Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-05-03
Nucl.Phys.B608:394-422,2001
Physics
High Energy Physics
High Energy Physics - Phenomenology
LaTeX, 28 pages, 6 eps figures. A reference added. Final version to be published in Nucl. Phys. B
Scientific paper
10.1016/S0550-3213(01)00261-9
We consider the interplay of fundamental and matter-induced T violation effects in neutrino oscillations in matter. After discussing the general features of these effects we derive a simple approximate analytic expression for the T-violating probability asymmetry \Delta P^T_{ab} for three-flavour neutrino oscillations in a matter with an arbitrary density profile in terms of the two-flavour neutrino amplitudes. Explicit examples are given for the cases of a two-layer medium and for the adiabatic limit in the general case. We then discuss implications of the obtained results for long baseline experiments. We show, in particular, that asymmetric matter effects cannot hinder the determination of the fundamental CP and T-violating phase \delta_{CP} in the long baseline experiments as far as the error in this determination is larger than 1% at 99% C.L. Since there are no T-violating effects in the two-flavour case, and in the limits of vanishing \theta_{13} or \Delta m_{21}^2 the three-flavour neutrino oscillations effectively reduce to the two-flavour ones, studying the T-violating asymmetries \Delta P^T_{ab} can in principle provide us with a complementary means of measuring \theta_{13} and \Delta m_{21}^2.
Akhmedov Eugene Kh.
Huber Patrick
Lindner Manfred
Ohlsson Tommy
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