Abstract
Supersymmetry and Compositeness are two prevalent paradigms providing both a solution to the hierarchy problem and a motivation for a light Higgs boson state. As the latter has now been found, its dynamics can hold the key to disentangle the two theories. An open door towards the solution is found in the context of 2-Higgs Doublet Models (2HDMs), which are necessary to Supersymmetry and natural within Compositeness in order to enable Electro-Weak Symmetry Breaking. We show how 2HDM spectra of masses and couplings accessible at the Large Hadron Collider may allow one to separate the two scenarios.
Highlights
What has been the discovery of the cornerstone of the Standard Model (SM), the Higgs boson, should turn out to be the stepping stone into a new physics world
We have calculated the mass and coupling spectra of a Composite 2HDM (C2HDM) based on the global symmetry breaking of S O (6) → S O (4) × S O (2), as all these physical quantities are predicted by the dynamics of such a strong sector
We have focused on the differences between predictions given in the C2HDM and MSSM, both of which provide a 2-Higgs Doublet Models (2HDMs) as a low energy effective theory of Electro-Weak Symmetry Breaking (EWSB), an Aligned 2HDM (A2HDM) in the case of Compositeness and a Type-II 2HDM in the case of Supersymmetry
Summary
What has been the discovery of the cornerstone of the Standard Model (SM), the Higgs boson, should turn out to be the stepping stone into a new physics world. The former predicts a light Higgs boson as it relates its trilinear self-coupling ( its mass) to the smallness of the gauge couplings and avoids the hierarchy problem thanks to the presence of supersymmetric counterparts, of different statistics with respect to the SM objects (a boson for a fermion, and vice versa), which cancel divergent contributions to the Higgs mass Both conditions are achieved most effectively when the top quark partner in Supersymmetry, the stop, has a mass above the TeV scale, thereby lifting the tree-level Higgs boson mass from below M Z to the measured value of 125 GeV or so. Connection, we shall prove here that differences exist between these two BSM scenarios that can presently be tested at the Large Hadron Collider (LHC) This can become manifest if one realises that an enlarged Higgs sector, notably involving a 2-Higgs Doublet Model (2HDM) dynamics, is required by Supersymmetry and natural in Compositeness. By exploiting a recently completed calculation of the Higgs potential [1] in a Composite 2HDM (C2HDM), we will contrast the ensuing results concerning Higgs boson masses and couplings to the well known ones established in Supersymmetry [2]
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