Abstract
We study electroweak symmetry breaking in minimal composite Higgs models $SU(4)/Sp(4)$ with purely fermionic UV completions based on a confining Hypercolor gauge group and find that the extra Higgs potential from the underlying preon mass can destruct the correlation between the mass of Higgs and composite partners. Thus the composite partners can be very heavy for successful electroweak symmetry breaking without enhancing the separation between the new physical scale and Higgs VEV. So this kind of model can be easily realized by ordinary strong dynamics theories without artificial assumptions and more likely consistent with lattice simulations. The UV completion of partial compositeness predicts a light singlet Goldstone boson which interacts with QCD and electroweak gauge bosons through Wess-Zumino-Witten terms. It can be produced through gluon fusion at LHC and decay into gauge boson pairs. We briefly discuss its phenomenology and derive its bounds from LHC searches.
Highlights
The naturalness of the Higgs potential is one of the most profound problems in particle physics
We study electroweak symmetry breaking in minimal composite Higgs models SUð4Þ=Spð4Þ with purely fermionic UV completions based on a confining hypercolor gauge group and find that the extra Higgs potential from the underlying preon mass can destruct the correlation between the mass of Higgs and composite partners
We studied the minimal composite Higgs model SUð4Þ=Spð4Þ with purely fermionic UV completions based on a confining hypercolor gauge group GHC
Summary
The naturalness of the Higgs potential is one of the most profound problems in particle physics. The correlation between the mass of Higgs and composite partners is lost (Higgs mass is only related to the scale difference between the partners of top and electroweak gauge bosons); we can get heavy composite partners (they can be as heavy as the confinement scale ∼4πf at the cost of more fine-tuning) and light Higgs without enhancing the separation between the Higgs vacuum expectation value (VEV) and scale f These kinds of CHMs with heavy fermionic and vector resonances can be realized by ordinary strong dynamic theories, such as GHC 1⁄4 Spð2NHCÞ with 2NHC ≤ 36 [15], and consistent with lattice simulations, unlike ordinary CHMs. Besides the extra single scalar η in the EWSB sector, which is extensively discussed [23,24,25], this model predicts another singlet PNGB σ associated with Uð1Þσ global symmetry [26], which is the subgroup of Uð1ÞQ and Uð1Þχ (overall phase of preon Q and χ). The Appendixes contain details about top partner multiplets, the form factors in the effective Lagrangian, descriptions of the gauge sector, and the mass of QCD neutral and QCD colored PNGBs
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