  We study the Minimal R-symmetric Supersymmetric Standard Model (MRSSM) at the
quantum level. The thesis consists of two parts. First one treats about the
electroweak sector of the model. Among others, it identifies the parameter
region allowed by the electroweak precision observables. Since the MRSSM
contains an $SU(2)_L$-triplet with a non-zero vacuum expectation value the
emphasis is put on the calculation of the $W$ boson mass. To that end, a full
one-loop calculation of $m_W$ augmented with the leading two-loop SM result is
presented. The region is then checked against the measurement of the Higgs
boson mass. For this, the full one-loop and leading two-loop corrections to the
Higgs boson mass in the MRSSM are calculated. Devised benchmark points,
consistent with both of these observables, are shown to fulfill also a number
of additional experimental constraints like properties of the Higgs boson(s),
$b$-physics observables and vacuum stability. Correlating all of these
observables allows to put bounds on the parameters of the model. Second part of
the thesis treats about the strongly interacting scalar sector. First, NLO QCD
corrections to the production of scalar gluon (sgluon) pair at the LHC are
calculated. A set of $K$-factors for a selected sgluon masses at 13 and 14 TeV
LHC is presented. This calculation is applied to constrain the sgluon mass
using 2015 data set from Run 2 of the LHC. To that end, a same-sign lepton
search by ATLAS is recasted for the case of the production of the sgluon pair
decaying to $t\bar{t}$ pairs. The analysis is reproduced with the help of
shower Monte Carlo softwares and the program performing a fast detector
response simulation. The analysis shows that already using 3.2/fb of integrated
luminosity the exclusion limits from Run 2 are competitive with the 8 TeV ones.
