  Monopole bubbling effect is screening of magnetic charges of singular Dirac
monopoles by regular 't Hooft-Polyakov monopoles. We study properties of weak
coupling perturbative series in the presence of monopole bubbling effects as
well as instantons. For this purpose, we analyze supersymmetric 't Hooft loop
in four dimensional $\mathcal{N}=2$ supersymmetric gauge theories with
Lagrangians and non-positive beta functions. We show that the perturbative
series of the 't Hooft loop is Borel summable along positive real axis for
fixed instanton numbers and screened magnetic charges. It turns out that the
exact result of the 't Hooft loop is the same as the sum of the Borel
resummations over instanton numbers and effective magnetic charges. We also
obtain the same result for supersymmetric dyonic loops.
