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We propose the Supersymmetric Standard Models (SSMs) with a pseudo-Diracgluino from hybrid $F-$ and $D-$term supersymmetry (SUSY) breakings. Similar tothe SSMs before the LHC, all the supersymmetric particles in the Minimal SSM(MSSM) obtain the SUSY breaking soft terms from the traditional gravitymediation and have masses within about 1 TeV except gluino. To evade the LHCSUSY search constraints, the gluino also has a heavy Dirac mass above 3 TeVfrom $D-$term SUSY breaking. Interestingly, such a heavy Dirac gluino mass willnot induce the electroweak fine-tuning problem. We realize such SUSY breakingsvia an anomalous $U(1)_X$ gauge symmetry inspired from string models. Tomaintain the gauge coupling unification and increase the Higgs boson mass, weintroduce extra vector-like particles. We study the viable parameter spacewhich satisfies all the current experimental constraints, and present aconcrete benchmark point. This kind of models not only preserves the merits ofpre-LHC SSMs such as naturalness, dark matter, etc, but also solves thepossible problems in the SSMs with Dirac gauginos due to the $F$-term gravitymediation.

The Supersymmetric Standard Models with a Pseudo-Dirac Gluino from Hybrid $F-$ and $D-$Term Supersymmetry Breakings