Supersymmetry and the Nelson-Barr mechanism

Dine, Michael; Leigh, Robert G.; Kagan, Alex

doi:10.1103/physrevd.48.2214

Cited by 82 publications

(131 citation statements)

References 33 publications

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“…V that the phase of B and universal phase of A do not meet the fine-tuning criterion set forth in the Introduction (see Fig 6c). Certainly, if supersymmetry is discovered at LEP 2 or TeV 33, a fundamental explanation for the absence of a neutron EDM would be needed, and any scheme for baryogenesis at the EW scale would require that mechanism to leave small effective low energy phases in the soft terms [15][16][17][18].…”

Section: Discussionmentioning

confidence: 99%

Constraints on supersymmetric soft phases from renormalization group relations

Garisto

Wells

1997

Phys. Rev. D

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By using relations derived from renormalization group equations (RGEs), we find that strong indirect constraints can be placed on the top squark mixing phase in A t from the electric dipole moment of the neutron (d n ). Since m t is large, any GUT-scale phase in A t feeds into other weak scale phases through RGEs, which in turn contribute to d n . Thus CP -violating effects due to a weak-scale A t are strongly constrained. We find that |ImA EW t | must be smaller than or of order |ImB EW |, making the electric dipole moment of the top quark unobservably small in most models. Quantitative estimates of the contributions to d n from A u , A d and B show that substantial fine-tuning is still required to satisfy the experimental bound on d n . While the low energy phases of the A's are not as strongly constrained as the phase of B EW , we note that the phase of a universal A GU T induces large contributions in the phase of B EW through RGEs, and is thus still strongly constrained in most models with squark masses below a TeV.

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Section: Discussionmentioning

confidence: 99%

Constraints on supersymmetric soft phases from renormalization group relations

Garisto

Wells

1997

Phys. Rev. D

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“…By an appropriate choice of quark masses and Yukawa couplings, a large CKM phase and θ = 0 can be arranged. Unfortunately, the biggest problem is to protect this solution from loop corrections, particularly from squarks and gauginos [389]. Since squark mass degeneracy and tight proportionality between the quark and squark mass matrices suppress the loop effects, models which solve the supersymmetric flavor problem such as gauge mediation may help provided the needed suppression [390,391].…”

Section: The Strong Cp Problemmentioning

confidence: 99%

The soft supersymmetry-breaking Lagrangian: theory and applications

Chung

Everett

Kane³

et al. 2005

Physics Reports

415

339

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After an introduction recalling the theoretical motivation for low energy (100 GeV to TeV scale) supersymmetry, this review describes the theory and experimental implications of the soft supersymmetry-breaking Lagrangian of the general minimal supersymmetric standard model (MSSM). Extensions to include neutrino masses and nonminimal theories are also discussed. Topics covered include models of supersymmetry breaking, phenomenological constraints from electroweak symmetry breaking, flavor/CP violation, collider searches, and cosmological constraints including dark matter and implications for baryogenesis and inflation.

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“…These issues are also present in Nelson-Barr models that solve strong CP with a particular form of spontaneous CP violation, and it is instructive to recall the impact of supersymmetry [9,11,12]. If SUSY is broken below the CP scale, then it solves (at least) the new hierarchy problems.…”

Section: Jhep12(2015)046mentioning

confidence: 99%

“…Cosmology also constrains composite axion models [5]. In Nelson-Barr (NB) models [6][7][8], supersymmetry can stabilize the scale of spontaneous CP violation and the electroweak scale, but also introduces new radiative sources forθ [9]. Composite NB models are similarly constrained [10,11].…”

Section: Introductionmentioning

confidence: 99%

“…Even then, the anomaly-mediated contribution to the gluino mass, mg ∼ W * 0 /M 2 p , can be problematic. 3 There are also new radiative corrections to arg det(y u y d ) at the soft SUSY-breaking scale, particularly in the presence of A-terms and squark flavor violation, which generically obtain complex values after integrating out the CP-violating sector [9]. The problems of radiative corrections from A-terms and flavor violation, as well as the anomaly-mediated gluino mass, are substantially ameliorated in low-scale SUSY-breaking with real F and gauge mediation.…”

Section: Jhep12(2015)046mentioning

confidence: 99%

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Strong CP and SUZ2

Albaid

Dine

Draper

2015

J. High Energ. Phys.

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Solutions to the strong CP problem typically introduce new scales associated with the spontaneous breaking of symmetries. Absent any anthropic argument for small θ, these scales require stabilization against ultraviolet corrections. Supersymmetry offers a tempting stabilization mechanism, since it can solve the "big" electroweak hierarchy problem at the same time. One family of solutions to strong CP, including generalized parity models, heavy axion models, and heavy η ′ models, introduces Z 2 copies of (part of) the Standard Model and an associated scale of Z 2 -breaking. We review why, without additional structure such as supersymmetry, the Z 2 -breaking scale is unacceptably tuned. We then study "SUZ 2 " models, supersymmetric theories with Z 2 copies of the MSSM. We find that the addition of SUSY typically destroys the Z 2 protection ofθ = 0, even at tree level, once SUSY and Z 2 are broken. In theories like supersymmetric completions of the twin Higgs, where Z 2 addresses the little hierarchy problem but not strong CP, two axions can be used to relaxθ.

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Supersymmetry and the Nelson-Barr mechanism

Cited by 82 publications

References 33 publications

Constraints on supersymmetric soft phases from renormalization group relations

Constraints on supersymmetric soft phases from renormalization group relations

The soft supersymmetry-breaking Lagrangian: theory and applications

Strong CP and SUZ2

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