Abstract
Composite Higgs models can be extended to the Planck scale by means of the partially unified partial compositeness (PUPC) framework. We present in detail the Techni-Pati-Salam model, based on a renormalizable gauge theory $SU(8)_{PS}\times SU(2)_L\times SU(2)_R$. We demonstrate that masses and mixings for all generations of standard model fermions can be obtained via partial compositeness at low energy, with four-fermion operators mediated by either heavy gauge bosons or scalars. The strong dynamics is predicted to be that of a confining $Sp(4)_{\rm HC}$ gauge group, with hyper-fermions in the fundamental and two-index anti-symmetric representations, with fixed multiplicities. This motivates for Lattice studies of the Infra-Red near-conformal walking phase, with results that may validate or rule out the model. This is the first complete and realistic attempt at providing an Ultra-Violet completion for composite Higgs models with top partial compositeness. In the baryon-number conserving vacuum, the theory also predicts a Dark Matter candidate, with mass in the few TeV range, protected by semi-integer baryon number.
Highlights
The Standard Model (SM) of particle physics [1,2,3] has withstood all the attempts at discovering signs of new physics, with most recently the null results from the LHC experiments
We demonstrate that masses and mixings for all generations of standard model fermions can be obtained via partial compositeness at low energy, with four-fermion operators mediated by either heavy gauge bosons or scalars
That EW symmetry breaking (EWSB) may originate from condensation in a new sector of strong dynamics is an attractive idea
Summary
The Standard Model (SM) of particle physics [1,2,3] has withstood all the attempts at discovering signs of new physics, with most recently the null results from the LHC experiments. [54] within the partially unified partial compositeness (PUPC) framework: The confining gauge symmetry is partially unified with the SM ones, with the gauge symmetry breaking due to high-scale scalars In this sense, this approach lies in between the early extended technicolor approaches and theories with scalars while retaining the ambition of achieving a complete theory of flavor in a natural way, i.e., without large hierarchies between scalar masses and the Planck scale. [54]: Here, we focus on the Techni-Pati-Salam (TPS) model based on a partially unified gauge symmetry, GTPS 1⁄4 SUð8ÞPS × SUð2ÞL × SUð2ÞR: We will show how to construct a minimal model, which helps in predicting the properties of the microscopic theory underlying the low energy composite dynamics (that can be studied on the lattice) and the dynamics of the walking phase.
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