UV-complete composite Higgs models

Abstract

We study confining gauge theories with fermions vectorial under the SM that produce a Higgs doublet as a Nambu-Goldstone boson. The vacuum misalignment required to break the electro-weak symmetry is induced by an elementary Higgs doublet with Yukawa couplings to the new fermions. The physical Higgs is a linear combination of elementary and composite Higgses while the SM fermions remain elementary. The full theory is renormalizable and the SM Yukawa couplings are generated from the ones of the elementary Higgs allowing to eliminate all flavour problems but with interesting effects for Electric Dipole Moments of SM particles. We also discuss how ideas on the relaxation of the electro-weak scale could be realised within this framework. 1 arXiv:1609.07122v2 [hep-ph]

B-physics anomalies: a guide to combined explanations

“…Such models have been widely studied in the literature and offer a very rich phenomenology (see e.g refs. [59][60][61][62][63][64][65][66][67][68] and references therein). Since G EW is necessarily also a global symmetry of the strong sector, the conserved current associated to it can excite composite vector resonances with the quantum numbers of the W and B mediators.…”

Symmetry restoration at high-temperature in two-color and two-flavor lattice gauge theories

“…The model has received some attention in a third context [14][15][16][17][18][19][20][21][22][23][24][25][26][27], as a concrete realization of the idea of Higgs compositeness [28]. This is a quite distinct framework in respect to traditional TC.…”

“…where the summations over flavor index i = 1, 2 and color index a = 1, 2 are understood, and where the field-strength tensors are defined in terms of the gauge bosons as We collect in appendix A and B several useful relations between 2-component spinors q and 4-component spinors Q, as well as details about the algebra of SU(4) and Sp(4) (see also [14][15][16][17][18][19][20][21][22][23][24][25][26][27]). The global symmetry acting on the matter fields is U(1) A × SU(4), and we explicitly list the transformation properties of the fields in table 1.…”

Coset cosmology

“…In models where the new constituent fermions Q have Yukawa couplings QQH, the pseudo-Goldstone bosons include a scalar π 2 with the same quantum numbers as the Higgs. The light Higgs doublet is in general a linear combination of H and π 2 [39][40][41]. If the mixing is large, it has a phenomenology similar to a composite Higgs.…”