(∆m2 ⊙ L E )2

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 16.1/ 39

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SLIDE 41

Survival probability

90% 99%

0.01 1 100 104 0.0 0.2 0.4 0.6 0.8 1.0 1.2 103 102 101 100 101 102 103 104 LE kmGeV ΝΜΝΜ Probability m 2 1st Minimum 2Flavor 3Flavor ND FD Atmospherics Pνµ→νµ ≈ 1 − sin2(2θ⊕

µµ) sin2(1.27∆m2 µµ L E ) + O(∆m2 ⊙ L E )2

sin2(2θ⊕

µµ)

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 16.2/ 39

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SLIDE 42

Survival probability

90% 99%

0.01 1 100 104 0.0 0.2 0.4 0.6 0.8 1.0 1.2 103 102 101 100 101 102 103 104 LE kmGeV ΝΜΝΜ Probability m 2 1st Minimum 2Flavor 3Flavor ND FD Atmospherics Pνµ→νµ ≈ 1 − sin2(2θ⊕

µµ) sin2(1.27∆m2 µµ L E ) + O(∆m2 ⊙ L E )2

∆m2

µµ

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 16.3/ 39

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SLIDE 43

Survival probability

90% 99%

0.01 1 100 104 0.0 0.2 0.4 0.6 0.8 1.0 1.2 103 102 101 100 101 102 103 104 LE kmGeV ΝΜΝΜ Probability m 2 1st Minimum 2Flavor 3Flavor ND FD Atmospherics Pνµ→νµ ≈ 1 − sin2(2θ⊕

µµ) sin2(1.27∆m2 µµ L E ) + O(∆m2 ⊙ L E )2

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 16.4/ 39

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SLIDE 44

Mantle Resonance

ΝΜ

Cosmic Ray MINOS θz

νµ νµ νµ νµ

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 17.1/ 39

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SLIDE 45

Mantle Resonance

ΝΜ

Cosmic Ray MINOS θz

νµ νµ νµ νµ

∼20

Predict∗

∼20

Predict∗

∼10

Predict∗

∼10

Predict∗

∗Contained-vertex events Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 17.2/ 39

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Analysis Overview

⋄ Extended version of the 2ν result† ⋄ New binning in cos(θz) and energy to exploit resonance effects ⋄ Improved algorithm for calculating 3ν probabilities ⋄ Fit in 4D parameter space: (∆m2

32, sin2 θ23, sin2 θ13, δCP )

⋄ Include 15 systematics as nuisance parameters in the fit ⋄ External constraint from average of reactor experiments:

  • sin2 θ13 = 0.0242 ± 0.0025 (θ13 = 8.95◦)

⋄ Solar parameters fixed to global average:∗

  • ∆m2

21 = 7.54 × 10−5 eV2

  • sin2 θ12 = 0.307

†Phys. Rev. Lett. 110, 251801 (2013) ∗Fogli et al., Phys. Rev. D 86, 013012 (2012) Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 18.1/ 39

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Data Samples

⋄ Uses the same data samples as the 2ν result ⋄ Full beam exposure:

  • 10.71 × 1020 POT taken in neutrino mode
  • Select νµ-CC interactions
  • Select νµ-CC interactions
  • 3.36 × 1020 POT taken in anti-neutrino mode
  • Select νµ-CC interactions

⋄ 37.88 kt-years of atmospheric neutrinos

  • Select νµ-CC interactions
  • Select νµ-CC interactions

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 19.1/ 39

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SLIDE 48

Sensitivities

Beam-only Sensitivity

O(θ2

13)

⋄ sin2 θµµ = sin2 θ23cos2 θ13 ⋄ Oscillation maximum: θµµ = π/4 = θ23 ⋄ No octant discrimination from beam neutrinos

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 20.1/ 39

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SLIDE 49

Sensitivities

Beam+Atmospheric Sensitivity ⋄ Some sensitivity to octant and mass hierarchy by in- cluding atmospheric neu- trinos

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 20.2/ 39

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SLIDE 50

Beam Data

⋄ Predicted 3201 νµ-CC candidates and 363 νµ-CC candidates ⋄ Observed 2579 νµ-CC candidates and 312 νµ-CC candidates

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 21.1/ 39

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SLIDE 51

Beam Data

⋄ Predicted 3201 νµ-CC candidates and 363 νµ-CC candidates ⋄ Observed 2579 νµ-CC candidates and 312 νµ-CC candidates ⋄ 2ν and 3ν best fits are almost indistinguishable for beam ν’s

