Quark mixing sum rules and the right unitarity triangle

Stefan Antusch, Stephen F. King, Michal Malinský, and Martin Spinrath
Phys. Rev. D 81, 033008 – Published 16 February 2010

Abstract

In analogy with the recently proposed lepton mixing sum rules, we derive quark mixing sum rules for the case of hierarchical quark mass matrices with 1-3 texture zeros, in which the separate up and down-type 1-3 mixing angles are approximately zero, and Vub is generated from Vcb as a result of 1-2 up-type quark mixing. Using the sum rules, we discuss the phenomenological viability of such textures, including up to four texture zeros, and show how the right-angled unitarity triangle, i.e., α90°, can be accounted for by a remarkably simple scheme involving real mass matrices apart from a single element being purely imaginary. In the framework of grand unified theories, we show how the quark and lepton mixing sum rules may combine to yield an accurate prediction for the reactor angle.

  • Figure
  • Received 13 November 2009

DOI:https://doi.org/10.1103/PhysRevD.81.033008

©2010 American Physical Society

Authors & Affiliations

Stefan Antusch1,*, Stephen F. King2,†, Michal Malinský3,‡, and Martin Spinrath1,§

  • 1Max-Planck-Institut für Physik (Werner-Heisenberg Institut) Föhringer Ring 6, D-80805 München, Germany
  • 2School of Physics and Astronomy, University of Southampton, SO17 1BJ Southampton, United Kingdom
  • 3Department of Theoretical Physics, School of Engineering Sciences, Royal Institute of Technology (KTH), AlbaNova University Center, Roslagstullsbacken 21, 106 91 Stockholm, Sweden

  • *antusch@mppmu.mpg.de
  • king@soton.ac.uk
  • malinsky@kth.se
  • §spinrath@mppmu.mpg.de

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Issue

Vol. 81, Iss. 3 — 1 February 2010

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