May a 45 year old woman, who has nine children and is not willing to have any more children, have a tubal ligation as a permanent form of birth control?

Tubal ligation involves halachic prohibitions that do not appear in other forms of birth control. For this reason it would be permitted by a halachic authority only if he were to become appraised of medical or of psychological circumstances that rule out halachically more preferable methods. If they believe such circumstances exist, the woman (together with her husband) should expain them in detail to a halachic authority who would explore the alternatives with them.