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 21.2/ 39

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SLIDE 52

Atmospheric Data

⋄ Predicted 1100 events, observed 905 events ⋄ Small effects from hierarchy in the resonance region

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 22.1/ 39

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SLIDE 53

νµ → νe Appearance

⋄ L/E ≪ 104 km/GeV: Pµe = sin2(2θ⊕

µe) sin2 ∆µe + ˜

J sin δ sin ∆⊙ sin2 ∆µe + O(∆⊙)2 Relatively large three-flavor corrections

  • sin2(2θ⊕

µe) = sin2 θ23 sin2(2θ13) ∼ 5%

  • ˜

J = cos θ13 sin(2θ12) sin(2θ23) sin(2θ13) ∼ 0.28

  • First order in ∆⊙ ∼ 3% → ∼ 1% effect
  • A ≡ 2

√ 2GF neE/∆m2

32 ∼ 20%

  • sin2(2θ13) →

sin2(2θ13) sin2(2θ13)+[cos(2θ13)±A]2 → ∼ 2% effect Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 23.1/ 39

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SLIDE 54

νµ → νe Appearance

⋄ L/E ≪ 104 km/GeV: Pµe = sin2(2θ⊕

µe) sin2 ∆µe + ˜

J sin δ sin ∆⊙ sin2 ∆µe + O(∆⊙)2 Relatively large three-flavor corrections

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 23.2/ 39

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SLIDE 55

Appearance Results

⋄ ν-mode and ν-mode beams ⋄ Select events based on Library-Event-Matching (LEM) algorithm ⋄ Fit in three separate regions of selection variable ⋄ Also look at shape of energy spectrum

most signal-like most background-like Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 24.1/ 39

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SLIDE 56

Appearance Results

⋄ ν-mode and ν-mode beams ⋄ Select events based on Library-Event-Matching (LEM) algorithm ⋄ Fit in three separate regions of selection variable ⋄ Also look at shape of energy spectrum ⋄ Overall signal rate lower than pre- dicted by reactors if θ23 = π/4

sin2(2θ13) (Reactors) Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 24.2/ 39

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SLIDE 57

Combining with νe Appearance

⋄ Relative low rate of νµ → νe appear- ance disfavors normal hierarchy and upper θ23 octant solution

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 25.1/ 39

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SLIDE 58

Combining with νe Appearance

⋄ Relative low rate of νµ → νe appear- ance disfavors normal hierarchy and upper θ23 octant solution ⋄ Combining appearance and disap- pearance data improves significance ⋄ Add 4D likelihood surfaces: (∆m2

32, sin2 θ23, sin2 θ13, δCP )

⋄ Systematics are taken to be uncorre- lated between analyses ⋄ Normal hierarchy and upper octant disfavored at 81% C.L.

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 25.2/ 39

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SLIDE 59

Combined Results

⋄ Overall best fit is inverted hierarchy and lower octant ⋄ Normal Hierarchy

⋄ |∆m2

32| = 2.37+0.09

−0.09 × 10−3eV2

⋄ 0.35 < sin2 θ23 < 0.65 at 90% C.L.

⋄ Inverted Hierarchy

⋄ |∆m2

32| = 2.41+0.12

−0.09 × 10−3eV2

⋄ 0.34 < sin2 θ23 < 0.67 at 90% C.L.

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 26.1/ 39

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SLIDE 60

Combined Results

⋄ Overall best fit is inverted hierarchy and lower octant

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 26.2/ 39

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SLIDE 61

World Best Measurements

  • S. Jetter, NuFact 2013

⋄ Most precise measurement of ∆m2

32

⋄ Competitive measurements of sin2(θ23) ⋄ Maximal mixing disfavored at 79% C.L. ⋄ Good agreement with other experiments so far

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 27.1/ 39

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SLIDE 62

MINOS+

3000 events/year between 4-10 GeV ⋄ Higher energy neutrinos ⋄ Broad spectrum to test three-flavor paradigm ⋄ More statistics, different energy, dif- ferent systematics ⋄ High statistics with neutrinos and anti- neutrinos ⋄ Improved sensitivity to:

  • Sterile neutrinos
  • Extra-dimensions
  • Non-standard interactions
  • Decoherence
  • Decay

