Study of the slepton nonuniversality at the CERN Large Hadron Collider

In supersymmetric theory, the sfermion-fermion-gaugino interactions convert a sfermion into a fermion in the same chiral multiplet. The effect appears as the asymmetry between $m(j{l}^{+})$ and $m(j{l}^{-})$ distributions at the CERN Large Hadron Collider where jets ($j$) and leptons ($l^{\pm }$) arise from the cascade decay $\tilde{q}\to q{\tilde{\chi }}_2^0\to ql\tilde{l}$. Furthermore, the decay branching ratios and the charge asymmetries in $m(j{l}^{\pm })$ distributions are flavor nonuniversal due to the ${\tilde{l}}_L$ and ${\tilde{l}}_R$ mixing. When $\tan \beta$ is large, the nonuniversality between $e$ and $\mu$ becomes $O(10)\%$ level. We perform a Monte Carlo simulation for some minimal supergravity benchmark points to demonstrate the detectablity.