Cosmetic composition comprising a nonionic fixing polymer and a specific ester of polyethylene glycol and of fatty acid, and a method for fixing the hairstyle

A method for fixing, shaping or providing form retention to a hairstyle, comprising applying to hair a cosmetic composition comprising, in a cosmetically acceptable medium, at least one nonionic fixing polymer other than poly(vinylpyrrolidone/vinyl acetate) copolymers and at least one ester of polyethylene glycol and of fatty acid of formula:

• R1CO—(OCH2CH2)n0—[OCH2—CH(OR2)—CH2]n1—(OCH2CH2)n2—R3
• wherein
• R2 is chosen from hydrogen and a (CH2CH2O)n3COR4 group;
• n1 is an integer equal to 0 or 1;
• n2 is an integer ranging from 2 to 300;
• n3 is an integer ranging from 1 to 300;
• n0 is an integer ranging from 0 to 300;
• R3 is chosen from hydrogen, an OH group and an R5COO group;
• R1, R4 and R5 are chosen, independently of one another, from C10 to C30 alkyl groups and C10 to C30 alkylene groups.

A method for conferring good hold over time on a hair style comprising applying to the hair a cosmetic composition comprising, in a cosmetically acceptable medium, at least one nonionic fixing polymer other than poly(vinylpyrrolidone/vinyl acetate) copolymers and at least one ester of polyethylene glycol and of fatty acid of formula:

• R1CO—(OCH2CH2)n0—[OCH2—CH(OR2)—CH2]n1—(OCH2CH2)n2—R3
• wherein
• R2 is chosen from hydrogen and a (CH2CH2O)n3COR4 group;
• n1 is an integer equal to 0 or 1;
• n2 is an integer ranging from 2 to 300;
• n3 is an integer ranging from 1 to 300;
• n0 is an integer ranging from 0 to 300;
• R3 is chosen from hydrogen, an OH group and an R5COO group;
• R1, R4 and R5 are chosen from, independently of one another, C10 to C30 alkyl groups and C10 to C30 alkylene groups.