Finite volume effects for meson masses and decay constants

Abstract

We present a detailed numerical study of finite volume effects for masses and decay constants of the octet of pseudoscalar mesons. For this analysis we use chiral perturbation theory and asymptotic formulae a la Luscher and propose an extension of the latter beyond the leading exponential term. We argue that such a formula, which is exact at the one-loop level, gives the numerically dominant part at two loops and beyond. Finally, we discuss the possibility to determine low energy constants from the finite volume dependence of masses and decay constants.

Latex, 31 pages, 6 figures, v2: added references, reformulation of chap.7.1, version to appear in Nucl.Phys.B

References in corpus (38)

• ππscattering
• Light pseudoscalar decay constants, quark masses, and low energy constants from three-flavor lattice QCD
• Light hadrons with improved staggered quarks: approaching the continuum limit
• Quenched Chiral Logarithms
• Elastic $\pi \pi$ scattering to two loops
• Pion and Kaon masses in Staggered Chiral Perturbation Theory
• QCD Isospin Breaking in Meson Masses, Decay Constants and Quark Mass Ratios
• Precise Determination of |V{us}| from Lattice Calculations of Pseudoscalar Decay Constants
• The pion mass in finite volume
• The nucleon mass in N_f=2 lattice QCD: finite size effects from chiral perturbation theory
• $K_{l4}$ - Decays Beyond One Loop
• Staggered eigenvalue mimicry
• Charged Pion-Pair Production and Pion Polarizabilities to two Loops
• I=2 $\pi \pi$ Scattering Phase Shift with two Flavors of $O(a)$ Improved Dynamical Quarks
• Nucleon Masses and Magnetic Moments in a Finite Volume
• Scaling tests with dynamical overlap and rooted staggered fermions
• $K_{\ell 4}$ Form-Factors and $\pi$-$\pi$ Scattering
• Baryon Axial Charge in a Finite Volume
• The Index Theorem and Universality Properties of the Low-lying Eigenvalues of Improved Staggered Quarks
• Tau Decays and Chiral Perturbation Theory
• Staggered versus overlap fermions: a study in the Schwinger model with $N_f=0,1,2$
• Heavy meson chiral perturbation theory in finite volume
• $\pi K$ Scattering in Three Flavour ChPT
• Twist-two matrix elements at finite and infinite volume
• Locality of the fourth root of the Staggered-fermion determinant: renormalization-group approach
• Impact of the finite volume effects on the chiral behavior of fK and BK
• Volume Dependence of the Pion Mass in the Quark-Meson-Model
• An asymptotic formula for the pion decay constant in a large volume
• Locality with staggered fermions
• Order of the Chiral and Continuum Limits in Staggered Chiral Perturbation Theory
• Chiral perturbation theory at non-zero lattice spacing
• Finite volume effects in chiral perturbation theory
• Finite size effects on $M_{\pi }$ in QCD from Chiral Perturbation Theory
• On the finite size mass shift formula for stable particles
• Volume dependences from lattice chiral perturbation theory
• Pion and kaon physics with improved staggered quarks
• The locality of the square-root method for improved staggered quarks
• The role of strange sea quarks in chiral extrapolations on the lattice

Cited by in corpus (148)

