A cosmetic process for treating dry skin and/or a dry scalp of non-inflammatory origin, for example, in a menopausal woman, comprising topically applying to the skin and/or the scalp a composition comprising, in a physiologically acceptable medium, at least one (dihydro)jasmonic acid derivative； novel (dihydro)jasmonic acid derivatives and to the compositions, for example, suitable for topical application to the skin, comprising them.
