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tel-00450051, version 1 - 25 Jan 2010<br />

Chapter 8<br />

CP-violation effects on the<br />

neutrino degeneracy parameter<br />

There are presently three observational evidences for the Big Bang Model: the<br />

universal expansion, the Cosmic Microwave Background Radiation (CMBR), and<br />

the Big Bang Nucleosynthesis (BBN) (also called primordial nucleosynthesis).<br />

The latter evidence provi<strong>des</strong> a probe of the Universe during its early evolution<br />

[107]. Indeed, it is during this epoch that the primordial abundances of light<br />

nucli<strong>des</strong> (D, 3 He, 4 He, and 7 Li) were produced. They are sensitive to the universal<br />

density of baryons and to the early Universe expansion rate, which at early times<br />

is governed by the energy density of relativistic partic<strong>les</strong> such as photons and<br />

<strong>neutrinos</strong>.<br />

At a certain time, just before BBN, <strong>neutrinos</strong> decouple from matter and will<br />

conserve their thermal spectrum with a proper rescaling of the parameters due to<br />

redshift as the Universe will expand. Such relic neutrino background has never<br />

been directly detected so we must resort to indirect means to infer its properties.<br />

One of the most useful tools available is naturally BBN [111]. By putting neutrino<br />

oscillations together with BBN, we may shed light on neutrino properties and/or<br />

cosmology. Our aim in this chapter is to investigate the influence of the CPviolating<br />

phase, contained in the MNSP matrix, on the value of the electron<br />

neutrino lepton asymmetry.<br />

8.1 Introduction<br />

8.1.1 The neutrino degeneracy parameter and implications<br />

In the very early Universe, baryon-antibaryon pairs were as abundant as radiation.<br />

As the Universe expands and cools, the pairs annihilate, leaving behind<br />

any baryon excess established during the earlier evolution of the Universe. Subse-<br />

135

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