The authors examine extraction of lepton mixing matrix elements from spectral data in neutrino oscillation experiments including matter effects and test unitarity via a vanishing quantity in a four-generation model.
Waiting for the Top Quark Mass, K^+ --> \pi^+ \nu \bar\nu, B_s^0-\bar{B}_s^0 Mixing and CP Asymmetries in B-Decays
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abstract
Anticipating improved determinations of m_t, |V_ub/V_cb|, B_K and F_B \sqrt{B_B} in the next five years we make an excursion in the future in order to find a possible picture of the unitarity triangle, of quark mixing and of CP-violation around the year 2000. We then analyse what impact on this picture will have the measurements of four possibly cleanest quantities: BR(K^+ --> \pi^+ \nu \bar\nu), x_d/x_s, sin(2\alpha) and \sin(2\beta). Our analysis shows very clearly that there is an exciting time ahead of us. In the course of our investigations we extend the analysis of the unitarity triangle beyond the leading order in \lambda and we derive several useful analytic formulae for quantities of interest.
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Impact of matter effects on the unitarity test of lepton mixing
The authors examine extraction of lepton mixing matrix elements from spectral data in neutrino oscillation experiments including matter effects and test unitarity via a vanishing quantity in a four-generation model.