Setting bounds on the sterile parameters at low energy neutrino factory

After LSND results sterile neutrinos have drawn attention and motivated the high energy physics, astronomy, cosmology stream to probe physics beyond standard model considering minimal 3+1 scheme (3 active and 1 sterile) to 3+N scheme. While developing the analytical probability expression for 3+1 framework, perturbative expansion approach is taken into consideration in the light of the current value of ϴ₁₃. Expansion is truncated after the second order of perturbation. We are using low energy neutrino factory with TASD and Liquid Argon detector to put more stringent bound on the sterile mixing parameters. From the analytical expressions for flavor conversion probability the effect of the sterile parameters (ϴ₁₄, ϴ₂₄, ϴ₃₄, Δm²₄₁) can be observed. We observe the asymmetry factor for different appearance and disappearance channel. Asymmetry is observed by giving permissible values of sterile parameters. Further we check χ² contribution at asymmetry level by marginalizing over sterile as well as active neutrino parameters. From marginalized χ² and Δm²₄₁ plot we put bounds on sterile mass. (author)