Towards a fundamental safe theory of composite Higgs and dark matter

Abstract

We present a novel paradigm that allows to define a composite theory at the electroweak scale that is well defined all the way up to any energy by means of safety in the UV. The theory flows from a complete UV fixed point to an IR fixed point for the strong dynamics (which gives the desired walking) before generating a mass gap at the TeV scale. We discuss two models featuring a composite Higgs, Dark Matter and partial compositeness for all SM fermions. The UV theories can also be embedded in a Pati–Salam partial unification, thus removing the instability generated by the $$\text{ U }(1)$$ U ( 1 ) running. Finally, we find a Dark Matter candidate still allowed at masses of 260 GeV, or 1.5–2 TeV, where the latter mass range will be covered by next generation direct detection experiments.

Electroweak baryogenesis and gravitational waves in a composite Higgs model with high dimensional fermion representations

“…The possible decay channels of η are model-dependent, including the SM di-boson (induced by the WZW anomaly [19]) and di-jet (gluon or quark). The η can even be a dark matter candidate if it has an odd Z 2 quantum number [37,[50][51][52]. Note that although our potential V (h, η) and the third generation fermion couplings are both symmetric under η → −η, a Z 2 -breaking term can generally arise from the WZW anomaly or the fermion embeddings of quarks in the first two generations or leptons.…”

Large $$N_\mathrm{f}$$ for multiple representations

“…The latter was already in question due to the fact that the mass anomalous dimension diverges near the pole [10]. Our results are also relevant to understand the dynamical properties of some class of models, like gauge theories with a large number of chiral families, and composite Higgs models with top partial compositeness [30].…”

“…This phenomenon has been applied in various contexts, from attempts to define a safe Standard Model [20][21][22][23][24][25], to grand unification [26,27], dark matter [28,29] and a variety of new physics scenarios [30][31][32]. In composite Higgs models with fermion partial compositeness [30], two irreps are needed to form spin-1/2 bound states that couple to the elementary quark and lepton fields. In general, the phenomenologically relevant application of theories with a UV fixed point consist in UV completions of the standard model, avoiding issues like vacuum stability and Landau poles.…”

Supercool Composite Dark Matter Beyond 100 TeV

“…In that case we fix c t = 0 [83], while keeping c b = 1/2. 7 Many other examples have been studied in the literature, e.g SO(6)/SO(5) [88][89][90][91], SO(7) → G2 in [92], SU (4) 2 /SU (4) in [93], SU (4)/Sp(4), SU (5)/SO (5) and SU (4) 2 /SU (4) in [94], SU (3)/SU (2)×U (1) and SU (2) 2 × U (1)/SU (2) × U (1) in [95], SO(6)/SO (5), SO(7)/SO (6), SO(7)/G2, SO(5) × U (1)/SO(4) and SO(6)/SO(4) in [90], little Higgs SU (5)/SO (5) in [96], SU (4) × SU (2) × U (1)/Sp(4) × U (1) × Z2 in [97], SU (6)/SO (6) in [98], two-Higgs doublet models SO(6)/SO(4) × SO(2) in [88,[99][100][101] or SO(7)/SO(5) × SO(2) in [102]. We refer to [103] for a review on existing composite Higgs models.…”