A coupled-channel deperturbation treatment of the X2Σ+∼A2Π∼B2Σ+ complex of the CN radical towards spectroscopic accuracy

•A global deperturbation analysis of the experimental term values of the X2Σ+, A2Π and B2Σ+ states of the 12C14N was performed using the reduced 4$\times$4 coupled-channel deperturbation model.•The explicit treatment of the J−dependingσ−andΛ−-doubling effects caused by the remote states has significantly improved accuracy of the description of the X∼A∼B complex.•The optimized interatomic potentials and electronic coupling functions describe the rovibronic term values of the complex on a spectroscopic level of coincidence.•The mass-invariant deperturbation parameters can extend a line-list into a wide region of vibrational and rotational quantum numbers for all CN isotopomers.