Abstract
The Split-Family supersymmetry is a model in which the sfermion masses of the first two generations are in {mathcal {O}}(100{-}{1000}),hbox {GeV} while that of the third one is in {mathcal {O}}(10) TeV. With such a hierarchical spectrum, the deviation of the muon g-2 and the observed Higgs boson mass are explained simultaneously. In this paper, we revisit the Split-Family SUSY model in light of the updated LHC constraints. We also study the flavor changing neutral current problems in the model. As we will show, the problems do not lead to stringent constraints when the Cabibbo-Kobayashi-Maskawa matrix is the only source of the flavor mixing. We also study how large flavor mixing in the supersymmetry breaking parameters is allowed.
Highlights
The standard model (SM) of particle physics is complete by the discovery of the Higgs boson with a mass around 125 GeV [1,2,3,4,5]
If the soft masses are universal, for example, the general Yukawa couplings in the superpotential do not lead to the SUSY flavor changing neutral currents (FCNC) contributions, since the soft breaking parameters are proportional to the unit matrix in any family basis
The SUSY contributions to the muon g − 2 are proportional to tanβ and we focus on tanβ 40
Summary
The standard model (SM) of particle physics is complete by the discovery of the Higgs boson with a mass around 125 GeV [1,2,3,4,5]. This discrepancy can be explained in the MSSM when such as the smuons and the electroweakinos are in O(100) GeV [20,21,22]. In [23], the Split-Family supersymmetry (SUSY) model has been proposed to explain the observed Higgs boson and the muon g − 2 deviation simultaneously. We revisit the Split-Family SUSY model in light of the updated LHC constraints.. We show that the collider constraints can be evaded for the non-universal gauino masses while explaining the muon g − 2.
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