Polyalkyleneimine-based polymer as dispersants

A polymer having

• a) from 0.5 to 25 weight % of a polyalkyleneimine backbone based on the total weight of the polymer;
• b) from 0.5 to 25 weight % of at least one aromatic moiety P.1, which is bound to a nitrogen atom of the polyalkyleneimine backbone via a carboxamide or carboximide group, based on the total weight of the polymer;
• c) from 1 to 50 weight % of at least one polyester moiety P.2, which is bound to a nitrogen atom of the polyalkyleneimine backbone via a carboxamide, based on the total weight of the polymer;
• and
• d) from 30 to 90 weight % of at least one aliphatic polyether moiety P.3, which is bound to a nitrogen atom of the polyalkyleneimine backbone via a direct bond or via a linker, based on the total weight of the polymer,
• wherein the at least one aromatic moiety P.1 is selected from the moieties of the formulae (P.1′) and (P.1″),
• wherein
• #indicates the point of attachment of the aromatic moiety P.1 to a nitrogen atom of the polyalkyleneimine backbone;
• Ar is selected from the group consisting of phenyl and naphthyl, wherein phenyl and naphthyl, each independently, are unsubstituted or substituted by 1, 2, 3, 4 or 5 radicals, which are selected from the group consisting of halogen, OH, C1-C4-alkyl, C1-C4-alkoxy, C(═O)—OH, C(═O)—NH2, NH2, NO2, NH—C(═O)—H, NH—C1-C4-alkyl and NH—C(═O)—C1-C4-alkyl;
• and
• Ar′ is selected from the group consisting of 1,2-phenylene, 1,2-, 2,3-, or 1,8-naphthylene, wherein phenylene and naphthylene, each independently, are unsubstituted or substituted by 1, 2, 3, 4 or 5 radicals, which are selected from the group consisting of halogen, OH, C1-C4-alkyl, C1-C4-alkoxy, C(═O)—OH, C(═O)—NH2, NH2, NO2, NH—C(═O)H, NH—C1-C4-alkyl, and NH—C(═O)—C1-C4-alkyl,
• wherein the polyester moiety P.2 is a radical of the formula (P.2a)
• wherein,
• #indicates the point of attachment to a nitrogen atom of the polyalkyleneimine backbone;
• T1 is hydrogen or R1—C(═O)— wherein R1 is C1-C24 alkyl;
• A1 and A2 are each independently selected from C2-C12 alkylene;
• m is an integer from 0 to 100;
• n is an integer from 0 to 100;
• and
• m+n is an integer from 2 to 100.