  The effective field theory (EFT) turns out to be an instrument of an immense
value in all aspects of modern particle physics being theory, phenomenology or
experiment. In the paper I will show how to extend the systematic top down
approach to construction of the EFT proposed by Hitoshi Murayama (LBL,
Berkeley) and separately by John Ellis (King's Coll. London) groups to the
curved spacetime. To this end, I will take advantage of the heat kernel method
so far extensively used in obtaining the one-loop effective action in curved
spacetime. After an introduction of the formalism I will discuss its
application to the problem of an influence of gravity on the stability of the
Higgs effective potential.
