Higgs mass and right-handed sneutrino WIMP in a supersymmetric $3-3-1$ model

This work deals with the right-handed sneutrino as thermal cold dark matter candidate. This scalar emerges in a supersymmetric version of the $SU(3{)}_c\otimes SU(3{)}_L\otimes U(1{)}_X$ gauge model where right-handed neutrinos are a natural component of leptonic chiral scalar supermultiplets. We first consider the issue of a 125 GeV Higgs boson mass in this model, showing that constraints on the stop mass and trilinear soft coupling are considerably alleviated compared to the minimal supersymmetric standard model. Then, we investigate the region of parameter space that is consistent with right-handed sneutrino as thermal cold dark matter, under the light of Planck results on the relic abundance and direct detection from the LUX experiment. This sneutrino mainly annihilates through an extra neutral gauge boson, $Z^{\prime }$, and Higgs exchange so that the physics of dark matter is somewhat related to the parameters determining Higgs and $Z^{\prime }$ masses. We then obtain that the right-handed sneutrino in this model must be heavier than 400 GeV to conform with Planck and LUX, simultaneously constraining the $Z^{\prime }$ mass to be above 2400 GeV, which is in perfect agreement with LHC searches in a nonsupersymmetric version of this model.

Figure 1

Contour plot corresponding to $m_h=125\mathrm{GeV}$ in the $M_s$ vs the $X_t$ plane where $m_t=173\mathrm{GeV}$ and $v_{ew}=246\mathrm{GeV}$. The legend bar indicates the range of values provided solely by the tree-level mass.

Figure 2

Dominant processes contributing to the R-sneutrino abundance. $q$ and $l$ mean quarks and leptons, respectively.

Figure 3

Relic density vs WIMP mass. The right panel is an improvement in resolution around the Planck bounds. The gray dots are ruled out by direct-detection data. The green dots are in accordance with LUX bounds [6], while the region enclosed by purple lines represents the Planck constraints (blue shaded region on the right panel) [2].

Figure 4

Dominant processes to the WIMP-nucleon scattering cross section.

Figure 5

WIMP-nucleon cross section vs dark matter mass. In this plot, the green points indicate overabundance, the blue points are those in agreement with the Planck bounds, and light blue points correspond to an abundance lower than needed to explain all CDM. All points above the yellow curve are excluded by direct detection from LUX [6].

Figure 6

$Z^{\prime }$ mass vs WIMP mass. The blue points furnish the correct abundance as indicated by Plank [2]. The green region is in agreement with recent direct-detection experiment LUX [6], and the gray region is excluded by it.