fast & curious 3 - centro de ciencias de benasque pedro...
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Fast & Curious 3BSModel. Original Parts.Gabriela Barenboim, TAE, September 15
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Daya Bay 13 miserably small !!!
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Can I have it ?
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CPT-
odd
asym
met
ry
E (GeV)
For very long baselines and atmospheric neutrinos...
INO
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2
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Type I see-saw mechanism Type II see-saw mechanism
R
LL
2
II c uLL L L
vm YM
Types of see-saw mechanism
L L
Heavy triplet
cRR R RM
1I TLL LR RR LRm m M m
Y
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( )2
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How we can find out ?
x
p
p
n
n
e
e
SM double weak process
4 body decay: continuos spectrum for the e
energy sum
How we can find out ?
x
p
p
n
n
e
e
SM double weak process
4 body decay: continuos spectrum for the e
energy sum
x
p
p
n
n
e
e
Only allowed for Majorana
2 body decay: e energy sum is a delta
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i is emitted ( RH + O(mi/E) LH )
Amp[i contribution] ∂ mi
Amp[0] ∂ | S mi Uei2|
x
p
n
n
e
e
effective mass
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m=| S mi Uei2|
Test KK may look easy but nobody did it completely …
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Some exotic (and not so exotic) scenarios
Non standard neutrino interactions
CPT violation
Violations of Lorentz invariance
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fPflPG RLLF ,22
Non standard neutrino interactions
They can be described by effective four‐fermionoperators of the form
W
NSNI
NSNI can appear at every step. It is thereforenecessary to break down the analysis in threestages
• the production process
• the time evolution
• the detection process
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Lets have a look at what is called the “golden ” channel in a neutrino factory
The system consists of an initial state
A + T
and a final state
C + U
state of the parent particle
state of the target
state of the particle producing and identifiable event
unobserved particles
intermediate state B
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The system consists of an initial state
A + T
and a final state
C + U
state of the parent particle
state of the target
state of the particle producing and identifiable event
unobserved particles
intermediate state B
For a neutrino factory : A ‐ C+
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Production and detection involve charged current NSNI
→ n → p l
dPuPlG RLLud
F ,22
ePPG LLe
F
22
13.0016.0011.0
013.0078.0106.2
041.0025.0041.05ud
03.003.0025.0
03.003.0025.0
03.003.0025.0e
We are left “only” with neutral current NSNI
fPfPG RLLF ,22
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Kopp et al. 1009.0014
neutrino
antineutrino
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CPT violation
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Distinguishing CPT violation from NSNI
The muon neutrino survival probability in matter can be written as
in matter
Violations of Lorentz invariance
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Violations of Lorentz invariance
standard Lorentz covariant term
violates both CPT and Lorentz invariance
Lorentz violation
Violations of Lorentz invariance
standard Lorentz covariant term
violates both CPT and Lorentz invariance
Lorentz violation
As usual, the oscillation probability is governed by the difference of the eigenvalues of the effective hamiltonian.
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1 2 3 4 5 6 7 8energy
0.2
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1.0P
1 2 3 4 5 6 7 8energy
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1.0P
1 2 3 4 5 6 7 8energy
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1 2 3 4 5 6 7 8energy
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V.Kostelecky and N. RussellRev.Mod.Phys. 83 (2011) 11e‐Print: arXiv:0801.0287
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sin2(213) = 0.089 0.011