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

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

25 Jul 2016, 18:05

20m

Building 67 Room 1007 (Highfield Campus, University of Southampton)

Talk Standard Model Parameters and Renormalization 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.

Presentation materials

Slides

Lattice2016_4_ueno.pdf