We show how current state of the art experimental and theoretical determinations allow for sizable  New physics (NP) 
effects in the non-leptonic Wilson coefficients C_1 and C_2.  We argue that  power corrections in the QCD factorization 
formalism play an important role in reducing the regions for these potential NP contributions.  We evaluate the impact of 
these  NP corrections in the determination of the angle CKM $\gamma$  as well as on the B  mixing observable $\Delta \Gamma_d$.