Circumstantial evidence for rotating mass matrix from fermion mass and mixing dataJ. Bordes1, Chan Hong-Mo2, 3 and Tsou Sheung Tsun4
1 Departament Fisica Teorica, Universitat de Valencia, calle Dr. Moliner 50, 46100 Burjassot (Valencia), Spain
2 Rutherford Appleton Laboratory, Chilton, Didcot, Oxon, OX11 0QX, UK
3 NAPL, Department of Physics, University of Oxford, Oxford, UK
4 Mathematical Institute, University of Oxford, 24-29 St. Giles', Oxford, OX1 3LB, UK
(Received: 27 August 2002 / Published online: 24 January 2003 )
It is shown that existing data on the mixing between up and down fermion states and on the hierarchical mass ratios between fermion generations, as far as can be so analyzed at present, are all consistent with the two phenomena being both consequences of a mass matrix rotating in generation space with changing energy scale. As a result, the rotating mass matrix can be traced over some 14 orders of magnitude in energy from the mass scale of the t quark at 175 GeV to below that of the atmospheric neutrino at 0.05 eV.
© Società Italiana di Fisica, Springer-Verlag 2003