Note on "Vacuum stability of a general scalar potential of a few fields"

Abstract

The purpose of this letter is to point out that some conclusions in the paper (Eur. Phys. J. C 76, 324(2016)) are incomplete, and to give complete and improved conclusions. The analytic necessary and sufficient conditions are given for the boundedness-from-below conditions of general scalar potentials of two real scalar fields φ1 and φ2 and the Higgs bonson H.

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