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Article Dans Une Revue Symmetry Année : 2020

Informationally Complete Characters for Quark and Lepton Mixings

Résumé

A popular account of the mixing patterns for the three generations of quarks and leptons is through the characters k of a finite group G. Here, we introduce a d-dimensional Hilbert space with d = cc(G), the number of conjugacy classes of G. Groups under consideration should follow two rules, (a) the character table contains both two- and three-dimensional representations with at least one of them faithful and (b) there are minimal informationally complete measurements under the action of a d-dimensional Pauli group over the characters of these representations. Groups with small d that satisfy these rules coincide in a large part with viable ones derived so far for reproducing simultaneously the CKM (quark) and PNMS (lepton) mixing matrices.

Dates et versions

hal-03053068 , version 1 (10-12-2020)

Identifiants

Citer

Michel Planat, Raymond Aschheim, Marcelo M Amaral, Klee Irwin. Informationally Complete Characters for Quark and Lepton Mixings. Symmetry, 2020, 12 (6), pp.1000 (12). ⟨10.3390/sym12061000⟩. ⟨hal-03053068⟩
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