Matching the Bare and MSbar Charm Quark Masses Using Weak Coupling Simulations

Understand

We provide a new determination of the charm quark mass using the Highly Improved Staggered Quark (HISQ) action, finding m_c(3 GeV) = 0.983(23) GeV.

• Our determination makes extensive use of second order lattice perturbation theory in matching the bare lattice mass to the MSbar scheme.
• This matching utilises both traditional diagrammatic perturbation theory and weak coupling simulations.
• The second of these techniques allows us to extract perturbative coefficients from Monte-Carlo simulations and the process of doing this is laid out in some detail here.