Probing Supersymmetric Flavor Models with ${\epsilon }^{\prime }/\epsilon$

Abstract

We discuss the supersymmetric contribution to ${\epsilon }^{\prime }/\epsilon$ in various supersymmetric flavor models. We find that in alignment models the supersymmetric contribution could be significant while in heavy squark models it is expected to be small. The situation is particularly interesting in models that solve the flavor problems by either of the above mechanisms and the remaining CP problems by means of approximate CP, that is, all CP violating phases are small. In such models, the standard model contributions cannot account for ${\epsilon }^{\prime }/\epsilon$ and a failure of the supersymmetric contributions to do so would exclude the model. In models of alignment and approximate CP, the supersymmetric contributions can account for ${\epsilon }^{\prime }/\epsilon$ only if both the supersymmetric model parameters and the hadronic parameters assume rather extreme values. Such models are then strongly disfavored by the ${\epsilon }^{\prime }/\epsilon$ measurements. Models of heavy squarks and approximate CP are excluded.

16 pages, harvmac. v2: We added a discussion of the intriguing implications that would follow if a recent lattice result is confirmed

Cited by in corpus (12)

• The Physics of the B Factories
• Effective Hamiltonian for Non-Leptonic |Delta F| = 1 Decays at NNLO in QCD
• epsilon'/epsilon and Rare K and B Decays in the MSSM
• Quark-Squark Alignment Revisited
• CP Violation in Hyperon Decays from Supersymmetry
• CP Violation: The CKM Matrix and New Physics
• Gluino-squark contributions to CP violations in the kaon system
• Solving the SUSY CP problem with flavor breaking F-terms
• CP Violation and the Scale of Supersymmetry Breaking
• Flavour issues for string-motivated heavy scalar spectra with a low gluino mass: the G2-MSSM case
• Comment on the Matrix Element of $O_{11}$
• Chargino contributions to ${\epsilon }^{\prime }/\epsilon$ in the left-right supersymmetric model