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Conformal Sequestering Simplified

Martin Schmaltz, Raman Sundrum

TL;DR

The paper addresses the flavor problem in high-scale SUSY breaking by implementing conformal sequestering: a strongly coupled, four-dimensional hidden sector flows near an IR-fixed point to suppress dangerous hidden-visible operators and allow anomaly-mediated SUSY breaking to dominate. It introduces a simple self-sequestering hidden sector based on ISS-like metastable SUSY breaking in a deformed SUSY QCD framework, and analyzes how global symmetries and emergent currents can threaten sequestering, providing concrete mechanisms (flavor gauging, strong A^3 coupling) to mitigate these threats. The work combines toy models, a detailed 4D construction, and dual descriptions to show that sequestering can be robust against a variety of symmetry-related obstacles, yielding a practical path to flavor-universal soft masses in a high-scale mediation scenario. The results advance the plausibility of AMSB-dominated phenomenology by demonstrating concrete, renormalizable hidden-sector dynamics that realistically suppress unwanted couplings without relying on extra-dimensional UV completions.

Abstract

Sequestering is important for obtaining flavor-universal soft masses in models where supersymmetry breaking is mediated at high scales. We construct a simple and robust class of hidden sector models which sequester themselves from the visible sector due to strong and conformally invariant hidden dynamics. Masses for hidden matter eventually break the conformal symmetry and lead to supersymmetry breaking by the mechanism recently discovered by Intriligator, Seiberg and Shih. We give a unified treatment of subtleties due to global symmetries of the CFT. There is enough review for the paper to constitute a self-contained account of conformal sequestering.

Conformal Sequestering Simplified

TL;DR

The paper addresses the flavor problem in high-scale SUSY breaking by implementing conformal sequestering: a strongly coupled, four-dimensional hidden sector flows near an IR-fixed point to suppress dangerous hidden-visible operators and allow anomaly-mediated SUSY breaking to dominate. It introduces a simple self-sequestering hidden sector based on ISS-like metastable SUSY breaking in a deformed SUSY QCD framework, and analyzes how global symmetries and emergent currents can threaten sequestering, providing concrete mechanisms (flavor gauging, strong A^3 coupling) to mitigate these threats. The work combines toy models, a detailed 4D construction, and dual descriptions to show that sequestering can be robust against a variety of symmetry-related obstacles, yielding a practical path to flavor-universal soft masses in a high-scale mediation scenario. The results advance the plausibility of AMSB-dominated phenomenology by demonstrating concrete, renormalizable hidden-sector dynamics that realistically suppress unwanted couplings without relying on extra-dimensional UV completions.

Abstract

Sequestering is important for obtaining flavor-universal soft masses in models where supersymmetry breaking is mediated at high scales. We construct a simple and robust class of hidden sector models which sequester themselves from the visible sector due to strong and conformally invariant hidden dynamics. Masses for hidden matter eventually break the conformal symmetry and lead to supersymmetry breaking by the mechanism recently discovered by Intriligator, Seiberg and Shih. We give a unified treatment of subtleties due to global symmetries of the CFT. There is enough review for the paper to constitute a self-contained account of conformal sequestering.

Paper Structure

This paper contains 16 sections, 56 equations, 2 figures.

Table of Contents

  1. Introduction
  2. Toy Models of Conformal Sequestering
  3. Non-supersymmetric example
  4. Supersymmetric QCD
  5. A Self-sequestering Hidden Sector
  6. Sequestering in detail
  7. Relevant hidden superpotential couplings
  8. Marginal flavor-symmetry "currents"
  9. Safe and unsafe currents
  10. Gauging flavor to suppress harmful non-abelian currents
  11. Strong superpotential coupling to suppress harmful abelian current
  12. Emergent symmetries?
  13. Integrating out visible $F_{\Phi}$-terms
  14. Discussion and Generalizations
  15. Acknowledgments
  16. ...and 1 more sections

Figures (2)

  • Figure 1: Scales and dynamics.
  • Figure 2: Scales and dynamics of our model. $\Lambda_N$ and $\Lambda_\kappa$, respectively, are the scales at which the hidden sector gauge coupling and Yukawa coupling $\kappa$ become strong and the theory transitions to a conformal fixed point. $m_A$ and $m_Q$ are masses which explicitly break conformal symmetry and trigger SUSY breaking. $M_{Pl}$ and $\Lambda_{int}$ are the Planck and intermediate scales.