• The QCD transition temperature: results with physical masses in the continuum limit
• Leading hadronic contribution to the muon magnetic moment from lattice QCD
• FLAG Review 2019
• The QCD transition temperature: results with physical masses in the continuum limit II.
• FLAG Review 2021
• Infrared Properties of QCD from Dyson-Schwinger equations
• 2+1 Flavor Lattice QCD toward the Physical Point
• Full nonperturbative QCD simulations with 2+1 flavors of improved staggered quarks
• Review of lattice results concerning low energy particle physics
• Lattice calculation of the pion transition form factor with $N_f=2+1$ Wilson quarks
• Domain wall QCD with physical quark masses
• High Precision determination of the pi, K, D and D_s decay constants from lattice QCD
• Chiral Perturbation Theory and Baryon Properties
• Physical Results from 2+1 Flavor Domain Wall QCD and SU(2) Chiral Perturbation Theory
• Fermion Interactions and Universal Behavior in Strongly Interacting Theories
• Light hadrons from lattice QCD with light (u,d), strange and charm dynamical quarks
• 50 Years of Quantum Chromodynamics
• Dynamical Twisted Mass Fermions with Light Quarks: Simulation and Analysis Details
• Lattice QCD at the physical point: Simulation and analysis details
• Up, down, strange and charm quark masses with Nf = 2+1+1 twisted mass lattice QCD
• Window observable for the hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD
• Lattice calculation of the short and intermediate time-distance hadronic vacuum polarization contributions to the muon magnetic moment using twisted-mass fermions
• Vus from pi and K decay constants in full lattice QCD with physical u, d, s and c quarks
• Setting the scale for the CLS $2+1$ flavor ensembles
• Light Meson Physics from Maximally Twisted Mass Lattice QCD
• Dynamical Twisted Mass Fermions with Light Quarks
• Light Hadron Masses from Lattice QCD
• QED in finite volume and finite size scaling effect on electromagnetic properties of hadrons
• Flavour blindness and patterns of flavour symmetry breaking in lattice simulations of up, down and strange quarks
• Twisted mass lattice QCD
• Physical Point Simulation in 2+1 Flavor Lattice QCD
• The leading hadronic contribution to $(g-2{)}_{\mu }$ from lattice QCD with $N_{\mathrm{f}}=2+1$ flavours of O($a$) improved Wilson quarks
• QCD with Two Light Dynamical Chirally Improved Quarks: Baryons
• Lattice computation of the nucleon scalar quark contents at the physical point
• Nucleon isovector couplings from $N_f=2$ lattice QCD
• Domain Wall QCD with Near-Physical Pions
• Leptonic decay constants fK, fD and fDs with Nf = 2+1+1 twisted-mass lattice QCD
• Singly and Doubly Charmed J=1/2 Baryon Spectrum from Lattice QCD
• Nucleon mass and sigma term from lattice QCD with two light fermion flavors
• Pseudoscalar decay constants of kaon and D-mesons from Nf=2 twisted mass Lattice QCD
• Simulating twisted mass fermions at physical light, strange and charm quark masses
• Precision computation of the kaon bag parameter
• Direct determinations of the nucleon and pion $\sigma$ terms at nearly physical quark masses
• Thermodynamic Properties of Strongly Interacting Matter in a Finite Volume using the Polyakov-Nambu-Jona-Lasinio model
• Electromagnetic form factor of the pion from twisted-mass lattice QCD at Nf=2
• Towards grounding nuclear physics in QCD
• FLAG Review 2024
• The ratio FK/Fpi in QCD
• The Low Energy Constants of $SU(2)$ Partially Quenched Chiral Perturbation Theory from $N_f=2+1$ Domain Wall QCD
• Convergence of the chiral expansion in two-flavor lattice QCD
• Nucleon axial charge and pion decay constant from two-flavor lattice QCD
• SU(2) chiral perturbation theory low-energy constants from 2+1 flavor staggered lattice simulations
• Chiral perturbation theory for gradient flow observables
• Volume and Quark Mass Dependence of the Chiral Phase Transition
• Lattice QCD at the physical point meets SU(2) chiral perturbation theory
• Lattice QCD and the anomalous magnetic moment of the muon
• Neutral $B$ meson mixings and $B$ meson decay constants with static heavy and domain-wall light quarks
• The light-quark contribution to the leading HVP term of the muon $g-2$ from twisted-mass fermions
• The hadronic running of the electromagnetic coupling and the electroweak mixing angle from lattice QCD
• Finite volume corrections to pi-pi scattering
• High Statistics Analysis using Anisotropic Clover Lattices: (IV) Volume Dependence of Light Hadron Masses
• Isospin splittings of meson and baryon masses from three-flavor lattice QCD + QED
• Two- and three-body interactions in ${\phi }^4$ theory from lattice simulations
• Finite volume effects in a quenched lattice-QCD quark propagator
• S-parameter and pseudo-Nambu-Goldstone boson mass from lattice QCD
• BK-parameter from Nf = 2 twisted mass lattice QCD
• Volume behaviour of quark condensate, pion mass and decay constant from Dyson-Schwinger equations
• The Chiral Condensate in a Finite Volume
• $F_K/F_{\pi }$ from Möbius domain-wall fermions solved on gradient-flowed HISQ ensembles
• The pion vector form factor from lattice QCD and NNLO chiral perturbation theory
