3 neutrino oscillation and off axis experiments
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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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Presentation Transcript
2 neutrino oscillations
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

2 neutrino results
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

3 neutrino oscillation
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?

3 neutrino mixing matrix
3 Neutrino Mixing Matrix

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

Solar{

LMA

Atm{

Reactor

slide7
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:

reality is slightly more complex
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
off axis experiments and superbeams
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 +->+ + 
why off axis
Why Off-Axis?

Neutrino energy in pion rest frame:

assuming:

Set * to 90°:

Neutrino spectrum:

why off axis11
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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