Etudes des proprietes des neutrinos dans les contextes ...

tel-00450051, version 1 - 25 Jan 2010
Flux Ratio
2
1.5
1
0.5
Flux Ratio
0 10 20 30 40 50 60 70 80 90 100
Neutrino Energy (MeV)
8
6
4
2
Flux Ratio
1.1
1.05
1
0.95
Figure 4.6: Same as Fig.4.5 but at 1000 km.
0
0 20 40 60 80 100
Neutrino Energy (MeV)
Flux Ratio
0.9
0 20 40 60 80 100
Neutrino Energy (MeV)
8
6
4
2
0 20 40 60 80 100
Neutrino Energy (MeV)
Figure 4.7: Same as Fig.4.6 but for the νµ flux ratios.
where the upper (lower) sign refers to neutrinos (antineutrinos), E = (p 2 + m 2 ν) 1
2
is the neutrino energy,
K(p, mν) ≡ 1
(E + mν) 1 +
4E
p
E + mν
2
(4.42)
and CV νlf and CA νlf are the vector and axial-vector couplings in the expression of
the neutrino scattering amplitude matrix:
M(νlf → νlf) = −i GF
√2νlγ α (1 − γ 5 )νlfγα(C V νlf + γ5C A νlf )f (4.43)
where f is a generic fermion. This relation is valid for homogeneous, isotropic
media and for scattering amplitudes sufficiently small, i.e n − 1 ≪ 1. For an
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