Phenomenology at the LHC of composite boson leptoquarks from strongly interacting standard model fermions via four-fermion operators of NJL type.

Four-fermion operators of the Nambu--Jona-Lasinio (NJL) type have a strong coupling UV fixed point at TeV scale, where two SM elementary fermions form a bound state of composite boson leptoquark (LQ) and they couple to their constituents via effective contact interactions at composite scale $\Lambda \approx \mathcal{O}$ TeV. We present a phenomenological analysis to explore LQs at LHC by computing the production cross-sections of LQs in the context of relevant experiments at the LHC with $pp$ and $ap$ collision. In $ap$ collision, photons can be elastic or inelastic. Also, there could be a possibility of producing leptons from protons, it is possible to target these processes at the LHC as well. We have made a comparison of LQ's production with the above-mentioned mechanisms. For sensitivity studies, we produced signals for the first two generation LQs via Madgraph. Parton showering and detector simulations are being implemented via pythia8 and Delphes. The region of parameter space is explored where this composite LQ can appear using different choices of luminosity, also expected by the High-Luminosity LHC, computing 3 and $5 \sigma$ contour plots of its statistical significance.