During oxidative hair treatment, a-lipoic acids and their derivatives are particularly well suited for reducing hair damage and irritation of the scalp. By means of a method for oxidative hair treatment in which an oxidative cosmetic substance, containing at least one oxidation substance in a cosmetic carrier, is applied to the hair and rinsed off after an exposure time, wherein - a cosmetic substance containing at least one compound from the group formed from a-lipoic acid and its derivatives in a cosmetic carrier is applied just before the application of the oxidative cosmetic substance and is also rinsed off after an exposure time, and/or with the oxidative cosmetic substances containing, in addition, at least one compound from the group formed from a-lipoic acid and its derivatives, - it was possible successfully to reduce hair damage caused by oxidative processes, as well as to reduce irritation of the scalp.α-リポ酸およびその誘導体は、酸化的毛髪処理の間、毛髪の損傷および頭皮への刺激を軽減するのに特に適している。化粧品用キャリヤー中に少なくとも1種の酸化物質を含有する酸化化粧品を毛髪に適用し、暴露時間後に濯ぎ落とす、酸化的毛髪処理法であって、α-リポ酸およびその誘導体からなる群から選択される少なくとも1種の化合物を化粧品用キャリヤー中に含有する化粧品を、酸化化粧品の適用直前に適用し、暴露時間後に再び濯ぎ落とし、および/または酸化化粧品が、α-リポ酸およびその誘導体からなる群から選択される少なくとも1種の化合物を更に含有する、方法によって、成功裏に、酸化処理に起因する毛髪の損傷を軽減し、頭皮への刺激を軽減することができた。