symmetric geometric mass hierarchy
Within the framework of the symmetric universal see-saw pattern, the Fermi mass hierarchy is governed by an intriguing Diophantine equation ( non-negative and distinct). The unique non-trivial solution of this equation 3=0+1+2 corresponds to a geometric spectrum , , , with denoting the see-saw hierarchy parameter, for exactly N = 3 families. This idea is realized in a model where the hybrid, but still symmetric, quark mass relations play a crucial role in expressing the Cabibbo - Kobayashi - Maskawa mixings in terms of simple mass (rather than square-mass) ratios, notably .
Document Type: Miscellaneous
Physics Department, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel
Physics Department, Syracuse University, Syracuse NY, NY 13244-1130, USA
Publication date: September 1, 1998