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A basis independent formulation of the connection between quark mass matrices, CP violation and experiment

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Zeitschrift für Physik C Particles and Fields

Abstract

In the standard eletroweak model, with three families, a one-to-one correspondence between certain determinants involving quark mass matrices (m andm′ for charge 2/3 and −1/3 quarks respectively) and the presence/absence of CP violation is given. In an arbitrary basis for mass matrices, the quantity Im det [mm +,m′m′ +] appropriately normalized is introduced as a measure of CP violation. By this measure, CP is not maximally violated in any transition in Nature. Finally, constraints on quark mass matrices are derived from experiment. Any model of mass matrices, with the ambition to explain Nature, must satisfy these conditions.

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Author notes

  1. C. Jarlskog

    Present address: Department of Physics, University, S-11346, Stockholm, Sweden

Authors and Affiliations

  1. Department of Physics, University, N-5014, Bergen, Norway

    C. Jarlskog

  2. CERN, Geneva 23, Switzerland

    C. Jarlskog

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  1. C. Jarlskog
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Jarlskog, C. A basis independent formulation of the connection between quark mass matrices, CP violation and experiment. Z. Phys. C - Particles and Fields 29, 491–497 (1985). https://doi.org/10.1007/BF01565198

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  • DOI: https://doi.org/10.1007/BF01565198

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