Abstract
We build a minimal neutral naturalness model in which the top partners are not charged under QCD, with a pseudo Goldstone Higgs arising from $SO(5)/SO(4)$ breaking. The color-neutral top partners generate the Higgs potential radiatively without quadratic divergence. The misalignment between the electroweak scale and global symmetry breaking scale is naturally obtained from suppression of the Higgs quadratic term, due to cancellation between singlet and doublet top partner contributions. This model can be embedded into ultraviolet holographic setup in composite Higgs framework, which even realizes finite Higgs potential.
Highlights
The hierarchy problem remains as one of the unsolved puzzles in the Standard Model (SM), i.e., the Higgs mass is sensitive to the Planck scale through quantum effects
In order to have a neutral-naturalness cancellation, we introduce an internal-SOð5Þ rotational symmetry, which leads to the embeddings of singlet and doublet top partners in the Q L with appropriate coefficients, as shown in Eq (4)
The hidden sector contains dark SUð3Þ0c color, under which new electroweak singlet and doublet fermions are charged. These fermions are responsible for generating the radiative Higgs potential with their masses around scale f
Summary
The hierarchy problem remains as one of the unsolved puzzles in the Standard Model (SM), i.e., the Higgs mass is sensitive to the Planck scale through quantum effects. Pseudo Nambu-Goldstone boson (PNGB) due to an accidental Z2 between the SM and its twin copy This idea is conceptually simple, it introduces many particles in the hidden sector, i.e., mirror W0, Z0, γ0, and a whole generation of chiral fermions for anomaly cancellation. Vacuum misalignment is usually realized between tuning of two independent sectors, e.g., γ can be suppressed by cancellation between fermion and gauge boson contributions in twin Higgs [30,31]. The small misalignment angle ξ comes from exactly the same Lagrangian of top partners that is responsible for cutting off the quadratic divergence in the top sector This motivates us to construct a neutral naturalness model with the SOð5Þ=SOð4Þ coset, which can accommodate small ξ without additional unknown sources that break the sh ↔ ch parity. After integrating out composite states, we recover the MNNM spectrum
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