Why the EU and UK do not permit it
When the EU consolidated its food additive rules into Regulation 1333/2008, benzoyl peroxide was not included in the approved list (Annex II). The UK's post-Brexit framework retains the same list. The absence reflects a precautionary position: the EU did not consider the cosmetic benefit of whiter flour to outweigh the need to carry an oxidising chemical into the food supply. Bleached flour has been effectively banned in the EU since before the 2008 regulation codified the list.
Benzoyl peroxide does not appear in Annex II of EU Regulation 1333/2008 (the exhaustive list of permitted food additives), meaning it has no authorised use in any food category in the EU or the UK.
RegulatoryUK FSA Approved Additives and E Numbers list; assimilated EU Regulation 1333/2008 Annex II
Breakdown product: benzoic acid
Benzoyl peroxide reacts in flour to produce benzoic acid. Benzoic acid is E210, a permitted preservative in certain foods at controlled levels. In bleached flour the residual benzoic acid levels are low, but the conversion is complete and measurable. Regulatory frameworks that permit benzoyl peroxide in flour (such as the US FDA) consider the residual benzoic acid acceptable under good manufacturing practice limits.
Benzoyl peroxide decomposes to benzoic acid when used as a flour bleaching agent; the residual benzoic acid is the primary reaction product detectable in bleached flour.
2009Regulatory reviewHong Kong Centre for Food Safety, Food Safety Focus No. 30
The US FDA lists benzoyl peroxide as generally recognised as safe (GRAS) as a bleaching agent in flour at levels consistent with good manufacturing practice, with benzoic acid as the accepted residue.
RegulatoryUS FDA Code of Federal Regulations, Title 21, Part 137 (Cereal Flours and Related Products)
Nutritional trade-off: carotenoid destruction
The carotenoid pigments that benzoyl peroxide destroys include beta-carotene and lutein, compounds with antioxidant and nutritional value. Bleaching removes these from the flour. This is one reason nutritional and food science commentary notes that bleached flour is nutritionally inferior to unbleached flour in this respect, though the absolute amounts in flour are small.
Chemical bleaching of flour with benzoyl peroxide destroys naturally occurring carotenoid pigments including beta-carotene and xanthophylls, reducing the antioxidant content of the flour.
LabScienceDirect Topics, Flour Treatment Agent overview