Short-range gravity experiments are more suitable for the testing of high-order Lorentzsymmetry breaking effects. In our previous work, we proposed a new experimental design based onprecision torsion balance technology to test the Lorentz violation force effect that varies inverselywith the fourth power of distance (corresponding to mass dimension d = 6 term), and the corresponding experiment is currently underway. In this paper, we focus on analyzing the potential of thisexperimental scheme to test the Lorentz violation force that varies inversely with the sixth power ofdistance (corresponding to mass dimension d = 8 term). The results show that, compared with thecurrent best limit, the new experimental scheme can improve the constraints on the Lorentz violationcoefffcients with d = 8 by at least one order of magnitude.
