A Non-Semisimple Hidden Symmetry for Flavor Physics(Particles and Fields)

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概要

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• With linearly independent elements extracted from unitary 3×3 matrix representations Rep(S_3) of the permutation group S_3, a non-semisimple algebra A^^<⌣> and its associated Lie group G^^<⌣>(A^^<⌣>) are constructed for the purpose of describing flavor physics. While the group G^^<⌣>(A^^<⌣>) is isomorphic to the SU(2)×U(1) group, the algebra A^^<⌣> has a unique, elaborate structure. A flavor-mixing matrix that is completely different from that of the conventional theory is expressed in terms of four group parameters of the Lie group in an essentially unique way. Adjusting the values of the group parameters of the flavor-mixing matrix for quark sector allows us to account for experimental results to high precision. In order to describe the mass matrices leading to hierarchical mass spectra, a minimal extension of the algebra A^^<⌣> is made by adding an additional element.

• 2005-10-25

著者

• SOGAMI Ikuo

  Physics Department, Kyoto Sangyo University

• Sogami Ikuo

  Kyoto Sangyo Univ. Kyoto Jpn

• Sogami Ikuo

  Physics Department Kyoto Sangyo University

関連論文

• Gauge Field Theory of Horizontal Symmetry Generated by a Central Extension of the Pauli Algebra(Particles and Fields)
• Notes on Flavor Mixing Matrices Characterized by SU(2)×U(1) Group Parameters
• Sum Rules for Elements of Flavor-Mixing Matrices Based on a Non-Semisimple Symmetry
• A Non-Semisimple Hidden Symmetry for Flavor Physics(Particles and Fields)
• Dirac Mass Matrices in Gauge Field Theory of Horizontal Symmetry(Particles and Fields)

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