We investigate effects of spontaneous breakdown of CP in B d,s−Bd,s systems in leftright symmetric models. Assuming that the left-right contribution to the B0−B0 matrix element M12 can be at most equal to the standard model one we obtain a new lower bound, MH >∼ 12 TeV, on the flavour changing Higgs boson mass. Most importantly, the convention independent parameter Re(ǫB), which measures the am...