The invention relates to comb polymers which comprise, in the main chain, repeating units which are derived from polyolefin-based macromonomers, and repeating units which are derived from low molecular monomers which are selected from the group consisting of styrene monomers having 8-17 carbon atoms, alkyl(meth)acrylates having 1-10 carbon atoms in the alcohol group, vinyl esters having 1-11 carbon atoms in the acyl group, vinyl ethers having 1-10 carbon atoms in the alcohol group, (Di)alkylfumarates having 1-10 carbon atoms in the alcohol group, (Di)alkylmaleates having 1-10 carbon atoms in the alcohol group and mixtures of said monomers. The molar branching degree lies in the region between 0.1-10 mol. % and the comb polymer represents the sum of at least 80 wt. %, in relation to the weight of the repeating units, on repeating units which are derived from polyolefin-based macromonomers, and repeating units which are selected from low molecular monomers which are selected from the group consisting of styrene monomers having 8-17 carbon atoms, alkyl(meth)acrylates having 1-10 carbon atoms in the alcohol group, vinyl esters having 1-11 carbon atoms in the acyl group, vinyl ethers having 1-10 carbon atoms in the alcohol group, (Di)alkylfumarates having 1-10 carbon atoms in the alcohol group, (Di)alkylmaleates having 1-10 carbon atoms in the alcohol group, and mixtures of said monomers.