Unitarity triangle angles explained: a predictive new quark mass matrix texture

25 Nov 2025
Seminars and colloquia
Time
Venue
Dennis Sciama Lecture Theatre
Denys Wilkinson Building, Department of Physics, University of Oxford, Keble Road, Oxford OX1 3RH
Speaker(s)

Paul Harrison, University of Warwick

Seminar series
Experimental particle physics seminar

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.