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

Abstract

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 $B_d\to {\pi }^{+}{\pi }^{-}$ is close to 90${}^{\circ }$.

7 latex pages

References in corpus (3)

• Stitching the Yukawa Quilt
• The Breaking of Subnuclear Democracy as the Origin of Flavour Mixing
• Implications of the Top Quark Mass Measurement for the CKM Parameters, $x_s$ and CP Asymmetries

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