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

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

## Determination of charm quark mass from temporal moments of charmonium correlator with Mobius domain-wall fermion

Jul 26, 2016, 3:00 PM
20m
Building 67 Room 1007 (Highfield Campus, University of Southampton)

### Building 67 Room 1007

#### Highfield Campus, University of Southampton

Highfield Campus, Southampton SO17 1BJ, UK
Talk Standard Model Parameters and Renormalization

### Speaker

Katsumasa Nakayama (Nagoya University)

### Description

We extract the charm quark mass and the strong coupling constant by using the charmonium current correlators with $n_f$ = 2 + 1 Mobius domain wall fermions. The temporal moments of the correlators are sensitive to short-distance physics, and could be also calculated in the continuum theory by perturbative expansion, which is known up to four- loop order.We match our lattice calculation with perturbative result, and extract the charm quark mass with the uncertainty less than 1%. We also confirm the correlators in the vector channel to be consistent with experimental data for R-ratio. We used the ensembles by the JLQCD collaboration at lattice spacings a = 0.083 fm, 0.055 fm and 0.044 fm, are extrapolated to the continuum limit.

### Primary author

Katsumasa Nakayama (Nagoya University)

 Slides