Primordial black holes and scalar induced secondary gravitational waves
  from Higgs inflation with non-canonical kinetic term
  By combining the noncanonical kinetic term with the nonminimal coupling
between gravity and Higgs field, we propose a novel inflationary mechanism and
show that the curvature perturbation at small scales can be enhanced by the
fluctuations of the Higgs field while satisfying the cosmic microwave
background observations at large scales. We find that the recent NANOGrav
signal and the black holes in LIGO-Virgo events may originate from the vacuum
fluctuations of Higgs field. The cosmological probe of Higgs field by
space-based gravitational wave observatory in the future is proposed. We also
consider the non-Gaussianity effect on the abundance of primordial black holes
and scalar induced secondary gravitational waves. We find that primordial
non-Gaussianity makes primordial black holes form more easily, but its effect
on the energy density of scalar induced gravitational waves is negligible.