• Modeling Finite-Volume Effects and Chiral Symmetry Breaking in Two-Flavor QCD Thermodynamics
• Finite volume effects for nucleon and heavy meson masses
• Ratio of kaon and pion leptonic decay constants with $N_f=2+1+1$ Wilson-clover twisted-mass fermions
• Finite volume effects for the pion mass at two loops
• The S Parameter in QCD from Domain Wall Fermions
• Decay Constants of Pseudoscalar $D$-mesons in Lattice QCD with Domain-Wall Fermion
• Light hadrons from Nf=2+1+1 dynamical twisted mass fermions
• Nambu Jona Lasinio model with proper time regularization in a finite volume
• Two-photon decay of the neutral pion in lattice QCD
• The pion and proton mass in finite volume
• SU(2) Low-Energy Constants from Mixed-Action Lattice QCD
• B_K with two flavors of dynamical overlap fermions
• Leptonic decay-constant ratio f_{K^+}/f_{pi^+} from lattice QCD with physical light quarks
• Uncertainty Quantification in Lattice QCD Calculations for Nuclear Physics
• Kaon physics: a lattice perspective
• Pion in a Box
• Chiral logs in twisted mass lattice QCD with large isospin breaking
• Möbius domain-wall fermions on gradient-flowed dynamical HISQ ensembles
• Finite Volume at Two-loops in Chiral Perturbation Theory
• Large $N_c$ scaling of meson masses and decay constants
• Twisted Mass Finite Volume Effects
• Lattice Study on quantum-mechanical dynamics of two-color QCD with six light flavors
• Finite Volume Dependence of the Quark-Antiquark Vacuum Expectation Value
• Quark Hadron Duality at Finite Temperature
• External Momentum, Volume Effects, and the Nucleon Magnetic Moment
• Physical results from 2+1 flavor Domain Wall QCD
• Pseudoscalar Meson in Two Flavors QCD with the Optimal Domain-Wall Fermion
• Finite volume effects in $B_K$ with improved staggered fermions
• Leptonic decay-constant ratio $f_K/f_{\pi }$ from lattice QCD using 2+1 clover-improved fermion flavors with 2-HEX smearing
• Applications of Chiral Perturbation theory to lattice QCD
• Finite size effect on pseudoscalar meson sector in 2+1 flavor QCD at the physical point
• Topological susceptibility from the twisted mass Dirac operator spectrum
• Leading order mesonic and baryonic SU(3) low energy constants from $N_f=3$ lattice QCD
• Analytic representation of $F_K/F_{\pi }$ in two loop chiral perturbation theory
• Light quark masses in N_f = 2+1 lattice QCD with Wilson fermions
• First results of ETMC simulations with Nf=2+1+1 maximally twisted mass fermions
• The flavor dependence of $m_{\varrho }/f_{\pi }$
• Exponential reduction of finite volume effects with twisted boundary conditions
• Interpolation between the epsilon and p regimes
• Sensitivity of finite size effects to the boundary conditions and the vacuum term
• Finite-size scaling for the left-current correlator with non-degenerate quark masses
• Nambu-Jona-Lasinio model in a sphere
• Modeling pion physics in the $\epsilon$-regime of two-flavor QCD using strong coupling lattice QED
• Probing the chiral weak Hamiltonian at finite volumes
• Hard hadron spectroscopy
• The electromagnetic form factor of the pion: Results from the lattice
• Dissecting the $\Delta I=1/2$ rule at large $N_c$
• Scale setting for $N_f=3+1$ QCD
• Setting the scale for nHYP fermions with the Lüscher-Weisz gauge action
• Chiral condensates and screening masses of neutral pseudoscalar mesons from lattice QCD at physical quark masses
• Finite size effect on vector meson and baryon sectors in 2+1 flavor QCD at the physical point
• Simulation of Lattice QCD with Domain-Wall Fermions
• Lattice calculation of the pion mass difference $M_{{\pi }^{+}}-M_{{\pi }^0}$ at order $\mathcal{O}({\alpha }_{em})$
• Dynamical Generation of Elementary Fermion Mass: First Lattice Evidence
• Pseudoscalar mesons in a finite cubic volume with twisted boundary conditions
• Charmless chiral perturbation theory for N_f=2+1+1 twisted mass lattice QCD
• Meson decay constants from Nf=2 clover fermions
• Lattice Investigations of Nucleon Structure at Light Quark Masses
• Two Lectures on QCD at Short Distances: Jets and Factorization
• Brief Review of Saturation Physics
• Review on the inclusion of isospin breaking effects in lattice calculations
• First results with two light flavours of quarks with maximally twisted mass
• B_K with dynamical overlap fermions
• Exploring the chiral regime with dynamical overlap fermions
• Progress in kaon physics on the lattice
• Light meson spectrum with $N_f=2$ dynamical overlap fermions
• QCD in the delta-Regime
• Topics in Effective Field Theory for Lattice QCD
• A unified formulation of one-loop tensor integrals for finite volume effects
• Statistical tweaks and flow scale from masses
• Pion mass dependence of the $K_{l3}$ semileptonic scalar form factor within finite volume
• Role of the $\sigma$-resonance in determining the convergence of chiral perturbation theory
• Kaon semi-leptonic form factor at zero momentum transfer in finite volume
• Feynman Amplitudes in Periodically Compactified Spaces -- Spin 0
• The pion mass in finite volume to two loops
• Finite-size effects and scaling properties of chiral and baryon-number fluctuations
• $f_K/f_{\pi }$ in iso-symmetric QCD and the CKM matrix unitarity
• Dynamical fermions in lattice quantum chromodynamics