Quintessence Saves Higgs Instability

Abstract

We study a model where quintessence potential $e^{-\xi \varphi }$ coupled to Higgs potential. We calculate the evolution of the quintessence, and track the running of the effective Higgs self-coupling. We find it slightly larger than that of the standard model in the past. Requiring the electroweak vacuum to be absolutely stable in inflationary era, we find a lower bound $\xi >0.35\pm 0.05$, where the uncertainty is mainly from the measurement of the top quark mass. This lower bound, together with the upper bound from the observation for dark energy $\xi \lesssim 0.6$, narrows down the parameter space and makes it possible to test this model in the near future. Interestingly, the bound on $\xi$, if actually shown to be the case by observation, supports the recently proposed Swampland Conjecture.

6 pages, 1 figure

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