Etudes des proprietes des neutrinos dans les contextes ...

tel-00450051, version 1 - 25 Jan 2010
This last formula prove that the function fe is not the constant zero function
Aee = Bee and consequently:
P(νe → νe, δ = 0) = P(νe → νe, δ = 0) (4.75)
Therefore , when δ is taken non zero, it has an influence on the value of P(νe →
νe, δ). The νe and ¯νe fluxes will depend on δ even when the luminosities Lνµ and
Lντ are taken equal at the neutrino-sphere:
φνe(δ) = LνeP(νe → νe, δ) + Lνµ (P(νµ → νe) + P(ντ → νe))
= LνeP(νe → νe, δ) + Lνµ (1 − P(νe → νe, δ))
= (Lνe − Lνµ)P(νe → νe, δ) + Lνµ
(4.76)
This analytical derivation proving that, if the dependence on δ of the evolution
operator cannot be factorized then the electron neutrino survival probability depends
on δ, is the first to be performed. Nevertheless, this implication had been
observed numerically. We can easily generalize this derivation which implies that
as soon as the medium effect on νµ and on ντ is not the same, effects of the CPviolating
phase on the electron neutrino (and anti-neutrino) fluxes will appear.
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