Abstract
We complete the analysis of the effective field theory at the electroweak scale for minimal models of fundamental partial compositeness. Specifically, we consider fermions in the complex and real representation of the gauge group underlying the composite Higgs dynamics, since the pseudo real representation was investigated earlier. The minimal models feature the cosets SU(4)×SU(4)/SU(4)D and SU(5)/SO(5) respectively for the complex and real representations. We determine the vacuum alignment, the electroweak precision constraints as well as additional collider constraints. We finally discuss the main differences among the different models of minimal partial compositeness.
Highlights
The existence of a new, strongly-interacting dynamics around — or just above — the electroweak (EW) scale, has been invoked as a simple way to address the hierarchy problem of the Standard Model (SM) [1, 2]
The dilatonic-like composite Higgs is expected to emerge near a quantum phase transition1 [4], typically required for walking dynamics while the composite Goldstone Higgs (CH) arises from the dynamical breaking of a fundamental fermionic symmetry
We show that the effects of the triplet vacuum expectation value (VEV) occur at the order O(p4) in the chiral expansion and there could be an unforeseen cancellation emerging once the coefficients of these operators will be fully determined from the fundamental theory
Summary
One long-standing problem is the possibility of generating sufficiently large composite fermion anomalous dimensions required to yield the correct top mass and to be larger than the fermion bilinear itself This is not possible to achieve within calculable IRFP theories [12]. It is reasonable and timely to explore composite frameworks in which, while still insisting on the composite nature of the Higgs sector and fermion mass generation, one puts aside (postpone) the naturalness argument This frees us to consider wider classes of composite theories featuring, for example, TC gauge scalars. We analyse the minimal cases for each class, namely the SU(5)/SO(5) coset for the real case, and SU(4) × SU(4)/SU(4) coset for the complex one As these models feature SU(2)L/R-triplet pNGBs, it is necessary to consider whether they acquire a vacuum expectation value (VEV). In the appendix we classify the various effective operators emerging at different orders in their mass dimension
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