Ultrarelativistic sneutrinos at the LHC and sneutrino-antisneutrino oscillation

TL;DR

This paper explores how ultrarelativistic sneutrinos at the LHC can exhibit oscillations that violate lepton number, with the oscillation probability heavily influenced by boost and travel distance, enabling detection even with tiny mass differences.

Contribution

It introduces a scenario where ultrarelativistic sneutrinos with small decay widths can produce observable oscillation signals at the LHC for very small mass splittings.

Findings

Oscillation probability depends strongly on boost factor and travel distance.

Significant signals possible for mass splitting as small as 10^{-14} GeV.

Ultrarelativistic conditions enhance detection prospects of sneutrino oscillations.

Abstract

Sneutrino-antisneutrino oscillation can be a very useful probe to look for signatures of lepton number violation ($\Delta L = 2$) at the LHC. Here, we discuss the effect of the boost factor $\gamma$ 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 $\Delta m$ as small as $10^{-14}$ GeV between the sneutrino mass eigenstates.