Naturalness of Asymptotically Safe Higgs

Frontiers in Physics

Strumia, Alessandro¹  Pelaggi, Giulio M.³  Vigiani, Elena⁴  Sannino, Francesco⁵ 

[1] di Pisa, Italy;CP3-Origins and Danish IAS, University of Southern Denmark, Denmark;Dipartimento di Fisica dell'INFN, Italy;Università

关键词: asymptotic safety;    beyond standard model physics;    Naturalness;    QFT;    Fundamental interactions;   

DOI  :  10.3389/fphy.2017.00049

学科分类：物理（综合）

来源: Frontiers

【 摘 要 】

We extend the list of theories featuring a rigorous interacting ultraviolet fixed point by constructing the first theory featuring a Higgs-like scalar with gauge, Yukawa and quartic interactions. We show that the theory enters a perturbative asymptotically safe regime at energies above a physical scale $\Lambda$. We determine the salient properties of the theory and use it as a concrete example to test whether scalars masses unavoidably receive quantum correction of order $\Lambda$. Having at our dispose a calculable model allowing us to precisely relate the IR and UV of the theory we demonstrate that the scalars can be lighter than $\Lambda$. Although we do not have an answer to whether the Standard Model hypercharge coupling growth towards a Landau pole at around $\Lambda \sim 10^{40}\GeV$ can be tamed by non-perturbative asymptotic safety, our results indicate that such a possibility is worth exploring. In fact, if successful, it might also offer an explanation for the unbearable lightness of the Higgs.

【 授权许可】

CC BY