Slepton mass-splittings as a signal of LFV at the LHC

TL;DR

Precise measurements of slepton mass-splittings at the LHC can reveal supersymmetric lepton flavour violation, especially involving tau-muon transitions, and are complemented by low-energy LFV process observations.

Contribution

This work highlights the sensitivity of slepton mass-splittings to LFV effects and emphasizes the synergy between high-energy collider data and low-energy experiments for SUSY flavour sector reconstruction.

Findings

Slepton mass-splittings are sensitive to LFV involving tau and muon.

LFV processes like neutralino decay and tau to mu gamma are interconnected.

High-precision measurements at the LHC and low-energy experiments complement each other.

Abstract

Precise measurements of slepton mass-splittings might represent a powerful tool to probe supersymmetric (SUSY) lepton flavour violation (LFV) at the LHC. We point out that mass-splittings of the first two generations of sleptons are especially sensitive to LFV effects involving $\tau-\mu$ transitions. If these mass-splittings are LFV induced, high-energy LFV processes like the neutralino decay ${\nt}_2\to\nt_1\tau^{\pm}\mu^{\mp}$ as well as low-energy LFV processes like $\tau\to\mu\gamma$ are unavoidable. We show that precise slepton mass-splitting measurements and LFV processes both at the high- and low-energy scales are highly complementary in the attempt to (partially) reconstruct the flavour sector of the SUSY model at work. The present study represents another proof of the synergy and interplay existing between the LHC, i.e. the {\em high-energy frontier}, and high-precision low-energy experiments, i.e. the {\em high-intensity frontier}.