QCD Lambda Parameter from Gradient Flow

Starting from the running coupling in the gradient flow scheme, the QCD Lambda parameter ${\mathrm{\Lambda }}_{\overline{\text{\hspace{0.17em}⁣}\mathrm{M}\mathrm{S}\text{\hspace{0.17em}⁣}}}$ is determined analytically with respect to the reference scale $w_0$ in the pure gauge theory. A key element is the gluon condensate, which, being invariant under RG transformations, establishes a formal relationship between ${\mathrm{\Lambda }}_{\overline{\text{\hspace{0.17em}⁣}\mathrm{M}\mathrm{S}\text{\hspace{0.17em}⁣}}}$ and $w_0$. Good agreement with numerical estimates is found.