  Topological qauntum field theory(TQFT) is a very powerful theoretical tool to
study topological phases and phase transitions. In $2+1$D, it is well known
that the Chern-Simons theory captures all the universal topological data of
topological phases, e.g., quasi-particle braiding statistics, chiral central
charge and even provides us a deep insight for the nature of topological phase
transitions. Recently, topological phases of quantum matter are also
intensively studied in $3+1$D and it has been shown that loop like excitation
obeys the so-called three-loop-braiding statistics. In this paper, we will try
to establish a TQFT framework to understand the quantum statistics of particle
and loop like excitation in $3+1$D. We will focus on Abelian topological phases
for simplicity, however, the general framework developed here is not limited to
Abelian topological phases.
