arXiv:1709.09222·v3·High Energy Physics — Theory
On the Stability of Infinite Derivative Abelian Higgs
Anish Ghoshal🇮🇹 · Anupam Mazumdar🇳🇱 · Nobuchika Okada🇺🇸 · Desmond Villalba🇺🇸
Abstract
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.
Comments: 7 pages, 2 figures, the version accepted for publication in Physical Review D