Parameters' domain in three flavour neutrino oscillations

Details Parameters' domain in three flavour neutrino oscillations Parameters' domain in three flavour neutrino oscillations

2001-06-26

arxiv.org/abs/hep-ph/0106283v2

Phys.Lett. B517 (2001) 158-166

Physics

High Energy Physics

High Energy Physics - Phenomenology

references added, to appear in PLB

Scientific paper

10.1016/S0370-2693(01)00962-5

We consider analytically the domain of the three mixing angles $\Theta_{ij}$ and the CP phase $\delta$ for three flavour neutrino oscillations both in vacuum and matter. Similarly to the quark sector, it is necessary and sufficient to let all the mixing angles $\Theta_{12},\Theta_{13},\Theta_{23}$ and $\delta$ be in the range $<0,\frac{\pi}{2}>$ and $0 \leq \delta < 2 \pi$, respectively. To exploit the full range of $\delta$ will be important in future when more precise fits are possible, even without CP violation measurements. With the above assumption on the angles we can restrict ourselves to the natural order of masses $m_1

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