The rotating mass matrix, the strong CP problem and Higgs decay
Mathematical Institute, University of Oxford, Oxford, OX1 3LB, UK
Published online: 23 November 2010
We first show that the rotating mass matrix hypothesis suggested earlier, where the massive eigenvector of a rank-one mass matrix changes with renormalisation scale, is consistent with the latest experimental data on fermion mass hierarchy and mixing, including the CP violating KM phase. We obtain thereby a smooth trajectory for the massive eigenvector as a function of the scale. Using this trajectory we next study Higgs decay and find suppression of compared to the standard model predictions for a range of Higgs masses. We also give limits for flavour-violating decays, including a relatively large branching ratio for the τ − μ + mode.
© Springer-Verlag / Società Italiana di Fisica, 2010