Heavy standard model-like Higgs boson and a light stop from Yukawa-deflected gauge mediation

Abstract

To obtain a standard model-like Higgs boson around 125 GeV in the minimal supersymmetric standard model with minimal gauge mediation of supersymmetry breaking (GMSB), a heavy stop at multi-TeV level is needed and incurs severe fine-tuning, which can be ameliorated in the framework of the deformed GMSB with visible-hidden direct Yukawa interactions (YGMSB). We examine some general features of the YGMSB and focus on the scenario with Higgs-messenger couplings (HYGMSB) which can automatically maintain the minimal flavor violation. It turns out that such a Yukawa mediation scenario can give a large $\ensuremath{-}{A}_{t}$ and $\ensuremath{-}{m}_{{\stackrel{\texttildelow{}}{t}}_{L,R}}^{2}$, leading to a maximal stop mixing, and thus can readily give a light stop (${\stackrel{\texttildelow{}}{t}}_{1}$) below the TeV scale. However, we find that in the minimal HYGMSB scenario, ${m}_{{H}_{u}}^{2}$ is too large and then the electroweak symmetry breaking is inconsistent with the large stop mixing. To solve this problem, we modify the hidden sectors in two ways, adding a new strong gauge dynamics or introducing the $(10,\overline{10})$ messengers. For each case we present some numerical studies.