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Dirac Gaugino Masses and Supersoft Supersymmetry Breaking

Patrick J. Fox, Ann E. Nelson, Neal Weiner

TL;DR

This work proposes a maximal supersymmetric extension of the standard model in which the gauge sector enjoys N=2 supersymmetry and SUSY is broken via a hidden U(1)' D-term, producing Dirac gaugino masses and supersoft, finite soft terms. The resulting spectrum features positive, flavor-universal squark/slepton masses and a negative $m_{H_u}^2$, with gauginos typically heavy and Dirac in nature, while the Higgs sector receives suppressed tree-level quartics and relies on radiative corrections for EWSB. The authors develop GEMs with complete GUT multiplets (bachelors) to preserve unification, explore origins of the D-terms, and discuss μ/Bμ generation, CP considerations, and the phenomenology including LSP candidates and novel collider signatures. The framework yields UV-insensitive predictions and a distinctive, testable phenomenology that differentiates it from the MSSM, with implications for collider searches and possible dark matter candidates.

Abstract

We introduce a new supersymmetric extension of the standard model in which the gauge sector contains complete N=2 supersymmetry multiplets. Supersymmetry breaking from the D-term vev of a hidden sector U(1) gauge field leads to Dirac soft supersymmetry breaking gaugino masses, and a new type of soft scalar trilinear couplings. The resulting squark and slepton masses are finite, calculable, positive and flavor universal. The Higgs soft mass squared is negative. The phenomenology of these theories differs significantly from the MSSM. We discuss a variety of possible origins for the soft operators and new fields, including models in both four and higher dimensions.

Dirac Gaugino Masses and Supersoft Supersymmetry Breaking

TL;DR

This work proposes a maximal supersymmetric extension of the standard model in which the gauge sector enjoys N=2 supersymmetry and SUSY is broken via a hidden U(1)' D-term, producing Dirac gaugino masses and supersoft, finite soft terms. The resulting spectrum features positive, flavor-universal squark/slepton masses and a negative , with gauginos typically heavy and Dirac in nature, while the Higgs sector receives suppressed tree-level quartics and relies on radiative corrections for EWSB. The authors develop GEMs with complete GUT multiplets (bachelors) to preserve unification, explore origins of the D-terms, and discuss μ/Bμ generation, CP considerations, and the phenomenology including LSP candidates and novel collider signatures. The framework yields UV-insensitive predictions and a distinctive, testable phenomenology that differentiates it from the MSSM, with implications for collider searches and possible dark matter candidates.

Abstract

We introduce a new supersymmetric extension of the standard model in which the gauge sector contains complete N=2 supersymmetry multiplets. Supersymmetry breaking from the D-term vev of a hidden sector U(1) gauge field leads to Dirac soft supersymmetry breaking gaugino masses, and a new type of soft scalar trilinear couplings. The resulting squark and slepton masses are finite, calculable, positive and flavor universal. The Higgs soft mass squared is negative. The phenomenology of these theories differs significantly from the MSSM. We discuss a variety of possible origins for the soft operators and new fields, including models in both four and higher dimensions.

Paper Structure

This paper contains 19 sections, 42 equations, 3 figures, 3 tables.

Table of Contents

  1. Introduction
  2. Extended Supersymmetry and $D$-term SUSY Breaking
  3. SUSY Breaking from $D$-terms
  4. Other supersoft operators
  5. Radiative Corrections
  6. Gauge Extended Models
  7. Origins of $D$-terms and gaugino/ESP mixing
  8. GEM Grand Unification
  9. $SU(3)^3$
  10. $SU(5)$
  11. $\mu$ and $B_\mu$
  12. CP violation
  13. Heavy ESPs
  14. GEM Gauge Mediation
  15. Electroweak Symmetry Breaking
  16. ...and 4 more sections

Figures (3)

  • Figure 1: Categorization of fields into $N=2$ and $N=1$ sectors. The Higgs fields could be part of either sector.
  • Figure 2: Loop contributions to scalar masses. The new contribution from the purely scalar loop cancels the logarithmic divergence resulting from a gaugino mass alone.
  • Figure 3: Integrating out messenger fields can generate the operator of (\ref{['eq:keyop']}).