British Airways carried out and published data from radiation monitoring of Concorde crews: "Supersonic transport (SST) flights The Concorde SST... was designed to fly at the... operating altitude of around 18 km (about 59 000 ft). Concern for potential hazards... led to monitoring equipment... being installed in all Concorde aircraft. Many data have been derived from this, including more than 20 years experience of the radiological environment. ...these flights indicate that the radiation exposure of Concorde flying crew is unlikely to exceed 6 mSv/y." [2]
I will also suggest the interested reader look into "radiation hormesis" and what data really exists to support the linear-no-threshold (LNT) model, or the idea that any amount of radiation raises risk, below certain dose rates. https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2889502/
[1] http://www.icrp.org/icrpaedia/limits.asp [2] https://www.ncbi.nlm.nih.gov/pmc/articles/PMC1128520/pdf/oen... [3] http://eur-lex.europa.eu/legal-content/EN/TXT/PDF/?uri=OJ:L:...