Echoes of 2HDM inflation at the collider experiments
  We study the correlation between the constraints on general two Higgs doublet
model from Higgs inflation and from collider experiments. The parameter space
receives meaningful constraints from direct searches at the Large Hadron
Collider and from flavor physics if $m_H$, $m_A$, and $m_{H^\pm}$ are in the
sub-TeV range, where $H$, $A$, and $H^\pm$ are the CP even, CP odd, and charged
Higgs bosons, respectively. We find that in the parameter region favored by the
Higgs inflation, $H$, $A$, and $H^\pm$ are nearly degenerate in mass.We show
that such near degeneracy can be probed directly in the upcoming runs of the
Large Hadron Collider, while the future lepton colliders such as the
International Linear Collider and the Future Circular Collider would provide
complementary probes.
