Low energy chiral constants from epsilon-regime simulations with improved Wilson fermions

Abstract

We present a lattice QCD calculation of the low energy constants of the leading order chiral Lagrangian. In these simulations the epsilon regime is reached by using tree-level improved nHYP Wilson fermions combined with reweighting in the quark mass. We analyze two point functions on two ensembles with lattices of size (1.85fm)^4 and (2.8fm)^4, and at several quark mass values between 4 and 20 MeV. The data are well fitted with next-to-leading order chiral perturbative formulae and predict F=90(4)MeV and Sigma^(1/3)=248(6)MeV in the MS-bar scheme at 2 GeV.

Extended discussion on reweighting, including a new figure, discussion on reaching the epsilon regime with chiral fermions, and some small stylistic changes. Version published in PRD. 17 pages, 9 figures

References in corpus (20)

• A General Method for Non-Perturbative Renormalization of Lattice Operators
• Renormalization and Running of Quark Mass and Field in the Regularization Invariant and MS-bar Schemes at Three and Four Loops
• Hypercubic Smeared Links for Dynamical Fermions
• Stability of lattice QCD simulations and the thermodynamic limit
• Low-energy couplings of QCD from current correlators near the chiral limit
• QCD with light Wilson quarks on fine lattices (I): first experiences and physics results
• Reweighting towards the chiral limit
• Two-flavor lattice QCD in the epsilon-regime and chiral Random Matrix Theory
• Non-perturbative Renormalization of Quark bilinears
• Axial Correlation Functions in the epsilon-Regime: a Numerical Study with Overlap Fermions
• Lattice study of meson correlators in the epsilon-regime of two-flavor QCD
• Low-energy couplings of QCD from topological zero-mode wave functions
• Non-perturbatively renormalised light quark masses from a lattice simulation with N_f=2
• Renormalization Constants of Quark Operators for the Non-Perturbatively Improved Wilson Action
• Parameters of the lowest order chiral Lagrangian from fermion eigenvalues
• Renormalization of bilinear quark operators for the chirally improved lattice Dirac operator
• Low-lying mode contribution to the quenched meson correlators in the epsilon-regime
• Overlap Hypercube Fermions in QCD Simulations Near the Chiral Limit
• Renormalization of Bilinear Quark Operators for Overlap Fermions
• Testing chiral effective theory with quenched lattice QCD

Cited by in corpus (38)

• FLAG Review 2019
• FLAG Review 2021
• Review of lattice results concerning low energy particle physics
• $D_{s0}^{\ast }(2317)$ Meson and $D$-Meson-Kaon Scattering from Lattice QCD
• Coupled channel analysis of the rho meson decay in lattice QCD
• $D_s$ mesons with $DK$ and $D^{\ast }K$ scattering near threshold
• D Pi scattering and D meson resonances from lattice QCD
• Scattering in the pion-nucleon negative parity channel in lattice QCD
• X(3872) and Y(4140) using diquark-antidiquark operators with lattice QCD
• Infrared fixed point in SU(2) gauge theory with adjoint fermions
• Running coupling and mass anomalous dimension of SU(3) gauge theory with two flavors of symmetric-representation fermions
• K pi scattering for isospin 1/2 and 3/2 in lattice QCD
• Finite-size scaling tests for SU(3) lattice gauge theory with color sextet fermions
• K pi scattering and the K* decay width from lattice QCD
• Search for Z_c^+(3900) in the 1^+- channel on the lattice
• Determination of the chiral condensate from QCD Dirac spectrum on the lattice
• Nucleon-$J/\psi$ and nucleon-${\eta }_c$ scattering in $P_c$ pentaquark channels from LQCD
• Axial resonances a1(1260), b1(1235) and their decays from the lattice
• Chiral condensate from the twisted mass Dirac operator spectrum
• The scalar pion form factor in two-flavor lattice QCD
• SU(4) lattice gauge theory with decuplet fermions: Schrödinger functional analysis
• Mass anomalous dimension in sextet QCD
• The epsilon regime with Wilson fermions
• Zb tetraquark channel from lattice QCD and Born-Oppenheimer approximation
• Probing the chiral regime of Nf=2 QCD with mixed actions
• Tetraquark systems $\bar{b}b\bar{d}u$ in the static limit and lattice QCD
• Finite Volume Scaling of Pseudo Nambu-Goldstone Bosons in QCD
• Computation of the electromagnetic pion form factor from lattice QCD in the epsilon regime
• Interpolation between the epsilon and p regimes
• Fluctuations and reweighting of the quark determinant on large lattices
• Chiral Random Matrix Theory and Chiral Perturbation Theory
• The epsilon regime of chiral perturbation theory with Wilson-type fermions
• Charmonium-like states from scattering on the lattice
• Positive parity $D_s$ mesons
• Wilson twisted mass fermions in the epsilon regime
• K pi scattering in moving frames
• $DK$ and $D^{\ast }K$ scattering near threshold
• $J/\psi$ -nucleon scattering in $P_c^{+}$ pentaquarks channel