Composite Higgs models, together with partial compositeness, predict the existence of new scalars and vector-like quarks (partners) at above TeV scale. Generically, presence these additional opens up decay topologies for partners. In this paper we show how to systematically construct general low energy Lagrangian capture feature. We emphasize specific pattern in top-partner spectrum arising cla...

A bstract We study the bilinear and higher-order fermion condensates in 4-dimensional SU( N ) gauge theories with a single Dirac general representation. Augmented mixed anomaly between 0-form discrete chiral, 1-form center, baryon number symmetries (BC anomaly), we sort out that admit vanishing bilinears. Then, BC is utilized to prove, absence of topological quantum field theory, nonvanishing b...