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A new physics scenario shows that four-fermion operators ofNambu-Jona-Lasinio (NJL) type have a strong-coupling UV fixed point, wherecomposite fermions $F$ (bosons $\Pi$) form as bound states of three (two) SMelementary fermions and they couple to their constituents via effective contactinteractions at the composite scale $\Lambda \approx {\cal O} $(TeV). Wepresent a phenomenological study to investigate such composite particles at theLHC by computing the production cross sections and decay widths of compositefermions in the context of the relevant experiments at the LHC with $pp$collisions at $\sqrt{s}={\rm 13}$ TeV and $\sqrt{s}={\rm 14}$ TeV.Systematically examining all the different composite particles $F$ and thesignatures with which they can manifest, we found a vast spectrum of compositeparticles $F$ that has not yet been explored at the LHC. Recasting the recentCMS results of the resonant channel $pp\rightarrow e^+F \rightarrow e^+e^-q\bar{q}'$, we find that the composite fermion mass $m_F$ below 4.25 TeV isexcluded for $\Lambda$/$m_F$ = 1. We further highlight the region of parameterspace where this specific composite particle $F$ can appear using 3 ab$^{-1}$,expected by the High-Luminosity LHC, computing 3 and 5 $\sigma$ contour plotsof its statistical significance.

Phenomenology at the LHC of composite particles from strongly interacting Standard Model fermions via four-fermion operators of NJL type