The real-world study includes data on positive Covid PCR test results between May and July 2021 among more than a million people who had received two doses of Pfizer or AstraZeneca vaccine.
Protection after two shots of Pfizer decreased from 88% at one month to 74% at five to six months.
For AstraZeneca, the fall was from 77% to 67% at four to five months.
http://archive.today/2021.08.25-105339/https://www.bbc.com/news/health-58322882