  We present recent results of the rare semileptonic decay B -> X_s l+ l-. We
particularly focus on higher order electroweak corrections in the Standard
Model (SM) as well as O(alpha_s) corrections in Two-Higgs-doublet models
(THDM), both of which are computed within an effective field theory approach.
  The calculation of higher order electroweak corrections reveals the presence
of enhanced electromagnetic logarithms log(m_b^2/m_l^2) in the differential
branching ratio. The inclusion of O(alpha_s) in the THDM reduces the scale
dependence of the corresponding Wilson coefficients significantly.
