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    Comment on Jarlskog’s conditions for CP invariance

    M. Gronau

    R. Loewy

    • Department of Physics, Technion, Haifa, Israel
    • Department of Physics, Technion, Haifa, Israel

    • Department of Mathematics, Technion, Haifa, Israel

    Phys. Rev. D 39, 986 – Published 1 February, 1989

    DOI: https://doi.org/10.1103/PhysRevD.39.986

    Abstract

    In a previous work we derived for the quark mass matrices in the standard model with any number of families, n, a set of basis-independent conditions, which are necessary and sufficient for CP invariance. Very recently Jarlskog claimed to have reduced the number of these conditions for n>3 to (1/2(n-1)(n-2)=the number of Kobayashi-Maskawa-type phases. We prove that in general her conditions are insufficient for CP conservation.

    Comments & Replies

    Original Article

    Flavor projection operators and applications to CP violation with any number of families

    C. Jarlskog
    Phys. Rev. D 36, 2128 (1987)

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