New Physics and Evidence for a Complex CKM

We carefully analyse the present experimental evidence for a complex CKM matrix, even allowing for New Physics contributions to $epsilon_{K}$, $a_{J/Psi K_S}$, $Delta M_{B_{d}}$, $Delta M_{B_{s}}$, and the $Delta I=1/2$ piece of $Btorhorho$ and $Btorhopi$. We emphasize the crucial r^ ole played by the angle $gamma$ in both providing irrefutable evidence for a complex CKM matrix and placing constraints on the size of NP contributions. It is shown that even if one allows for New Physics a real CKM matrix is excluded at a 99.92% C.L., and the probability for the phase $gamma$ to be in the interval $[-170^circ;-10^circ]cup [10^circ;170^circ]$ is 99.7%.