Abstract

Supersymmetric Standard Models (SSMs) with Dirac gauginos have the appealing supersoft property that they only cause finite contributions to scalar masses. Considering gauge mediated SUSY breaking with conformal sequestering and assuming there is one and only one fundamental parameter with dimension mass arising from supersymmetry breaking, we find a cancellation between the dominant terms that contribute to the EWFT. The resulting EWFT measure can be of order one even for supersymmetric particle masses and $\mu$-terms in the TeV range.

Highlights

  • Supersymmetry (SUSY) provides a natural solution to the gauge hierarchy problem in the standard model (SM)

  • Considering gauge mediated SUSY breaking with conformal sequestering and assuming there is one and only one fundamental parameter with dimension mass arising from supersymmetry breaking, we find a cancellation between the dominant terms that contribute to the electroweak fine tuning (EWFT)

  • In the minimal R-symmetric supersymmetric SMs (SSMs) (MRSSM) with Dirac gauginos, we present for the first time the SUSY breaking soft terms from gauge mediated SUSY breaking (GMSB) [28] with conformal sequestering [59,60,61], and find that the naive EWFT measure turns out to be similar to the other SSMs, except the minor improvements due to supersoft property and additional loop contributions to the Higgs

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Summary

INTRODUCTION

Supersymmetry (SUSY) provides a natural solution to the gauge hierarchy problem in the standard model (SM). Can reduce existing mass limits from SUSY searches and weaken bounds from flavor physics [24] It is somehow surprising, but the electroweak fine tuning (EWFT) question in the SSMs with Dirac gauginos and a specific SUSY breaking mechanism has not been addressed so far. The original conditions for string inspired SSMs are mainly [58]: (1) The Kähler potential and superpotential can be calculated in principle or at least inspired from a fundamental theory such as string theory with suitable compactifications; (2) There is one and only one chiral superfield which breaks supersymmetry; (3) All the mass parameters in the SSMs must arise from supersymmetry breaking With these conditions, one can show that the SUSY EWFT measure is automatically of order one. In a wide range of the parameter space we find a precise cancellation among different contributions to the EWFT measures

THE SUSY BREAKING SOFT TERMS
THE MRSSM
NATURALNESS
BENCHMARK SCENARIOS
CONCLUSION
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