How Does the Neutrino Mass Matrix Connect to Up-Quark Masses?

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The discussion centers on Yoshio Koide's 2008 paper proposing a novel connection between the neutrino mass matrix and up-quark masses through vacuum expectation values of U(3) flavor nonet scalars. This approach results in an empirical neutrino mass matrix that correlates with up-quark and charged lepton masses, facilitating nearly tribimaximal mixing without the need for discrete symmetry assumptions. The paper emphasizes the implications of this model for understanding mass spectra in particle physics.

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  • Understanding of neutrino mass matrices
  • Familiarity with quark and lepton mass theories
  • Knowledge of U(3) flavor symmetries
  • Basic concepts of vacuum expectation values in quantum field theory
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  • Research "U(3) flavor nonet scalars" in particle physics
  • Study "tribimaximal mixing" and its implications
  • Explore "seesaw mechanism" in neutrino mass generation
  • Investigate empirical models of quark and lepton masses
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Particle physicists, theoretical physicists, and researchers interested in the connections between neutrino and quark mass models.

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http://arxiv.org/abs/0803.3101
Empirical Neutrino Mass Matrix Related to Up-Quark Masses
Yoshio Koide
12 pages, 2 figures
(Submitted on 21 Mar 2008)

"A new approach to quark and lepton masses is proposed: the mass spectra originate in vacuum expectation values of U(3) flavor nonet (gauge singlet) scalars. As an offshoot of this approach, we find an empirical neutrino mass matrix which is described in terms of the up-quark and charged lepton masses and which leads to a nearly tribimaximal mixing without assuming any discrete symmetry."
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