Little Higgs models address the hierarchy problem by identifying the SM Higgs doublet as pseudo-Nambu-Goldstone bosons arising from global symmetries with collective breakings. These models are designed to address the little hierarchy problem up to a scale of $\mathrm{\Lambda }\sim \mathcal{O}(10)\mathrm{TeV}$. Consequently, these models necessitate an UV completion above this scale. On the other hand, conformal extensions of the Standard Model are intriguing because scales emerge as a consequence of dimensional transmutation. In this study, we present a unified framework in which the electroweak hierarchy problem is tackled through a conformal symmetry collectively broken around the TeV scale, offering an appealing UV completion for little Higgs models. Notably, this framework automatically ensures the presence of the required UV fixed points, eliminating the need for careful adjustments to the particle content of the theory. Moreover, this framework naturally addresses the flavor puzzles associated with composite or little Higgs models. Furthermore, we suggest that in this framework all known little Higgs models can be UV completed through conformal dynamics above the scale $\mathrm{\Lambda }$ up to arbitrary high scales.

• Received 6 October 2023
• Accepted 9 April 2024

DOI:https://doi.org/10.1103/PhysRevD.109.075041

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

Published by the American Physical Society