Possible Effects of Noncommutative Geometry on Weak CP Violation and Unitarity Triangles

Physics – High Energy Physics – High Energy Physics - Phenomenology

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RexTev 16 pages. Modifications made. References added. Accepted for publication in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.66.056009

Possible effects of noncommutative geometry on weak CP violation and unitarity triangles are discussed by taking account of a simple version of the momentum-dependent quark mixing matrix in the noncommutative standard model. In particular, we calculate nine rephasing invariants of CP violation and illustrate the noncommutative CP-violating effect in a couple of charged D-meson decays. We also show how inner angles of the deformed unitarity triangles are related to CP-violating asymmetries in some typical B_d and B_s transitions into CP eigenstates. B-meson factories are expected to help probe or constrain noncommutative geometry at low energies in the near future.

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