  It is shown that if, from the starting point of a universal rank-one mass
matrix long favoured by phenomenologists, one adds the assumption that it
rotates (changes its orientation in generation space) with changing scale, one
can reproduce, in terms of only 6 real parameters, all the 16 mass ratios and
mixing parameters of quarks and leptons. Of these 16 quantities so reproduced,
10 for which data exist for direct comparison (i.e. the CKM elements including
the CP-violating phase, the angles $\theta_{12}, \theta_{13}, \theta_{23}$ in
$\nu$-oscillation, and the masses $m_c, m_\mu, m_e$) agree well with
experiment, mostly to within experimental errors; 4 others ($m_s, m_u, m_d,
m_{\nu_2}$), the experimental values for which can only be inferred, agree
reasonably well; while 2 others ($m_{\nu_1}, \delta_{CP}$ for leptons), not yet
measured experimentally, remain as predictions. In addition, one gets as
bonuses, estimates for (i) the right-handed neutrino mass $m_{\nu_R}$ and (ii)
the strong CP angle $\theta$ inherent in QCD. One notes in particular that the
output value for $\sin^2 2 \theta_{13}$ from the fit agrees very well with
recent experiments. By inputting the current experimental value with its error,
one obtains further from the fit 2 new testable constraints: (i) that
$\theta_{23}$ must depart from its "maximal" value: $\sin^2 2 \theta_{23} \sim
0.935 \pm 0.021$, (ii) that the CP-violating (Dirac) phase in the PMNS would be
smaller than in the CKM matrix: of order only $|\sin \delta_{CP}| \leq 0.31$ if
not vanishing altogether.

High Energy Physics - Phenomenology