A process for the manufacturing of a poly(arylether sulfone) polymer [polymer (b-PAES), herein after] comprising reacting in a solvent mixture comprising a polar aprotic solvent and in the presence of an alkali metal carbonate, a monomer mixture which contains: - at least one 1,4:3,6-dianhydrohexitol [diol, herein after] selected from the group consisting of isosorbide, isomannide and isoidide: - at least one dihaloaryl compound [dihalo, herein after] of formula: X-Ar 1 -SO 2 -[Ar 2 -(T-Ar 3) n -SO 2] m -Ar 4 -X' formula wherein - n and m, equal to or different from each other, are independently zero or an integer of 1 to 5; X and X', equal to or different from each other, are Cl or F, - each of Ar 1, Ar 2, Ar 3 and Ar 4 equal to or different from each other and at each occurrence, is an aromatic moiety, - T is a bond or a divalent group optionally comprising one or more than one heteroatom; preferably T is selected from the group consisting of a bond, -CH 2 -, -C -, -C(CH 3) 2 -, -C(CF 3) 2 -, -C(=CCl 2)-, -C(CH 3)(CH 2 CH 2 COOH)-, and a group of formula: - optionally, at least one dihydroxyl compound [diol (A'A')] different from the diol; - optionally, at least one dihaloaryl compound [dihalo (B'B')] different from the dihalo; - optionally, at least one hydroxyl-halo compound [hydro-halo (A'B')]; being understood that the overall amount of halo-groups and hydroxyl-groups of the monomers of the monomer mixture is substantially equimolecular, so as to obtain a polymer (b-PAES), wherein the reaction is carried out at a total % monomer mixture concentration [total % monomers, herein after] equal to or more 15 % and less than 70 % with respect to the combined weight of monomer mixture and solvent mixture, wherein the amount of the alkali metal carbonate used, when expressed by the ratio of the equivalents of alkali metal per equivalent of hydroxyl group [eq. /eq.] ranges from 1.3 to 4.0; and (i) wherein the dihaloaryl compound dihalo is a compound of formula wherein X, X' is Cl [dihalo (B Cl B Cl)]; or (ii) wherein the dihaloaryl compound dihalo is obtained by reaction of a precursor dihalo (B Cl B Cl) with at least one fluorinating agent. - at least one 1,4:3,6-dianhydrohexitol [diol, herein after] selected from the group consisting of isosorbide, isomannide and isoidide: - at least one dihaloaryl compound [dihalo, herein after] of formula: X-Ar 1 -SO 2 -[Ar 2 -(T-Ar 3) n -SO 2] m -Ar 4 -X' formula wherein - n and m, equal to or different from each other, are independently zero or an integer of 1 to 5; X and X', equal to or different from each other, are Cl or F, - each of Ar 1, Ar 2, Ar 3 and Ar 4 equal to or different from each other and at each occurrence, is an aromatic moiety, - T is a bond or a divalent group optionally comprising one or more than one heteroatom; preferably T is selected from the group consisting of a bond, -CH 2 -, -C -, -C(CH 3) 2 -, -C(CF 3) 2 -, -C(=CCl 2)-, -C(CH 3)(CH 2 CH 2 COOH)-, and a group of formula: - optionally, at least one dihydroxyl compound [diol (A'A')] different from the diol; - optionally, at least one dihaloaryl compound [dihalo (B'B')] different from the dihalo; - optionally, at least one hydroxyl-halo compound [hydro-halo (A'B')]; - n and m, equal to or different from each other, are independently zero or an integer of 1 to 5; X and X', equal to or different from each other, are Cl or F, - each of Ar 1, Ar 2, Ar 3 and Ar 4 equal to or different from each other and at each occurrence, is an aromatic moiety, - T is a bond or a divalent group optionally comprising one or more than one heteroatom; preferably T is selected from the group consisting of a bond, -CH 2 -, -C -, -C(CH 3) 2 -, -C(CF 3) 2 -, -C(=CCl 2)-, -C(CH 3)(CH 2 CH 2 COOH)-, and a group of formula: - optionally, at least one dihydroxyl compound [diol (A'A')] different from the diol; - optionally, at least one dihaloaryl compound [dihalo (B'B')] different from the dihalo; - optionally, at least one hydroxyl-halo compound [hydro-halo (A'B')]; (i) wherein the dihaloaryl compound dihalo is a compound of formula wherein X, X' is Cl [dihalo (B Cl B Cl)]; or (ii) wherein the dihaloaryl compound dihalo is obtained by reaction of a precursor dihalo (B Cl B Cl) with at least one fluorinating agent.