Examining the sensitivity of FASER to Generalized Neutrino Interactions

We investigate the sensitivity of the FASER$\nu$ detector, a novel experimental setup at the LHC, to probe and constrain generalized neutrino interactions (GNI). Employing a comprehensive theoretical framework, we model the effects of generalized neutrino interactions on neutrino-nucleon deep inelastic scattering processes within the FASER$\nu$ detector. By considering all the neutrino channels produced at the LHC, we perform a statistical analysis to determine the sensitivity of FASER$\nu$ to constrain these interactions. Our results demonstrate that FASER$\nu$ can place stringent constraints on the GNI effective couplings. Additionally, we study the relation between GNI and a minimal Leptoquark model where the SM is augmented by a singlet Leptoquark with hypercharge $1/3$. We have found that the sensitivities for various combinations of the Leptoquark Yukawa couplings are approximately $\mathcal{O}(1)$, particularly when considering a Leptoquark mass in the TeV range.