# The 34th International Symposium on Lattice Field Theory (Lattice 2016)

Jul 24 – 30, 2016
Highfield Campus, University of Southampton
Europe/London timezone

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

Jul 25, 2016, 6:05 PM
20m
Building 67 Room 1007 (Highfield Campus, University of Southampton)

### Building 67 Room 1007

#### Highfield Campus, University of Southampton

Talk Standard Model Parameters and Renormalization

### 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)

 Slides