  We construct an effective action for "soft" gluons by integrating out hard
thermal modes of topologically massive vector bosons at one loop order. The
loop carrying hard gluons (momentum $\sim T$) are known as hard thermal loop
(HTL). The gluons are massive in the non-Abelian topologically massive model
(TMM) due to a quadratic coupling $B\wedge F$ where a 2-form field $B$ is
coupled quadratically with the field strength $F$ of Yang-Mills (YM) field. The
mass of the gluons plays an important role in the perturbative analysis of
thermal field theory. Due to the presence of this infrared cut-off in the
model, the color diffusion constant and conductivity can be analyzed in
perturbative regime.
