Search for sterile neutrinos as another research objective of ${\theta }_{13}$ experiments at reactors

Searches for mass-3 component in the electron neutrino flavor state $\sin {\theta }_{13}$ and for sterile neutrinos can be carried out in the same small mixing angle antineutrino oscillation experiment at a reactor. As an example we consider a layout, which involves several movable antineutrino spectrometers, stationed at distances 1700 m $-$ 50 m from a reactor. The experiment can scan neutrino mass parameter interval $\sim$(0.5$-$0.001) eV${}^2$ and have there typical sensitivity to ${\sin }^{2}2\theta$ at a level of 0.015$-$0.02. The signature for sterile neutrino is disappearance observed at mass parameter $\mathrm{\Delta }{m}_{new}^2$ different from ${\Delta}m^{2}{atm} \approx 2\times 10^{-3}$eV$^{2}$\mathrm{.}Inanycaseexistingconstraintsbothon$\sin{\theta}{13}$ and on sterile neutrinos can considerably be improved.