Neutral Exotica at FASER$\nu$ and SND@LHC

Abstract

The $(g-2{)}_{\mu }$ anomaly indicates that the second generation of leptons should have new interactions beyond the standard model. The high flux of ${\nu }_{\mu }$ and ${\bar{\nu }}_{\mu }$ at the forward experiments such as FASER$\nu$ and SND@LHC makes them suitable setups to search for new interactions of the second generation leptons. In this paper, we build a model in which the second generation left-handed leptons couple to a new right-handed neutrino, $N$ and a new Higgs doublet which also couples to the quarks. The scattering of high energy ${\nu }_{\mu }$ off nuclei can produce $N$. We investigate how forward experiments can test this model by looking for the $N$ production vertex followed by the displaced vertex of the $N$ decay. Discovering even a single such event can be a harbinger to look for the spectacular signals of the new Higgs doublet production at the LHC. We discuss the possibility of explaining the $(g-2{)}_{\mu }$ anomaly by adding more generations of $N$ which will lead to chain decays of $N$ and multiple leptons with distinct signals both at forward experiments and at the CMS and ATLAS detectors. Finally, we show that by adding a new light singlet scalar mixed with the neutral component of the new Higgs doublet ({\it i.e.,} 2HDM+$S$ model), the statistics of the data sample can be dramatically increased.

Comments: 19 pages, 6 figures, Accepted for publication in JHEP