Denys Wilkinson Building, Department of Physics, University of Oxford, Keble Road, Oxford OX1 3RH
Paul Harrison, University of Warwick
Abstract
We propose a novel quark mass matrix texture-pair with five free parameters, which fits the four quark mass ratios m_s/m_b, m_d/m_b, m_c/m_t, m_u/m_t, and the four CKM quark mixing observables. The matrices each have one texture zero, but the main innovation here is a ``geometric'' ansatz exploiting a pair of small complex expansion parameters, based on the geometry of the Unitarity Triangle. The fit to the observables is in good agreement with current experimental values renormalised to ~10^4 TeV, and offers decisive tests against future high-precision measurements of the unitarity triangle angles at the weak scale. We identify two novel symmetries of these mass matrices which explain the phenomenologically-successful relations alpha ~ pi/2 and beta ~ pi/8.