Supersymmetry and the Nelson-Barr Mechanism

Abstract

One possible solution to the strong CP problem is that CP is an exact symmetry, spontaneously broken at some scale. Some years ago, Nelson and Barr suggested a mechanism for obtaining $\theta =0$ at tree level in this framework, and showed that radiative corrections were small in some non-supersymmetric models. Further investigations suggested that the same could be true in supersymmetric theories. In this note, we show that these analyses assumed an extraordinarily high degree of degeneracy among squark masses and among other supersymmetry breaking parameters. We argue, using naturalness as well as expectations from string theory, that this is not very plausible.

24 pages, 3 figures, phyzzx format; minor adjustments made

References in corpus (2)

• Duality Anomaly Cancellation, Minimal String Unification and the Effective Low-Energy Lagrangian of 4-D Strings
• Soft SUSY Breaking Terms in Stringy Scenarios: Computation and Phenomenological Viability

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