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## PowerPoint Slideshow about '3 Neutrino Oscillation and Off-axis Experiments' - declan

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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

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

- 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

Using 3 ranges from solar, atmospheric and reactor data:

Solar{

LMA

Atm{

Reactor

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

- 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

- 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?

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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