Spontaneous CP Violation in a SUSY Model with a complex CKM

Abstract

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.

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

References in corpus (4)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Direct CP Violating Asymmetry in B0 -> K+pi- Decays
• Evidence for Direct CP Violation in B0 -> K+- pi-+ Decays
• New Physics and Evidence for a Complex CKM

Cited by in corpus (7)

• Theory and phenomenology of two-Higgs-doublet models
• Neutrino Physics and Spontaneous CP Violation in the $\mu \nu$SSM
• CP violation and limits on New Physics including recent $B_s$ measurements
• Complex CKM matrix, spontaneous CP violation and generalized $\mu$-$\tau$ symmetry
• Yukawa Textures, New Physics and Nondecoupling
• Spontaneous CP Violating Phase as The CKM Matrix Phase
• Higgs and neutrino sector, EDM and epsilon_K in a spontaneously CP and R-parity breaking supersymmetric model