Speaker
Dr
Yu Maezawa
(YITP, Kyoto University)
Description
We present new results on the charm and bottom quark masses as well as the strong coupling constant in 2+1-flavor QCD
using Highly Improved Staggered Quark action and gauge configurations generated by HotQCD Collaboration.
Our approach is based on calculating the moments of meson correlators and we use a wide range of lattice spacing up to $a^{-1} \sim 4.9$ GeV in our study.
The ratios of quark masses $m_c/m_s$ and $m_b/m_c$ are obtained from the combinations of the pseudo-scalar and vector meson masses and found to be $m_c/m_s=11.871(96)$ and $m_b/m_c=4.528(57)$ in the continuum limit.
The lattice results of the hyper-fine splitting of the charmonium can reproduce the experimental value in the continuum.
We also perform the determination of the strong coupling constant in the $\overline{\rm MS}$ scheme from the moments of pseudo-scalar charmonium correlators and find $\alpha_s(\mu=m_c)=0.3697(56)$, which is the determination of $\alpha_s$
at lowest energy scale so far.
For the charm quark mass we obtain $m_c(\mu=m_c)=1.2668(10)$ GeV.
Primary author
Dr
Yu Maezawa
(YITP, Kyoto University)
Co-author
Dr
Peter Petreczky
(Brookhaven National Laboratory)
