H parity and the stable Higgs boson in the SO(5) x U(1) gauge-Higgs unification

TL;DR

This paper explores a gauge-Higgs unification model in warped space where H parity conservation leads to a stable Higgs boson with a mass range of 70 to 135 GeV, impacting dark matter research.

Contribution

It introduces H parity conservation in the SO(5) x U(1) gauge-Higgs unification model, predicting a stable Higgs boson in a specific mass range.

Findings

H parity is conserved in the model.

The neutral Higgs boson is the lightest odd H parity particle.

Higgs mass is predicted to be 70-135 GeV depending on warp factor.

Abstract

In the SO(5) x U(1) gauge-Higgs unification model in the Randall-Sundrum warped space there results the conservation of the H parity. The H parity is assigned to all 4D fields including excited modes in Kaluza-Klein towers. The neutral Higgs boson is the lightest particle of odd H parity, consequently becoming absolutely stable. Its mass is found to be 70 \sim 135 GeV for the warp factor z_L = 10^5 \sim 10^{15}.