Numerical determination of the $\mathrm{\Lambda }$-parameter in SU(3) gauge theory from the twisted gradient flow coupling

We estimate the $\mathrm{\Lambda }$-parameter in the $\overline{\mathrm{M}\mathrm{S}}$ scheme for the SU(3) pure gauge theory with the twisted gradient flow method non-perturbatively. We obtain ${\mathrm{\Lambda }}_{\overline{\mathrm{M}\mathrm{S}}}\mathrm{/}\sqrt{\sigma }=0.527(13)(10)$ and $r_0{\mathrm{\Lambda }}_{\overline{\mathrm{M}\mathrm{S}}}=0.605(15)(5)$ which are consistent with the known values.This demonstrates the validity of the present method.