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 28.1/ 39

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SLIDE 63

MINOS+

⋄ Higher energy neutrinos ⋄ Broad spectrum to test three-flavor paradigm ⋄ More statistics, different energy, dif- ferent systematics ⋄ High statistics with neutrinos and anti-neutrinos ⋄ Improved sensitivity to:

  • Sterile neutrinos
  • Extra-dimensions
  • Non-standard interactions
  • Decoherence
  • Decay

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 28.2/ 39

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SLIDE 64

MINOS+

⋄ Higher energy neutrinos ⋄ Broad spectrum to test three-flavor paradigm ⋄ More statistics, different energy, dif- ferent systematics ⋄ High statistics with neutrinos and anti-neutrinos ⋄ Improved sensitivity to:

  • Sterile neutrinos
  • Extra-dimensions
  • Non-standard interactions
  • Decoherence
  • Decay

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 28.3/ 39

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SLIDE 65

MINOS+

⋄ Higher energy neutrinos ⋄ Broad spectrum to test three-flavor paradigm ⋄ More statistics, different energy, dif- ferent systematics ⋄ High statistics with neutrinos and anti- neutrinos ⋄ Improved sensitivity to:

  • Sterile neutrinos
  • Extra-dimensions
  • Non-standard interactions
  • Decoherence
  • Decay

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 28.4/ 39

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SLIDE 66

MINOS+

⋄ Higher energy neutrinos ⋄ Broad spectrum to test three-flavor paradigm ⋄ More statistics, different energy, dif- ferent systematics ⋄ High statistics with neutrinos and anti- neutrinos ⋄ Improved sensitivity to:

  • Sterile neutrinos
  • Extra-dimensions
  • Non-standard interactions
  • Decoherence
  • Decay

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 28.5/ 39

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SLIDE 67

MINOS+

⋄ Higher energy neutrinos ⋄ Broad spectrum to test three-flavor paradigm ⋄ More statistics, different energy, dif- ferent systematics ⋄ High statistics with neutrinos and anti- neutrinos ⋄ Improved sensitivity to:

  • Sterile neutrinos
  • Extra-dimensions
  • Non-standard interactions
  • Decoherence
  • Decay

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 28.6/ 39

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SLIDE 68

MINOS+

⋄ Higher energy neutrinos ⋄ Broad spectrum to test three-flavor paradigm ⋄ More statistics, different energy, dif- ferent systematics ⋄ High statistics with neutrinos and anti- neutrinos ⋄ Improved sensitivity to:

  • Sterile neutrinos
  • Extra-dimensions
  • Non-standard interactions
  • Decoherence
  • Decay

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 28.7/ 39

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SLIDE 69

Summary

⋄ Updated results with full 3-flavor framework ⋄ World’s most precise measurement of ∆m2

32

⋄ MINOS+ has already collected over 2.0 × 1020 PoT ⋄ New exciting results to come. Stay tuned!

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 29.1/ 39

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SLIDE 70

Thank you!

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 30.1/ 39

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SLIDE 71

Backup Slides

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 31.1/ 39

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SLIDE 72

Beam νµ-CC selection

⋄ R input variables

  • # of active planes
  • Mean PH per plane
  • PH fluctuation
  • Transverse profile

⋄ J input variables

  • # of active planes
  • Track end PH
  • Scattering

⋄ Select if J > 0.5 || R > 0.25 ⋄ Charge determined by curvature

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 32.1/ 39

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SLIDE 73

Atmospheric selection

⋄ Contained-vertex selection: ⋄ Select events with long tracks (>8 planes) ⋄ Use timing, direction and topology to remove cosmic rays ⋄ Background reduced by a factor of 107 ⋄ Also included samples

  • f

shower-like events and rock- induced events from up- going and horizontal muons

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 33.1/ 39

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SLIDE 74

Beam νe-CC Selection Library Event Matching (LEM)

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 34.1/ 39

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SLIDE 75

Beam νe-CC Selection Library Event Matching (LEM)

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 34.2/ 39

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SLIDE 76

Disappearance Event Samples

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 35.1/ 39

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SLIDE 77

Extrapolation

Unfold Fold ND flux FD flux prediction

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 36.1/ 39

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SLIDE 78

Purity and Efficiency

⋄ Remove tracks near coil hole in ND ⋄ Improves systematic uncertainty ⋄ Efficiency less important in the ND

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 37.1/ 39

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SLIDE 79

Systematics

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 38.1/ 39

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SLIDE 80

Disappearance Only

Coelho, J. A. B. (Tufts) MINOS BNL Colloquium 39.1/ 39