Chiral symmetry breaking in fundamental and sextet fermion representations of SU(3) color

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We report new results for lattice gauge theories with twelve fermion flavors in the fundamental representation and two fermion flavors in the two-index symmetric (sextet) representation of the SU(3) color gauge group.

• Both models are important in searching for a viable composite Higgs mechanism in the Beyond the Standard Model (BSM) paradigm.
• We subject both models to opposite hypotheses inside and outside of the conformal window.
• In the first hypothesis we test chiral symmetry breaking ($\chi{\rm SB}$) with its Goldstone spectrum, $F_\pi$, the $\chi{\rm SB}$ condensate, and several composite hadron states as the fermion mass is varied in a limited range with our best effort to control finite volume effects.