Quark masses and strong coupling constant in 2+1 flavor QCD

Abstract

We present a determination of the strange, charm and bottom quark masses as well as the strong coupling constant in 2+1 flavor lattice QCD simulations using highly improved staggered quark action. The ratios of the charm quark mass to the strange quark mass and the bottom quark mass to the charm quark mass are obtained from the meson masses calculated on the lattice and found to be $m_c/m_s=11.871(91)$ and $m_b/m_c=4.528(57)$ in the continuum limit. We also determine the strong coupling constant and the charm quark mass using the moments of pseudoscalar charmonium correlators: ${\alpha }_s(\mu =m_c)=0.3697(85)$ and $m_c(\mu =m_c)=1.267(12)$ GeV. Our result for ${\alpha }_s$ corresponds to the determination of the strong coupling constant at the lowest energy scale so far and is translated to the value ${\alpha }_s(\mu =M_Z,n_f=5)=0.11622(84)$.

12 pages, 11 figures

References in corpus (11)

• The equation of state in (2+1)-flavor QCD
• Highly Improved Staggered Quarks on the Lattice, with Applications to Charm Physics
• High-precision scale setting in lattice QCD
• High-precision quark masses and QCD coupling from $n_f=4$ lattice QCD
• Charmed and light pseudoscalar meson decay constants from four-flavor lattice QCD with physical light quarks
• High-Precision Charm-Quark Mass and QCD Coupling from Current-Current Correlators in Lattice and Continuum QCD
• Reconstruction of heavy quark current correlators at O(α_s^3)
• Low energy moments of heavy quark current correlators at four loops
• Up and down quark masses and corrections to Dashen's theorem from lattice QCD and quenched QED
• In-medium modifications of open and hidden strange-charm mesons from spatial correlation functions
• Moments of Heavy Quark Current Correlators at Four-Loop Order in Perturbative QCD

Cited by in corpus (27)

• FLAG Review 2019
• FLAG Review 2021
• Up-, down-, strange-, charm-, and bottom-quark masses from four-flavor lattice QCD
• Snowmass 2021 whitepaper: Proton structure at the precision frontier
• FLAG Review 2024
• Color screening in (2+1)-flavor QCD
• QCD Running Couplings and Effective Charges
• Determination of the QCD coupling from the static energy and the free energy
• Determination of quark masses from ${\mathbf{n}}_{\mathbf{f}}=4$ lattice QCD and the RI-SMOM intermediate scheme
• Strong coupling constant and heavy quark masses in 2+1 flavor QCD
• Running coupling constant from position-space current-current correlation functions in three-flavor lattice QCD
• Determination of the quark condensate from heavy-light current-current correlators in full lattice QCD
• Strong coupling constant from moments of quarkonium correlators revisited
• Lattice determinations of the strong coupling
• Strong coupling constant and quark masses from lattice QCD
• Light quark masses in N_f = 2+1 lattice QCD with Wilson fermions
• Heavy quarkonia properties from a hard-wall confinement potential model with conformal symmetry perturbing effects
• Charm Quark Mass with Calibrated Uncertainty
• Precise determination of ${\alpha }_s$ from relativistic quarkonium sum rules
• Precise ${\alpha }_s$ determination from charmonium sum rules
• Determination of the charm quark mass in lattice QCD with $2+1$ flavours on fine lattices
• Hints and challenges in heavy flavor physics
• Extended soft wall model with background related to features of QCD thermodynamics
• Gluons in charmoniumlike states
• Spectroscopy and Annihilation Decay Widths of Charmonium and Bottomonium Excitations
• Small-momentum expansion of heavy-quark correlators in the large-${\beta }_0$ limit and ${\alpha }_s$ extractions
• Renormalization Group Improvement and QCD Sum Rules