Numerical determination of the $Λ$-parameter in SU(3) gauge theory from the twisted gradient flow coupling

We estimate the $Λ$-parameter in the $\overline{\mathrm{MS}}$ scheme for the SU(3) pure gauge theory with the twisted gradient flow method non-perturbatively. We obtain $Λ_{\overline{\mathrm{MS}}}/\sqrtσ=0.527(13)(10)$ and $r_{0}Λ_{\overline{\mathrm{MS}}}=0.605(15)(5)$ which are consistent with the known values.This demonstrates the validity of the present method.

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