  The existence of magnetic monopoles, also predicted in some GUT theories,
would symmetrise Maxwell equations and explain the charge quantisation.
Searches for them are being performed in cosmic telescopes as well as in
collider experiments, such as MoEDAL and ATLAS. In this report, we focus on
the, least explored, photon-fusion mechanism, yet Drell-Yan results are
discussed, too. Cross sections for monopoles of spin 0, 1/2 and 1 for an
effective monopole-velocity-dependent magnetic charge are presented. For
spin-1/2 and spin-1 monopoles, a magnetic-moment term is included, which is
treated as a new phenomenological parameter and, together with the
velocity-dependent coupling, allows for a perturbative treatment of the
cross-section calculation. We present an appropriate implementation of
photon-fusion and Drell-Yan processes into MadGraph UFO models, aimed to serve
as a useful tool in monopole searches at LHC, especially for photon fusion,
given that it has not been considered by experimental collaborations recently.
Moreover, the experimental implications of such perturbatively reliable
monopole searches are discussed.
