  Motivated by the stringy effects by modifying the local kinetic term of an
Abelian Higgs field by the Gaussian kinetic term we show that the Higgs field
does not possess any instability, the Yukawa coupling between the scalar and
the fermion, the gauge coupling, and the self interaction of the Higgs yields
exponentially suppressed running at high energies, showing that such class of
theory never suffers from vacuum instability. We briefly discuss its
implications for the early Universe cosmology.
