A multilayer heat-shrinkable non-cross-linked packaging film comprising at least: - an outer sealant layer (a), - an outer polyester layer (b), - an inner gas barrier layer (c), - a first core layer positioned between the sealant layer (a) and the gas barrier layer (c), - a second core layer positioned between the gas barrier layer (c) and the outer polyester layer (b), and - no inner layer comprising a major proportion of polyamide(s) or polyester(s), characterized in that - the core layers and do not comprise a major proportion of tie resins, - the percentage ratio of the total thickness of the first core layer and the second core layer in respect of the total thickness of the film is from 35% to 60%, - the percentage ratio of the thickness of the outer polyester layer (b) in respect of the total thickness of the film is from 3% to 15%, and - the core layer(s) and/or independently comprise a major proportion of a blend of a polyethylene component not having a bimodal molecular weight distribution and of a second resin selected from ethylene-vinyl acetate copolymer(s), acrylic acid copolymer(s), acrylate copolymer(s) and their admixtures, wherein said polyethylene component is present in amount of at least 40% by weight and said second resin is present in an amount of from 10% to 60% by weight in respect of the blend weight, and the ratio of the thickness of the first core layer in respect of the second core layer is from 0.4 to 2.2;or a polyethylene component having a bimodal molecular weight distribution, optionally in admixture with said second resin, wherein - either said polyethylene component has a density from 0.900 g/cc to 0.910 g/cc. and the ratio of the thickness of the first core layer in respect of the second core layer is from 0.4 to 2.2, or - said polyethylene component has a density from 0.905 g/cc to 0.915 g/cc and the ratio of the thickness of the first core layer in respect of the second core layer is from 0.4 to less than 1.8. - an outer sealant layer (a), - an outer polyester layer (b), - an inner gas barrier layer (c), - a first core layer positioned between the sealant layer (a) and the gas barrier layer (c), - a second core layer positioned between the gas barrier layer (c) and the outer polyester layer (b), and - no inner layer comprising a major proportion of polyamide(s) or polyester(s), - the core layers and do not comprise a major proportion of tie resins, - the percentage ratio of the total thickness of the first core layer and the second core layer in respect of the total thickness of the film is from 35% to 60%, - the percentage ratio of the thickness of the outer polyester layer (b) in respect of the total thickness of the film is from 3% to 15%, and - the core layer(s) and/or independently comprise a major proportion of a blend of a polyethylene component not having a bimodal molecular weight distribution and of a second resin selected from ethylene-vinyl acetate copolymer(s), acrylic acid copolymer(s), acrylate copolymer(s) and their admixtures, wherein said polyethylene component is present in amount of at least 40% by weight and said second resin is present in an amount of from 10% to 60% by weight in respect of the blend weight, and the ratio of the thickness of the first core layer in respect of the second core layer is from 0.4 to 2.2;or a polyethylene component having a bimodal molecular weight distribution, optionally in admixture with said second resin, wherein a blend of a polyethylene component not having a bimodal molecular weight distribution and of a second resin selected from ethylene-vinyl acetate copolymer(s), acrylic acid copolymer(s), acrylate copolymer(s) and their admixtures, wherein said polyethylene component is present in amount of at least 40% by weight and said second resin is present in an amount of from 10% to 60% by weight in respect of the blend weight, and the ratio of the thickness of the first core layer in respect of the second core layer is from 0.4 to 2.2;or a polyethylene component having a bimodal molecular weight distribution, optionally in admixture with said second resin, wherein - either said polyethylene component has a density from 0.900 g/cc to 0.910 g/cc. and the ratio of the thickness of the first core layer in respect of the second core layer is from 0.4 to 2.2, or - said polyethylene component has a density from 0.905 g/cc to 0.915 g/cc and the ratio of the thickness of the first core layer in respect of the second core layer is from 0.4 to less than 1.8.