A tire having a tread comprising at least two radially superposed portions which comprise a radially external portion being made of a first rubber composition, and a radially internal portion being made of a second rubber composition which is different from the first rubber composition; the tread comprising a plurality of tread pattern elements delimited by cut-outs (3, 4); the tread pattern elements respectively comprising at least one lateral face (13, 14, 15, 16) and a contact surface intended to come into contact with the ground during rolling; the external portion of the tread pattern elements being at least partially covered on at least one of the lateral face(s) (13, 14, 15, 16) with a layer of a third rubber composition which is different from the first rubber composition and the second rubber composition; wherein the first rubber composition is based on at least: - an elastomer matrix; - a reinforcing filler; and - a plasticizing agent; characterised in that the second rubber composition is based on at least: - an elastomer matrix; - a reinforcing filler; and - a plasticizing agent comprising 5 to 100 phr of a liquid plasticizer(s) exhibiting a glass transition temperature(s) of less than -70°C, wherein the plasticizing agent comprises no liquid plasticizer other than a liquid phosphate plasticizer or comprises at most 50 phr of a liquid plasticizer(s) other than a liquid phosphate plasticizer(s); wherein the third rubber composition is based on at least: - an elastomer matrix; - a reinforcing filler; and - a plasticizing agent comprising 5 to 100 phr of a hydrocarbon resin(s) exhibiting a glass transition temperature(s) of more than 20°C; wherein the glass transition temperature of the first rubber composition on the maximum tanδ when subjected to an alternating maximum stress of 0.70 MPa at a frequency of 10 Hz is higher than that of the second rubber composition, and is lower than that of the third rubber composition. the tread comprising a plurality of tread pattern elements delimited by cut-outs (3, 4); the tread pattern elements respectively comprising at least one lateral face (13, 14, 15, 16) and a contact surface intended to come into contact with the ground during rolling; the external portion of the tread pattern elements being at least partially covered on at least one of the lateral face(s) (13, 14, 15, 16) with a layer of a third rubber composition which is different from the first rubber composition and the second rubber composition; wherein the first rubber composition is based on at least: - an elastomer matrix; - a reinforcing filler; and - a plasticizing agent; - an elastomer matrix; - a reinforcing filler; and - a plasticizing agent; characterised in that the second rubber composition is based on at least: - an elastomer matrix; - a reinforcing filler; and - a plasticizing agent comprising 5 to 100 phr of a liquid plasticizer(s) exhibiting a glass transition temperature(s) of less than -70°C, wherein the plasticizing agent comprises no liquid plasticizer other than a liquid phosphate plasticizer or comprises at most 50 phr of a liquid plasticizer(s) other than a liquid phosphate plasticizer(s); - an elastomer matrix; - a reinforcing filler; and - a plasticizing agent comprising 5 to 100 phr of a liquid plasticizer(s) exhibiting a glass transition temperature(s) of less than -70°C, wherein the plasticizing agent comprises no liquid plasticizer other than a liquid phosphate plasticizer or comprises at most 50 phr of a liquid plasticizer(s) other than a liquid phosphate plasticizer(s); wherein the third rubber composition is based on at least: - an elastomer matrix; - a reinforcing filler; and - a plasticizing agent comprising 5 to 100 phr of a hydrocarbon resin(s) exhibiting a glass transition temperature(s) of more than 20°C; - an elastomer matrix; - a reinforcing filler; and - a plasticizing agent comprising 5 to 100 phr of a hydrocarbon resin(s) exhibiting a glass transition temperature(s) of more than 20°C; wherein the glass transition temperature of the first rubber composition on the maximum tanδ when subjected to an alternating maximum stress of 0.70 MPa at a frequency of 10 Hz is higher than that of the second rubber composition, and is lower than that of the third rubber composition.