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title: Support of Dirac Gauginos
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permalink: /Support_of_Dirac_Gauginos/
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---
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# Support of Dirac Gauginos
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[Category:Model](/Category:Model "wikilink") Another feature which became popular in the last years are models with Dirac gauginos. In these models mass terms*m*<sub>*D*</sub><sup>*ϕ̂*<sub>*i*</sub>*A*</sup>*λ*<sub>*A*</sub>*ψ*<sub>*i*</sub> between gauginos*λ*<sub>*A*</sub> and a fermionic component*ψ*<sub>*i*</sub> of the chiral superfield*ϕ̂*<sub>*i*</sub> in the adjoint representation of the gauge group*A* are present. In addition, also new*D*-terms are introduced in these models . Thus, the new terms in the Lagrangian are
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Another feature which became popular in the last years are models with Dirac gauginos. In these models mass termsm<sub>D</sub><sup>ϕ̂<sub>i</sub>A</sup>λ<sub>A</sub>ψ<sub>i</sub> between gauginosλ<sub>A</sub> and a fermionic componentψ<sub>i</sub> of the chiral superfieldϕ̂<sub>i</sub> in the adjoint representation of the gauge groupA are present. In addition, also newD-terms are introduced in these models . Thus, the new terms in the Lagrangian are
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$\\mathfrak{L}_{DG} = - m^{\\hat \\phi_i A}_D \\lambda^a_A \\psi_i + \\sqrt{2} m^{\\hat \\phi_i A}_D \\phi_i D_A$
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$`\mathfrak{L}_{DG} = - m^{\hat \phi_i A}_D \lambda^a_A \psi_i + \sqrt{2} m^{\hat \phi_i A}_D \phi_i D_A`$
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*D*<sub>*A*</sub> is the auxiliary component of the vector superfield of the group*A*. To allow for Dirac mass terms, these models come always with an extended matter sector: to generate Dirac mass terms for all MSSM gauginos at least one singlet, one triplet under*S**U*(2) and one octet under*S**U*(3) must be added. Furthermore, models with Dirac gauginos generate also new structures in the RGEs . All of this is fully supported in SARAH.
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If Dirac masses for gauginos are explicitly turned on in SARAH, it will check for all allowed combinations of vector and chiral superfields which can generate Dirac masses and which are consistent with all symmetries. For instance, in models with several gauge singlets, the bino might even get several Dirac mass terms.
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... | ... | @@ -27,11 +24,11 @@ As discussed below, SARAH can also handle to some extent non-renormalizable term |
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From the superpotential, all the*F*-terms
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$|F|^2 = \\sum_i \\left|\\frac{\\partial \\tilde{W}}{\\partial \\phi_i}\\right|^2$
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$`|F|^2 = \sum_i \left|\frac{\partial \tilde{W}}{\partial \phi_i}\right|^2`$
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and interactions of matter fermions
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$\\mathfrak{L}_Y = - \\frac{1}{2} \\frac{\\partial^2 \\tilde{W}}{\\partial \\phi_i \\partial \\phi_j} \\psi_i \\psi_j + \\mbox{h.c.} ,$
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$`\mathfrak{L}_Y = - \frac{1}{2} \frac{\partial^2 \tilde{W}}{\partial \phi_i \partial \phi_j} \psi_i \psi_j + \mbox{h.c.} ,`$
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are derived. Here*W̃* is the superpotential*W* with all superfields*ϕ̂*<sub>*i*</sub> replaced by their scalar component*ϕ*<sub>*i*</sub>.*ψ*<sub>*i*</sub> is the fermionic component of that superfield.
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Usually, the*F*- and*D*-terms and the soft-breaking terms for chiral and vector superfields fix the full scalar potential of the model. However, in some cases also non-canonical terms should be studied. These are for instance non-holomorphic soft-terms
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