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Solar Neutrino Oscillations<br />

P ee = sin 2 (2θ) sin 2 (1.27Δm 2 L / E)<br />

• Physics:<br />

Δm 2 & sin(2θ)<br />

• Experiment:<br />

Distance (L) & Energy (E)<br />

Δm<br />

2<br />

3 Parameters !<br />

Δm<br />

≡ Δm<br />

2<br />

=<br />

2<br />

12<br />

m<br />

andθ ≡θ<br />

2<br />

2<br />

−<br />

m<br />

12<br />

2<br />

1<br />

θ = Mixing angle<br />

⎛<br />

⎜<br />

⎜<br />

⎝<br />

ν e<br />

ν μ<br />

ν τ<br />

⎞ ⎛ U e1<br />

U e2<br />

U e3<br />

⎟<br />

⎟ = ⎜<br />

U μ1<br />

U μ2<br />

U μ3<br />

⎜<br />

⎠ ⎝ U τ1<br />

U τ2<br />

U τ3<br />

⎞<br />

⎟<br />

⎟<br />

⎠<br />

⎛<br />

⎜<br />

⎜<br />

⎝<br />

ν 1<br />

ν 2<br />

ν 3<br />

⎞<br />

⎟<br />

⎟<br />

⎠<br />

The state evolves with<br />

time or distance<br />

FAAQ2006 Alain Bellerive 41

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