A strong first-order electroweak phase transition is impossible in SO(6)/SO(5) composite Higgs models under the minimal Higgs potential hypothesis, and requires undetermined UV operator contributions, as shown in a 6+6 benchmark with LISA-detectable gravitational waves.
Electroweak symmetry breaking and collider signatures in the next-to-minimal composite Higgs model
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abstract
We conduct a detailed numerical analysis of the composite pseudo-Nambu-Goldstone Higgs model based on the next-to-minimal coset $\text{SO}(6)/\text{SO}(5)\cong\text{SU}(4)/\text{Sp}(4)$, featuring an additional SM singlet scalar in the spectrum, which we allow to mix with the Higgs boson. We identify regions in parameter space compatible with all current experimental constraints, including radiative electroweak symmetry breaking, flavour physics, and direct searches at colliders. We find the additional scalar, with a mass predicted to be below a TeV, to be virtually unconstrained by current LHC data, but potentially in reach of run 2 searches. Promising indirect searches include rare semi-leptonic $B$ decays, CP violation in $B_s$ mixing, and the electric dipole moment of the neutron.
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Electroweak phase transition with composite Higgs models: calculability, gravitational waves and collider searches
A strong first-order electroweak phase transition is impossible in SO(6)/SO(5) composite Higgs models under the minimal Higgs potential hypothesis, and requires undetermined UV operator contributions, as shown in a 6+6 benchmark with LISA-detectable gravitational waves.