The paper completes the minimal fundamental partial compositeness EFT for real and complex TC representations, finding a custodial-triplet VEV with a rho-parameter contribution in SU(5)/SO(5) and no triplet VEV in SU(4)xSU(4)/SU(4).
The Half-composite Two Higgs Doublet Model and the Relaxion
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abstract
We study a new confining gauge theory with fermions in a vectorial representation under the SM gauge group that allows for Yukawa interactions with the Higgs. If the fermion masses are smaller than the confinement scale this realizes a type I two Higgs doublet model where a composite Higgs mixes with the elementary Higgs. This class of models interpolates between an elementary and a composite Higgs and has interesting phenomenology with potentially observables effects in collider physics, EDMs and SM couplings but very weak bounds from indirect searches. The very same framework can be used to realize the cosmological relaxation of the electro-weak scale recently discussed in the literature.
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Real and Complex Fundamental Partial Compositeness
The paper completes the minimal fundamental partial compositeness EFT for real and complex TC representations, finding a custodial-triplet VEV with a rho-parameter contribution in SU(5)/SO(5) and no triplet VEV in SU(4)xSU(4)/SU(4).