Chiral extrapolation and determination of low-energy constants from lattice data

Abstract

We propose analytic approximations of chiral SU(3) amplitudes for the extrapolation of lattice data to the physical meson masses. The method allows the determination of NNLO low-energy constants in a controllable fashion. We test the approach with recent lattice data for the ratio F_K/F_pi of meson decay constants.

arXiv comment10 pages, 1 figure, matches version published in PLB: title enlarged, comments added, results unchanged

References in corpus (13)

• The Mesonic Chiral Lagrangian of Order $p^6$
• Towards a consistent estimate of the chiral low-energy constants
• Renormalization of chiral perturbation theory to order p^6
• QCD Isospin Breaking in Meson Masses, Decay Constants and Quark Mass Ratios
• Physical Point Simulation in 2+1 Flavor Lattice QCD
• Two-point Functions at Two Loops in Three Flavour Chiral Perturbation Theory
• Chiral Perturbation Theory Beyond One Loop
• The ratio FK/Fpi in QCD
• Double Chiral Logs
• Chiral Extrapolation of the Strangeness Changing K pi Form Factor
• Kaon physics: a lattice perspective
• Results from the MILC collaboration's SU(3) chiral perturbation theory analysis
• Determination of Low Energy Constants and testing Chiral Perturbation Theory at order $p^6$ (NNLO)

Cited by in corpus (17)

• Review of lattice results concerning low energy particle physics
• Mesonic low-energy constants
• The ${\eta }^{\prime }$ transition form factor from space- and time-like experimental data
• A new global fit of the $L_i^r$ at next-to-next-to-leading order in Chiral Perturbation Theory
• Novel approaches in Hadron Spectroscopy
• NNLO low-energy constants from flavor-breaking chiral sum rules based on hadronic tau-decay data
• Analytic representation of $F_K/F_{\pi }$ in two loop chiral perturbation theory
• An Analytic Analysis of the Pion Decay Constant in Three-Flavoured Chiral Perturbation Theory
• Analytic representations of $m_K$, $F_K$, $m_{\eta }$ and $F_{\eta }$ in two loop $SU(3)$ chiral perturbation theory
• Approximating chiral SU(3) amplitudes
• Resonance effects in pion and kaon decay constants
• Theoretical aspects of Chiral Dynamics
• Facets of chiral perturbation theory
• Chiral extrapolation of SU(3) amplitudes
• $\eta$-${\eta }^{\prime }$ mixing in large-$N_c$ chiral perturbation theory: discussion, phenomenology, and prospects
• Pseudoscalar transition form factors: $(g-2)$ of the muon, pseudoscalar decays into lepton pairs, and the $\eta -{\eta }^{\prime }$ mixing
• Analytic Approximations for the Extrapolation of Lattice Data