For example (and there are many):
Data from studies in the United Kingdom showed that both the Pfizer and AstraZeneca COVID-19 vaccines were effective in preventing onward transmission of the virus to close contacts in case of breakthrough infections.
In one study among the general population in the United Kingdom, the effectiveness against transmission from breakthrough infections to household contacts from 21 days after the first dose was 47% (95% CI: 37–57) for the AstraZeneca COVID-19 vaccine and 49% (95% CI: 41–56) for the Pfizer COVID-19 vaccine. [1]
Another study from the United Kingdom reported that, among healthcare workers, who predominantly received the Pfizer COVID-19 vaccine, vaccination was associated with a 30% (95% CI: 22–37) reduction in transmission of SARS-CoV-2 to household contacts. [2]
[1] Harris RJ, Hall JA, Zaidi A, et al. Impact of vaccination on household transmission of SARS-COV-2 in England. 2021.[2] Shah ASV, Gribben C, Bishop J, et al. Effect of vaccination on transmission of COVID-19: an observational study in healthcare workers and their households (preprint). medRxiv 2021.