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Approximate R-symmetries and the mu term

Felix Brummer, Rolf Kappl, Michael Ratz, Kai Schmidt-Hoberg

Abstract

We discuss the role of approximate U(1)_R symmetries for the understanding of hierarchies in Nature. Such symmetries may explain a suppressed expectation value of the superpotential and provide us with a solution to the MSSM mu problem. We present various examples in field theory and string-derived models.

Approximate R-symmetries and the mu term

Abstract

We discuss the role of approximate U(1)_R symmetries for the understanding of hierarchies in Nature. Such symmetries may explain a suppressed expectation value of the superpotential and provide us with a solution to the MSSM mu problem. We present various examples in field theory and string-derived models.

Paper Structure

This paper contains 18 sections, 70 equations.

Table of Contents

  1. Introduction
  2. Supersymmetric ground states
  3. Trivial vs. non-trivial field configurations
  4. Supersymmetric Minkowski vacua as a consequence of $\boldsymbol{\mathrm{U}(1)_R}$
  5. A note on supersymmetric vacua with broken $\boldsymbol{R}$-symmetry
  6. $\boldsymbol{\mathrm{U}(1)_R}$ breaking at higher order
  7. Approximate $\boldsymbol{R}$-symmetry and the $\boldsymbol{\mu}$ term
  8. The effective $\boldsymbol{\mu}$ term
  9. Models with generic superpotential coefficients
  10. The $\boldsymbol{\mu}$ term in string-derived models
  11. Examples
  12. A simple example
  13. A "string-inspired" example
  14. A generic example in field theory
  15. Another generic example in field theory
  16. ...and 3 more sections