Solution to the strong CP problem with gauge-mediated supersymmetry breaking

Journal Article · Wed Jul 01 04:00:00 EDT 1998 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.58.015002· OSTI ID:636219

Kong, O C ^[1]; Wright, B D ^[1]

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1. Institute of Field Physics, Department of Physics and Astronomy, University of North Carolina, Chapel Hill, North Carolina 27599-3255 (United States)

We demonstrate that a certain class of low scale supersymmetric {open_quotes}Nelson-Barr{close_quotes} type models can solve the strong and supersymmetric CP problems, while at the same time generating sufficient weak CP violation in the K{sup 0}-{bar K}{sup 0} system. In order to prevent one-loop corrections to {bar {theta}} which violate bounds coming from the neutron electric dipole moment (EDM), one needs a scheme for the soft supersymmetry breaking parameters which can naturally give sufficient squark degeneracies and proportionality of trilinear soft supersymmetry-breaking parameters to Yukawa couplings. We show that a gauge-mediated supersymmetry breaking sector can provide the needed degeneracy and proportionality, though that proves to be a problem for generic Nelson-Barr models. The workable model we consider here has the Nelson-Barr mass texture enforced by a gauge symmetry; one also expects a new U(1) gauge superfield with mass in the TeV range. The resulting model is predictive. We predict a measureable neutron EDM and the existence of extra vector-like quark superfields which can be discovered at the CERN Large Hadron Collider. Because the 3{times}3 Cabbibo-Kobayashi-Maskawa matrix is approximately real, the model also predicts a flat unitarity triangle and the absence of substantial CP violation in the B system at future B factories. We discuss the general issues pertaining to the construction of such a workable model and how they lead to the successful strategy. A detailed renormalization group study is then used to establish the feasibility of the model considered. {copyright} {ital 1998} {ital The American Physical Society}

• OSTI ID: 636219
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 1 Vol. 58; ISSN 0556-2821; ISSN PRVDAQ
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CP INVARIANCE
ELECTRIC DIPOLE MOMENTS
GAUGE INVARIANCE
KAONS
KOBAYASHI-MASKAWA MATRIX
NEUTRONS
RENORMALIZATION
SUPERSYMMETRY
SYMMETRY BREAKING
U-1 GROUPS
UNIFIED GAUGE MODELS
UNITARITY
YUKAWA POTENTIAL