A Symmetry Pattern of Maximal CP-Violation and a Determination of the Unitarity Triangle

Details A Symmetry Pattern of Maximal CP-Violation and a Determination of the Unitarity Triangle A Symmetry Pattern of Maximal CP-Violation and a Determination of the Unitarity Triangle

1995-02-14

arxiv.org/abs/hep-ph/9502297v1

Phys.Lett.B353:114-118,1995

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 latex pages

Scientific paper

10.1016/0370-2693(95)00545-V

Within a specific texture of the quark mass matrix the notion of a maximal violation of the $CP$ symmetry can be defined. The experimental constraints from weak decays imply that in reality one is close to the case of maximal $CP$ violation, which vanishes as the mass of the $u$--quark approaches zero. The unitarity triangle of the Cabibbo--Kobayashi--Maskawa matrix elements is determined. It is related to the triangle relating the Cabibbo angle to the quark mass ratios in the complex plane. The angle $\alpha $ describing the $CP$ violation in the decay $B_d \rightarrow \pi^+ \pi^-$ is close to 90$^{\circ }$.

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