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

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 Bd and Bs transitions into CP eigenstates. B-meson factories are expected to help probe or constrain noncommutative geometry at low energies in the near future. PACS number(s): 11.90.+t, 11.30.Er, 12.60.-i Typeset using REVTEX