Higgs boson mass in low scale gauge mediation models

Abstract

We consider low scale gauge mediation models with a very light gravitino m 3/2 16 eV, in the light of recent experimental hints on the Higgs boson mass. The light gravitino is very interesting since there is no gravitino over-production problem, but it seems difficult to explain the Higgs boson mass of ∼ 125 GeV. This is because of the conflict between the light gravitino mass and heavy SUSY particle masses needed for producing the relatively heavy Higgs boson mass. We consider two possible extensions in this paper: a singlet extension of the Higgs sector, and strongly coupled gauge mediation. We show that there is a large parameter space, in both scenarios, where the Higgs boson mass of ∼125 GeV is explained without any conflict with such a very light gravitino.

Lower limit on the gravitino mass in low-scale gauge mediation with m≃ 125 GeV

“…Furthermore, the annihilation cross section of the baryonic composite states via strong interaction can saturates the unitarity limit, which requries the dark matter mass of O(100) TeV so that the dark matter density can be explained by the thermal freeze-out [54]. 10 For some scenario, the effective annihilation cross section of baryonic composite states can exceed the unitarity limit on each partial wave modes [55]. 11 See e.g.…”

A new scheme for NMSSM in gauge mediation

“…It is noticed that, thanks to the additional F -term contribution, the observed Higgs boson mass around 125 GeV is easily explained even with the 1.2 TeV gluino mass in the gauge mediation scenario, as pointed out in ref. [31]. The larger gluino mass can of course also be consistent with the observed Higgs boson mass by changing the λ S value 6 The definition of ∆ here differs from the original one by a factor 2.…”

“…Furthermore, such a singlet extension of the gauge mediation scenario is not straightforward: since the singlet does not have any SM gauge charge, the SUSY breaking hardly mediates to the singlet sector, which makes it difficult to achieve the correct electroweak symmetry breaking (EWSB); therefore, further extensions, e.g., introducing extra vector-like matter fields coupling to S [25][26][27], 2 and the coupling between S and messengers [28][29][30][31] have been studied. 3 The solution may be "hidden".…”

Cosmologically viable low-energy supersymmetry breaking

“…This gravitino problem is often ignored in literature which attempts to achieve the 125 GeV Higgs mass via gauge mediation, e.g., using A terms from RGE flow [14] or non-decoupling D terms [15,16]. A non-minimal Higgs sector or strongly coupled messengers may achieve m 3/2 16 eV [17], but it is unclear if the gravitino mass can be pushed below 4.7 eV. These problems can be ameliorated by using the Next-to-Minimal Supersymmetric Standard Model (NMSSM) or Dirac-NMSSM [18], coupling the Higgs to messengers [19], or having a strongly coupled messenger sector [20][21][22][23].…”