Quark masses using twisted mass fermion gauge ensembles

Abstract

We present a calculation of the up, down, strange and charm quark masses performed within the lattice QCD framework. We use the twisted mass fermion action and carry out simulations that include in the sea two light mass-degenerate quarks, as well as the strange and charm quarks. In the analysis we use gauge ensembles simulated at three values of the lattice spacing and with light quarks that correspond to pion masses in the range from 350 MeV to the physical value, while the strange and charm quark masses are tuned approximately to their physical values. We use several quantities to set the scale in order to check for finite lattice spacing effects and in the continuum limit we get compatible results. The quark mass renormalization is carried out non-perturbatively using the RI'-MOM method converted into the $\overline{\mathrm{MS}}$ scheme. For the determination of the quark masses we use physical observables from both the meson and the baryon sectors, obtaining $m_{ud}=3.636(66){(}_{-57}^{+60})$~MeV and $m_s=98.7(2.4){(}_{-3.2}^{+4.0})$~MeV in the $\overline{\mathrm{MS}}(2\mathrm{GeV})$ scheme and $m_c=1036(17){(}_{-8}^{+15})$~MeV in the $\overline{\mathrm{MS}}(3\mathrm{GeV})$ scheme, where the first errors are statistical and the second ones are combinations of systematic errors. For the quark mass ratios we get $m_s/m_{ud}=27.17(32){(}_{-38}^{+56})$ and $m_c/m_s=11.48(12){(}_{-19}^{+25})$.

arXiv comment37 pages, 23 figures, 24 tables. One reference added

References in corpus (32)

• Is there still any Tc mystery in lattice QCD? Results with physical masses in the continuum limit III
• Properties and uses of the Wilson flow in lattice QCD
• FLAG Review 2019
• A General Method for Non-Perturbative Renormalization of Lattice Operators
• Ab initio calculation of the neutron-proton mass difference
• Chirally improving Wilson fermions - I. O(a) improvement
• On the generalized eigenvalue method for energies and matrix elements in lattice field theory
• $B$- and $D$-meson leptonic decay constants from four-flavor lattice QCD
• Light hadrons from lattice QCD with light (u,d), strange and charm dynamical quarks
• Renormalization and Running of Quark Mass and Field in the Regularization Invariant and MS-bar Schemes at Three and Four Loops
• Chirally improving Wilson fermions II. Four-quark operators
• Dynamical Twisted Mass Fermions with Light Quarks: Simulation and Analysis Details
• Measurement of the Weak Axial-Vector Coupling Constant in the Decay of Free Neutrons Using a Pulsed Cold Neutron Beam
• Up, down, strange and charm quark masses with Nf = 2+1+1 twisted mass lattice QCD
• High-precision quark masses and QCD coupling from $n_f=4$ lattice QCD
• Baryon spectrum with $N_f=2+1+1$ twisted mass fermions
• Twisted-mass lattice QCD with mass non-degenerate quarks
• Charmed and light pseudoscalar meson decay constants from four-flavor lattice QCD with physical light quarks
• Gauge-Invariant Smearing and Matrix Correlators using Wilson Fermions at beta=6.2
• Enhanced chiral logarithms in partially quenched QCD
• Up-, down-, strange-, charm-, and bottom-quark masses from four-flavor lattice QCD
• Non-perturbative renormalization of quark bilinear operators with Nf=2 (tmQCD) Wilson fermions and the tree-level improved gauge action
• Simulating twisted mass fermions at physical light, strange and charm quark masses
• First Physics Results at the Physical Pion Mass from $N_f=2$ Wilson Twisted Mass Fermions at Maximal Twist
• Low-lying baryon masses using $N_f=2$ twisted mass clover-improved fermions directly at the physical point
• Reducing cutoff effects in maximally twisted lattice QCD close to the chiral limit
• Computing K and D meson masses with N_f = 2+1+1 twisted mass lattice QCD
• Renormalization functions for Nf=2 and Nf=4 Twisted Mass fermions
• Hyperons in Two Flavor Chiral Perturbation Theory
• Renormalization of local quark-bilinear operators for Nf=3 flavors of SLiNC fermions
• Determination of quark masses from ${\mathbf{n}}_{\mathbf{f}}=4$ lattice QCD and the RI-SMOM intermediate scheme
• Nucleon-pion-state contribution to nucleon two-point correlation functions

Cited by in corpus (9)

• FLAG Review 2021
• Lattice calculation of the short and intermediate time-distance hadronic vacuum polarization contributions to the muon magnetic moment using twisted-mass fermions
• Flavor decomposition of the nucleon unpolarized, helicity and transversity parton distribution functions from lattice QCD simulations
• First moments of the nucleon transverse quark spin densities using lattice QCD
• Parton distribution functions beyond leading twist from lattice QCD: The $h_L(x)$ case
• The scalar, vector and tensor form factors for the pion and kaon from lattice QCD
• The $\eta \to {\gamma }^{\ast }{\gamma }^{\ast }$ transition form factor and the hadronic light-by-light $\eta$-pole contribution to the muon $g-2$ from lattice QCD
• Lattice calculation of the pion mass difference $M_{{\pi }^{+}}-M_{{\pi }^0}$ at order $\mathcal{O}({\alpha }_{em})$
• QCD transition at the physical point, and its scaling window from twisted mass Wilson fermions