The hypothesis of a real Cabibbo Kobayashi Maskawa matrix

The hypothesis of a real Cabibbo-Kobayashi-Maskawa matrix has been considered and found to be disfavoured by present measurements even when neglecting results from CP violation in neutral Kaon decay. The Best Linear Unbiased Estimator has been used as a statistical approach to compute the Confidence Level. A new way to take into account the information from Bs mesons oscillations has been considered, reducing considerably the error on extractions of rho and eta parameter of the Wolfenstain parametrization of the matrix.