Abstract
It is known that in the absence of a gauge singlet field, a specific class of supersymmetry (SUSY) breaking non-holomorphic (NH) terms can be soft breaking in nature so that they may be considered along with the Minimal Supersymmetric Standard Model (MSSM) and beyond. There have been studies related to these terms in minimal supergravity based models. Consideration of an F-type SUSY breaking scenario in the hidden sector with two chiral superfields however showed Planck scale suppression of such terms. In an unbiased point of view for the sources of SUSY breaking, the NH terms in a phenomenological MSSM (pMSSM) type of analysis showed a possibility of a large SUSY contribution to muon g − 2, a reasonable amount of corrections to the Higgs boson mass and a drastic reduction of the electroweak fine-tuning for a higgsino dominated {tilde{chi}}_1^0 in some regions of parameter space. We first investigate here the effects of the NH terms in a low scale SUSY breaking scenario. In our analysis with minimal gauge mediated supersymmetry breaking (mGMSB) we probe how far the results can be compared with the previous pMSSM plus NH terms based study. We particularly analyze the Higgs, stop and the electroweakino sectors focusing on a higgsino dominated {tilde{chi}}_1^0 and {tilde{chi}}_1^{pm } , a feature typically different from what appears in mGMSB. The effect of a limited degree of RG evolutions and vanishing of the trilinear coupling terms at the messenger scale can be overcome by choosing a non-minimal GMSB scenario, such as one with a matter-messenger interaction.
Highlights
JHEP01(2018)158 gauge bosons [53,54,55]
We have realized the non-holomorphic Minimal Supersymmetric Standard Model (MSSM) on a gauge mediated supersymmetry breaking (GMSB) setup, that is going to be referred as the NH terms in an mGMSB setup (NHmGMSB) model, by using the codes SARAH-4.9.1 [104,105,106,107] and SPheno3.3.8 [108]
It was seen that SUSY models may include non-holomorphic terms like φ2φ∗ and ψψ that can be characterized as soft SUSY breaking in nature in the absence of a gauge singlet field
Summary
In the Gauge-Mediated-SUSY breaking (GMSB) Models [88,89,90,91,92,93,94] SUSY is broken in a hidden/secluded sector. The observable sector soft terms like the masses and couplings are generated via messenger particles in loops. This ensures renormalizability, a positive feature of GMSB models. The upper limit of the messenger mass M comes from the relative degree of strengths of the gauge and gravity mediations since the superfield S may cause gravity effects, though in much smaller strength, in addition to the SUSY breaking associated with a GMSB scenario. The following are the model parameters where the NH higgsino soft parameter μ0 is the input value of μ at the messenger scale M at which the common NH trilinear coupling parameter A0 vanish. This is unlike what is seen in electroweak fine-tuning in NHSSM as mentioned above
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