Technically, it appears that peroxide and other oxidisers are not allowed. I don't have any particular expertise, it may depend upon your particular dye and who is doing the asking or checking.
Items forbidden for carriage on British Airways by passengers and crew
The following list covers all those items that are forbidden to be carried anywhere on British Airways flights:
•Disabling devices - mace, pepper spray, etc.
•Explosives - fireworks, flares, etc.
•Security-type attaché cases containing dangerous goods - pyrotechnic devices, etc.
•Electro shock weapons - e.g. Tasers - containing dangerous goods such as explosives, compressed gases. lithium batteries, etc.
•Strike anywhere matches
•Flammable gas cylinders
•Flammable liquids - paint, petrol, lighter refills, solvents, varnish, etc.
•Flammable solids - firelighters, Chinese lanterns, etc.
•Substances liable to spontaneous combustion - Phosphorous
•Substances that emit flammable gases in contact with water
•Oxidising materials - bleach, peroxides, some fertilisers, etc.
•Corrosives materials – acids, alkalis, wet cell batteries, etc.
•Toxic (poisonous) substances - weed killer, insecticides, etc.
http://www.britishairways.com/travel...t/public/en_gb