  This work deals with right handed sneutrino as thermal cold dark matter
candidate. This scalar emerges in a supersymmetric version of $SU(3)_c \otimes
SU(3)_L \otimes U(1)_X$ 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 stop mass and trilinear soft coupling are considerably alleviated compared
to MSSM. 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 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 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
non-supersymmetric version of this model.
