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3 Neutrino Oscillation and Off-axis Experiments. David Barnhill UCLA May 30, 2003. 2 Neutrino Oscillations. Already talked about two different n oscillations : Solar n Atmospheric n

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3 neutrino oscillation and off axis experiments l.jpg

3 Neutrino Oscillation and Off-axis Experiments

David Barnhill

UCLA

May 30, 2003


2 neutrino oscillations l.jpg
2 Neutrino Oscillations

  • Already talked about two different noscillations:

    • Solar n

    • Atmospheric n

  • Flavor states are superposition of mass eigenstates (Greek subscript is flavor and Roman subscript is mass state):

where


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2 Neutrino Results

With m2sol ~ 5 x 10-5 eV2 & m2atm ~ 3 x 10-3 eV2

But when plotting tan2 and not sin22, we know m1<m2<m3



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3 Neutrino Oscillation

  • Reality is that there are 3 neutrino flavors (or possibly 4 or more) and 3 neutrino mass eigenstates

    • This means neutrinos can oscillate between all three flavors

How many parameters?


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3 Neutrino Mixing Matrix

Using 3 ranges from solar, atmospheric and reactor data:

Solar{

LMA

Atm{

Reactor


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13

  • Why is 13 important?

    • It is easily singled out in Ue3 matrix element and is directly linked to CP violating phase element

  • How do we measure 13?

    • Use  e experiment

(To leading order)

If the experiment is performed at the peak of this probability:

Using CHOOZ limit, maximum appearance probability is 5%

2 neutrino case:


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Reality is slightly more complex

  • The neutrinos must pass through matter, it’s not a vacuum oscillation

  • We need to include CP violating phase effects


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Off-Axis Experiments and Superbeams

  • Two proposed experiments to be off-axis experiments using “superbeams”

    • NuMI

    • JHF-SK

  • Basically the idea is to create + by p+p collision, focus these + and get  from +->+ + 


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Why Off-Axis?

Neutrino energy in pion rest frame:

assuming:

Set * to 90°:

Neutrino spectrum:


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Why Off-Axis?

We see that as theta increases, there is a maximum for the neutrino energy with a wide range of pion energies contributing to it.

If we desire an enhancement at a particular neutrino energy, we look close to the max as given on the previous page.



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