On the Unitarity Triangles of the CKM Matrix

Details On the Unitarity Triangles of the CKM Matrix On the Unitarity Triangles of the CKM Matrix

1994-06-12

arxiv.org/abs/hep-ph/9406292v2

Phys.Lett.B341:386-390,1995

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 Latex pages; LMU-07/94 and PVAMU-HEP-94-5 (A few minor changes are made, accepted for publication in Phys. Lett. B)

Scientific paper

10.1016/0370-2693(94)01312-Z

The unitarity triangles of the $3\times 3$ Cabibbo-Kobayashi-Maskawa (CKM) matrix are studied in a systematic way. We show that the phases of the nine CKM rephasing invariants are indeed the outer angles of the six unitarity triangles and measurable in the $CP$-violating decay modes of $B_{d}$ and $B_{s}$ mesons. An economical notation system is introduced for describing properties of the unitarity triangles. To test unitarity of the CKM matrix we present some approximate but useful relations among the sides and angles of the unitarity triangles, which can be confronted with the accessible experiments of quark mixing and $CP$ violation.

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