Rare decay D→ωl+l

Rare decays of charmed mesons due to flavour-changing weak neutral currents are forbidden at the tree level in the Standard Model and are additionally suppressed by the Glashow-Iliopoulos-Maiani mechanism. As a result, the role of intermediate resonance contributions increases significantly. Rare decays of $D$ meson into light vector meson $\omega$ are studied in detail within the framework of the relativistic quark model based on the quasipotential approach and quantum chromodynamics. The effects of electroweak physics at short distances and the contributions of intermediate resonances at large distances are taken into account using effective Wilson coefficients. The obtained results are consistent with the existing upper experimental limits.