  Cross sections and rate coefficients for rovibronic excitation of the CH$^+$
ion by electron impact and dissociative recombination of CH$^+$ with electrons
are evaluated using a theoretical approach combining an R-matrix method and
molecular quantum defect theory. The method has been developed and tested,
comparing the theoretical results with the data from the recent Cryogenic
Storage Ring experiment. The obtained cross sections and rate coefficients
evaluated for temperatures from 1~K to 10,000~K could be used for plasma
modeling in interpretation of astrophysical observations and also in
technological applications where molecular hydrocarbon plasma is present.
