Inspired by the recently observed tensions between the experimental data and the theoretical predictions, based on QCD factorisation, for several colour-allowed non-leptonic B-meson decays, we study the potential size of new physics (NP) effects in the decay channels b → cūd(s). Starting from the most general effective Hamiltonian describing the b → cūd(s) transitions, we compute NP contributions to the theoretical predictions of B-meson lifetime and of B-mixing observables. The well-known lifetime ratio τ(B+)/τ(Bd) and the experimental bound on the semi-leptonic CP asymmetry $$ {a}_{sl}^d $$
a
sl
d
, provide strong, complementary constraints on some of the NP Wilson coefficients.