The Techni-Pati-Salam Composite Higgs

TL;DR

This paper introduces the Techni-Pati-Salam composite Higgs model, a detailed UV-complete framework that explains fermion masses, predicts a dark matter candidate, and suggests lattice studies to validate its near-conformal dynamics.

Contribution

It presents the first complete UV completion of composite Higgs models with top partial compositeness based on a specific gauge theory and predicts new phenomena like a dark matter candidate.

Findings

Fermion masses and mixings achieved via partial compositeness.

Predicted confining $Sp(4)_{HC}$ gauge dynamics.

Dark matter candidate with TeV-scale mass.

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.