Search for excited spin-3/2 neutrinos at LHeC

TL;DR

This paper investigates the potential of the future LHeC collider to detect excited spin-1/2 and spin-3/2 neutrinos by calculating production cross sections, analyzing decay modes, and establishing sensitivity limits for their couplings.

Contribution

It introduces a detailed analysis of excited neutrino production at LHeC, including cross section calculations, decay channel analysis, and coupling sensitivity projections for both spin states.

Findings

Potential to detect excited neutrinos at LHeC energies

Derived coupling limits based on invariant mass distributions

Provided contour plots for coupling sensitivities

Abstract

We study the potential of the next $ep$ collider, namely LHeC, with two options $\sqrt{s}=1.3$ TeV $\sqrt{s}=1.98$ TeV, to search for excited spin-1/2 and spin-3/2 neutrinos. We calculate the single production cross section of excited spin-1/2 and spin-3/2 neutrinos according to their effective currents describing their interactions between gauge bosons and SM leptons. We choose the $\nu^{\star}\rightarrow eW$ decay mode of excited neutrinos and $W\rightarrow jj$ decay mode of $W$-boson for the analysis. We put some kinematical cuts for the final state detectable particles and plot the invariant mass distributions for signal and the corresponding backgrounds. In order to obtain accessible limits for excited neutrino couplings, we show the $f-f^{\prime}$ and $c_{iV}-c_{iA}$ contour plots for excited spin-1/2 and excited spin-3/2 neutrinos, respectively.