  It is known that the Higgs potential in the Standard Model can drive a
successful inflation as long as the Higgs field couples non-minimally to
gravity. It is then inevitable to take into account the loop corrections of the
Standard Model particles to the Higgs potential in the Higgs inflation. In this
paper, we discuss the one-loop corrections at finite temperature to the
curvature perturbation generated during the Higgs inflation. We find that the
thermal loop effects can suppress the power of the curvature perturbation at
large scales, thus resulting in a low quadrupole of the temperature anisotropy
in the cosmic microwave background.
