The Left-Right Symmetric Composite Higgs

TL;DR

This paper introduces a left-right symmetric composite Higgs model utilizing a top exchange symmetry to cancel quadratic divergences, resulting in a UV-insensitive Higgs potential with a minimal coset structure and specific mass spectrum predictions.

Contribution

It constructs a novel minimal left-right symmetric composite Higgs model with a UV-complete fermionic sector and demonstrates how the exchange symmetry reduces fine tuning and cancels divergences.

Findings

Higgs potential remains finite and UV insensitive due to exchange symmetry.

Colored top partners are predicted to be heavier than 1.5 TeV.

Vector mesons can be very heavy without affecting the Higgs mass.

Abstract

We find the exchange symmetry between left and right handed top quark in composite Higgs model with partial compositeness is efficient to soften the Higgs potential and reduce fine tuning. This symmetry can keep the Higgs potential in top sector invariant under trigonometric parity $\sin (h/f) \leftrightarrow \cos (h/f)$ and thus the Higgs quadratic divergences can be completely cancelled, resulting a UV insensitive Higgs potential. We explicitly construct the minimal left-right symmetric model based on coset space $SO(6)/SO(5)$ which is locally isomorphic to $SU(4)/Sp(4)$ and thus has well defined fermionic UV completion. This UV completion can automatically keep Higgs potential in gauge sector finite even the gauge sector breaks this discrete symmetry. We find that the vector mesons can be very heavy while the colored top partners are relatively light ($>1.5$ TeV) to obtain a light Higgs.