able to fix not only the zeta function near the poles but also the entire part. Because in the kink case many exact evaluations of kink mass quantum corrections are known we were able to check that the improved heat kernel expansion offered much closer approximations to the exact results as compared with the results obtained by using the standard GdW method. Moreover, in Reference [@Alonso2014:jhep] we extended the procedure to many component scalar field theory. In these type of models there are families of BPS kinks in such a way than other kink zero modes besides the translational zero mode arises. The results also were much more precise than those previously obtained using the standard GdW expansion, see e.g. [@Alonso2006:hepth] and [@Mateos2009:pos]. More interesting, in this last paper we do not only consider the problem in $(1+1)$-dimensional space-time but we analyzed the one-loop fluctuations in a three dimensional perspective where kinks become domain walls. In Reference [@Rebhan2002:njp] the same problem was addressed over standard supersymmetric kink domain walls relying on dimensional regularization procedures. Our method consequently also works for extended objects of $p$-brane type and, in the case of the model we studied, an interesting phenomenon was unveiled: within 