Higgs Critical Exponents and Conformal Bootstrap in Four Dimensions

Preprint number: CP3-Origins-2014-27 DNRF90 and DIAS-2014-27
Authors: Oleg Antipin (INFN, Sezione di Firenze), Esben Mølgaard (CP3-Origins & DIAS), and Francesco Sannino (CP3-Origins & DIAS)
External link: arXiv.org

We investigate, within a precise framework, relevant properties of composite operators emerging in nonsupersymmetric gauge-Yukawa theories with interacting conformal fixed points in four dimensions. The theories investigated in this work are structurally similar to the standard model of particle interactions, but differ from the standard model by developing perturbative interacting fixed points. Having at our disposal nonsupersymmetric interacting four-dimensional conformal field theories, we investigate the physical properties of the singlet and the adjoint composite operators quadratic in the Higgs field. We show, in the Veneziano limit, and at the maximum known order in perturbation theory, that the singlet sector decouples from the other operators. This fact allows the numerical bootstrap constraints to be tested against precise four dimensional conformal field theoretical results.