  We propose a scenario of spontaneous leptogenesis in Higgs inflation with
help from two additional operators: the Weinberg operator (Dim 5) and the
derivative coupling of the Higgs field and the current of lepton number (Dim
6). The former is responsible for lepton number violation and the latter
induces chemical potential for lepton number. The period of rapidly changing
Higgs field, naturally realized in Higgs inflation during the reheating, allows
large enhancement in the produced asymmetry in lepton number, which is
eventually converted into baryon asymmetry of the universe. This scenario is
compatible with high reheating temperature of Higgs inflation model.
