### Speaker

Mr
Ryoichiro Ueno
(Graduate School of Science, Hiroshima University)

### Description

We calculate the $\Lambda$-parameter in $\overline{\mathrm{MS}}$ scheme for SU(3) pure gauge theory with the twisted gradient flow method non-perturbatively. Using the Schrödinger functional scheme as an intermediate scheme, we numerically evaluate the $\Lambda$-parameter ratio $\frac{\Lambda_{\overline{\mathrm{MS}}}}{\Lambda_{\mathrm{TGF}}}=\frac{\Lambda_{\overline{\mathrm{MS}}}}{\Lambda_{\mathrm{SF}}}\cdot\frac{\Lambda_{\mathrm{SF}}}{\Lambda_{\mathrm{TGF}}}$. We also estimate $\Lambda_{\mathrm{TGF}}/\sqrt{\sigma}$ and $r_{0}\Lambda_{\mathrm{TGF}}$ from $a\sqrt{\sigma}$ and $a/r_{0}$ available in the literature. Our final values $\Lambda_{\overline{\mathrm{MS}}}/\sqrt{\sigma}$ and $r_{0}\Lambda_{\overline{\mathrm{MS}}}$ are consistent with the known results, which demonstrates the validity of the present method.

### Primary authors

Ms
Ayaka Nakamura
(Graduate School of Science, Hiroshima University)
Dr
Issaku Kanamori
(Graduate School of Science, Hiroshima University)
Prof.
Ken-Ichi Ishikawa
(Graduate School of Science, Hiroshima University)
Prof.
Masanori Okawa
(Graduate School of Science, Hiroshima University)
Mr
Ryoichiro Ueno
(Graduate School of Science, Hiroshima University)
Ms
Yuko Murakami
(Graduate School of Science, Hiroshima University)