  We calculate the quasiparticle properties of $\rm{MoS_2}$ monolayer at $T=0$
considering the dynamical electron-electron interaction effect within
random-phase-approximation (RPA). The calculations are carried out for an
electron-doped slab of $\rm{MoS_2}$ monolayer using a minimal massive Dirac
Hamiltonian and the quasi-two-dimensional nature of the Coulomb interaction in
this system is taken into account considering a modified interaction of Keldysh
type. Having calculated the real and imaginary parts of the retarded
self-energy, we find the spectral function and discuss the impact of extrinsic
variables such as the dielectric medium and the charge carrier density on the
appearance and position of the quasiparticle peaks. We also report the results
of the renormalization constant and the effective Fermi velocity calculations
in a broad range of the coupling constant and carrier density. We show that the
effective Fermi velocity obtained solving the self-consistent Dyson equation
has an absolutely different behavior from the one found from the on-shell
approximation. Our results show that the nonlocal dielectric screening of the
monolayer tends to stabilize the Fermi liquid picture in $\rm{MoS_2}$ monolayer
and that the interaction strength parameter of this system is a multivariable
function of the coupling constant, carrier density, and also the screening
length.
