Unitarity triangle angles explained: a predictive new quark mass matrix texture
by
R61 CR03 (RAL)
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 zero texture, but the main innovation here is a “geometric” ansatz that exploits 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 α≡ϕ_2≃π/2 and β≡ϕ_1≃π/8.
Biography:
Paul Harrison worked on the WA78 beauty production experiment for his PhD at UCL and on the CPLEAR neutral Kaon experiment as a PDRA at Liverpool. As an academic at QMUL, he worked on Babar and became its first Physics Coordinator in 1993. He also worked in flavour phenomenology, writing a number of highly-cited papers, particularly on leptonic mixing with Don Perkins and Bill Scott. He moved to Warwick in 2004 to found the EPP Group, and later joined the ATLAS experiment, where he currently works in CKM measurements using on-shell W decays in top pair events. In this seminar, he reviews his latest publication in phenomenology.