  One of the urgent issues in high energy physics is the experimental
confirmation of the electroweak monopole predicted by the standard model, and
currently MoEDAL at LHC is actively searching for the monopole. However, the
present LHC cannot produce the monopole if the mass is bigger than 7 TeV, while
the monopole mass is expected to be around $M_W/\alpha \simeq 11~\text{TeV}$.
In this paper we discuss how LHC could circumbent this energy constraint and
produce the monopole even when the mass is bigger than 7 TeV, based on the
following ideas. First, in the topological production of the monopole the baby
monopole mass at creation could be considerably smaller than the adolescent
mass. Second, the binding energy of the monopole-antimonopole pair could
effectively reduce the mass of the bound state. We discuss how these ideas can
actually be realized at LHC to produce the monopole pairs. In particular, we
argue that LHC could produce the baby electroweak monopoles whose mass could be
around 5.3 TeV, smaller than the adolescent monopole mass around 11.0 TeV.
Moreover, we show that LHC could produce the monopolium bound state with mass
around 2.5 TeV, even when the total mass of the monopole-antimonopole pair is
around 10.6 TeV. Our analysis could play an important role for MoEDAL
experiment.
