Determination of Low-Energy Constants of Wilson Chiral Perturbation Theory

Abstract

By matching Wilson twisted mass lattice QCD determinations of pseudoscalar meson masses to Wilson Chiral Perturbation Theory we determine the low-energy constants $W_6^{\prime }$, $W_8^{\prime }$ and their linear combination $c_2$. We explore the dependence of these low-energy constants on the choice of the lattice action and on the number of dynamical flavours.

25 pages, 10 figures

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Cited by in corpus (19)

• FLAG Review 2019
• Up, down, strange and charm quark masses with Nf = 2+1+1 twisted mass lattice QCD
• 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
• Lattice simulations with $N_f=2+1$ improved Wilson fermions at a fixed strange quark mass
• On chiral extrapolations of charmed meson masses and coupled-channel reaction dynamics
• The scalar pion form factor in two-flavor lattice QCD
• Hadron-Hadron Interactions from $N_f=2+1+1$ Lattice QCD: The $\rho$-resonance
• Spectral Properties of the Wilson Dirac Operator and random matrix theory
• Topological susceptibility and ${\eta }^{\prime }$ meson mass from $N_f=2$ lattice QCD at the physical point
• The chromomagnetic operator on the lattice
• K -> pi matrix elements of the chromagnetic operator on the lattice
• Scale setting in lattice QCD
• Baryon chiral perturbation theory with Wilson fermions up to $\mathcal{O}(a^2)$ and discretization effects of latest $n_f=2+1$ LQCD octet baryon masses
• Charmless chiral perturbation theory for N_f=2+1+1 twisted mass lattice QCD
• Simulation of an ensemble of $N_f=2+1+1$ twisted mass clover-improved fermions at physical quark masses
• A tmQCD mixed-action approach to flavour physics
• Light and strange quark masses from $N_f=2+1$ simulations with Wilson fermions
• Wilson chiral perturbation theory for dynamical twisted mass fermions vs lattice data - a case study