Single vector leptoquark production at hadron colliders due to direct lepton-gluon interaction

The cross section of single vector leptoquark production in direct lepton-gluon interaction is calculated. In a model independent analysis an effective Lagrangian describing the most general $C$ and $P$ conserving coupling of the leptoquarks to gluons is considered. An analytical expression is derived for the cross section in the case of anomalous vector leptoquark couplings to the gluon field. The cross sections of inclusive production of ($eq$)-, ($\mu q$)- and ($\tau q$)-type vector leptoquarks in $ep$ and $pp$ collisions due to direct lepton-gluon interaction are evaluated for $q=u, b, t$. Dependences of the cross sections on the anomalous couplings are investigated. The obtained results can be useful for studies at $ep$ colliders and the LHC.