  We consider the factorized groomed jet mass distribution in inclusive jet
processes using modified mass drop tagger (mMDT), corresponding to soft drop
with the angular exponent $\beta =0$. A grooming procedure is implemented
rather than tagging in the sense that grooming always returns a groomed jet,
while tagging dose not return a jet when a single particle remains after
tagging. We find that the grooming procedure makes the jet mass distribution
infrared safe and only ultraviolet divergences appear in each factorized part.
The groomed jet mass distributions are investigated in a wide range of the jet
mass considering various limits on the jet mass variable $\rho =
M_J^2/(p_T^JR)^2$ and the grooming cut $y_c$. Appropriate effective theories in
different kinematic regions are employed to resum large logarithms, in which
the analysis in the region $\rho \sim y_c \ll 1$ is included due to the
different type of factorization. The analytic computation of the factorized
groomed jet mass distribution is presented by resumming the large logarithms in
the jet mass, and $y_c$. Numerically, the effect of the resummation is notably
enhanced, compared with the calculation at next-to-leading order, and nonglobal
logarithms are estimated to be small.
