Ultrarelativistic sneutrinos at the LHC and sneutrino-antisneutrino oscillation

Abstract

Sneutrino-antisneutrino oscillation can be a very useful probe to look for signatures of lepton number violation ($ΔL = 2$) at the LHC. Here, we discuss the effect of the boost factor $γ$ and the travelling distance $L$ on the probability of the oscillation. We demonstrate that these two parameters can significantly alter the probability of the oscillation when the sneutrinos are ultrarelativistic and have a very small total decay width. We propose a scenario where these requirements are fulfilled and which produces interesting signals at the LHC even for a mass splitting $Δm$ as small as $10^{-14}$ GeV between the sneutrino mass eigenstates.

5 pages, 2 eps figures, REVTeX 4; v2: One mistake corrected in the numerical computation and discussion clarified. Matches the version in PRD