We study the neutralinos and sleptons in multilepton final states at the LHC in light of $(g-2{)}_{\mu }$ anomaly. We scan the minimal supersymmetric standard model parameters relevant to $(g-2{)}_{\mu }$ and focus on three distinct cases with different neutralino compositions. The explanation of $(g-2{)}_{\mu }$ excess at $2\sigma$ range requires the smuon (${\tilde{\mu }}_1$) to be lighter than $\sim 500(1000)\mathrm{GeV}$ for $\tan \beta =10(50)$. Correspondingly the two lightest neutralinos, ${\tilde{\chi }}_1^0$, ${\tilde{\chi }}_2^0$, have to be lighter than $\sim 300(650)\mathrm{GeV}$ and 900 (1500) GeV, respectively. We explore the prospects of searching these light neutralinos and smuons at the LHC. The upcoming run of the LHC will be able to set 95% CL exclusion limit on $M_{{\tilde{\chi }}_2^0}$ ($\sim 650-1300\mathrm{GeV}$) and $m_{\tilde{l}}$ ($\sim 670-775\mathrm{GeV}$) with $M_{{\tilde{\chi }}_1^0}\sim 100-250\mathrm{GeV}$ at $3000{\mathrm{fb}}^{-1}$ integrated luminosity in $\text{multilepton}+{\cancel{E}}_T$ channel.

• Received 16 June 2015

DOI:https://doi.org/10.1103/PhysRevD.92.075033