Search for new physics via CP violation in B_{d,s} to l^+ l^-

It is shown that in the approximation of $|\frac{q}{p}|$=1 the CP violation in $B^0_{d,s} \to l^+ l^-$ decays vanishes in SM. In a 2HDM with CP violating phases and MSSM the CP asymmetries depend on the parameters of models and can be as large as 40% for $B^0_d$ and 3% for $B^0_s$. An observation of CP asymmetry in the decays would unambiguously signal the existence of new physics.