Fundamental partial compositeness

Preprint number: CP3-Origins-2016-27 DNRF90
Authors: Francesco Sannino (CP3-Origins & DIAS), Alessandro Strumia (Dipartimento di Fisica di Pisa, Italy & CERN, Theory Division), Andrea Tesi (Dept. of Physics, Enrico Fermi Institute, Chicago Univ. US), and Elena Vigiani (Dipartimento di Fisica di Pisa, Italy)
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We construct renormalizable Standard Model extensions, valid up to the Planck scale,
that give a composite Higgs from a new fundamental strong force that acts on fermions and scalars.
Yukawa interactions involving Standard Model fermions and composite fermions made by the new strong force realise the partial compositeness scenario.
Successful models display `square root’ type Standard Model quantum numbers for the new degrees of freedom.
Furthermore, right-handed SM fermions have an $SU(2)_R$-like yielding a custodially-protected composite Higgs.
Baryon and lepton numbers arise, as for the Standard Model, accidentally. Standard Model fermions acquire mass at tree level, while the Higgs potential and flavor violations are generated by quantum corrections,
with a specific with a specific symmetry structure.
We further discuss accidental symmetries and other features stemming from the new strongly interacting scalars.