A process for preparing a melt-processible adhesive comprising: a) dissolving a high T g copolymer having a Mw > 30 kD and a T g ≥ 50°C comprising: i) (meth)acrylic acid ester monomer units, which, when homopolymerized, produce a (meth)acrylate copolymer having a T g ≥ 50°C; ii) optional acid functional ethylenically unsaturated monomer units; iii) optional (meth)acrylic acid ester monomer units, which, when homopolymerized, produce a (meth)acrylate polymers having a T g ≤ 0°C; iv) optional base-functional, ethylenically unsaturated polar monomer units; v) optional vinyl monomer units; wherein the sum of i) to v) is 100 parts by weight; in a monomer mixture for a low T g copolymer having a T g of ≤ 20°C comprising i. (meth)acrylic acid ester monomers, which, when homopolymerized, produce a (meth)acrylate polymer having a T g ≤ 0°C; ii. optional acid functional ethylenically unsaturated monomers; iii. optional base-functional, ethylenically unsaturated polar monomers; iv. optional vinyl monomers; wherein the sum of i. to iv. is 100 parts by weight; said mixture optionally including a hydrogenated hydrocarbon tackifier; b) polymerizing the resultant mixture; c) adding hydrogenated hydrocarbon tackifier if not present in step a); d) melt extruding the polymerized mixture; and e) crosslinking the extrudate by electron beam irradiation; wherein said high T g copolymer comprises acid functional monomer units, and the monomer mixture for the low T g copolymer component comprises base-functional monomer units and the adhesive comprises a minimum of 0.05 moles of acid-functional monomers and a minimum of 0.05 moles of base-functional monomers per kilogram of the composition; or wherein said low T g copolymer comprises acid functional monomer units, and the high T g copolymer component comprises base-functional monomer units and the adhesive comprises a minimum of 0.05 moles of acid-functional monomers and a minimum of 0.05 moles of base-functional monomers per kilogram of the composition. a) dissolving a high T g copolymer having a Mw > 30 kD and a T g ≥ 50°C comprising: i) (meth)acrylic acid ester monomer units, which, when homopolymerized, produce a (meth)acrylate copolymer having a T g ≥ 50°C; ii) optional acid functional ethylenically unsaturated monomer units; iii) optional (meth)acrylic acid ester monomer units, which, when homopolymerized, produce a (meth)acrylate polymers having a T g ≤ 0°C; iv) optional base-functional, ethylenically unsaturated polar monomer units; v) optional vinyl monomer units; wherein the sum of i) to v) is 100 parts by weight; in a monomer mixture for a low T g copolymer having a T g of ≤ 20°C comprising i. (meth)acrylic acid ester monomers, which, when homopolymerized, produce a (meth)acrylate polymer having a T g ≤ 0°C; ii. optional acid functional ethylenically unsaturated monomers; iii. optional base-functional, ethylenically unsaturated polar monomers; iv. optional vinyl monomers; wherein the sum of i. to iv. is 100 parts by weight; said mixture optionally including a hydrogenated hydrocarbon tackifier; i) (meth)acrylic acid ester monomer units, which, when homopolymerized, produce a (meth)acrylate copolymer having a T g ≥ 50°C; ii) optional acid functional ethylenically unsaturated monomer units; iii) optional (meth)acrylic acid ester monomer units, which, when homopolymerized, produce a (meth)acrylate polymers having a T g ≤ 0°C; iv) optional base-functional, ethylenically unsaturated polar monomer units; v) optional vinyl monomer units; wherein the sum of i) to v) is 100 parts by weight; i. (meth)acrylic acid ester monomers, which, when homopolymerized, produce a (meth)acrylate polymer having a T g ≤ 0°C; ii. optional acid functional ethylenically unsaturated monomers; iii. optional base-functional, ethylenically unsaturated polar monomers; iv. optional vinyl monomers; wherein the sum of i. to iv. is 100 parts by weight; b) polymerizing the resultant mixture; c) adding hydrogenated hydrocarbon tackifier if not present in step a); d) melt extruding the polymerized mixture; and e) crosslinking the extrudate by electron beam irradiation;