Spontaneous CP Violation in a SUSY Model with a complex CKM

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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12 pages. Uses the elsart.cls LaTeX class. Minor corrections and references added

Scientific paper

10.1016/j.physletb.2006.06.079

It is pointed out that the recent measurement of the angle $\gamma$ of the unitarity triangle, providing irrefutable evidence for a complex Cabibbo-Kobayashi-Maskawa (CKM) matrix, presents a great challenge for supersymmetric models with spontaneous CP violation. We construct a new minimal extension of the minimal supersymmetric standard model (MSSM), with spontaneous CP breaking, which leads to a complex CKM matrix, thus conforming to present experimental data. This is achieved through the introduction of two singlet chiral superfields and a vector-like quark chiral superfield which mixes with the standard quarks. A $Z_3$ symmetry is introduced in order to have a potential solution to the strong CP problem.

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