Low energy constants ofSU(2)partially quenched chiral perturbation theory fromNf=2+1domain wall QCD

2015/11/05 by P. A. Boyle, Norman H. Christ, N. H. Christ +19 · 1 citation
Physics and Astronomy · #Chiral perturbation theory #Diffraction #Energy (signal processing) #High-Energy Particle Collisions Research #Lattice (music) #Lattice QCD #Lattice constant #Meson #Particle physics #Particle physics theoretical and experimental studies #Physics #Pseudoscalar #Pseudoscalar meson #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Scattering #hep-lat #hep-ph

paper · pdf · doi:10.1103/physrevd.93.054502

published as Phys. Rev. D 93, 054502 (2016)

arxiv created 2015/11/05 · openalex publication_date 2016/03/09 · arxiv updated 2016/03/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We have performed fits of the pseudoscalar masses and decay constants, from a variety of the RBC-UKQCD Collaboration's domain wall fermion ensembles, to SU(2) partially quenched chiral perturbation theory at next-to-leading order (NLO) and next-to-next-to-leading order (NNLO). We report values for nine NLO and eight linearly independent combinations of NNLO partially quenched low-energy constants, which we compare to other lattice and phenomenological determinations. We discuss the size of successive terms in the chiral expansion and use our large set of low-energy constants to make predictions for mass splittings due to QCD isospin-breaking effects and the S-wave \ensuremathπ\ensuremathπ scattering lengths. We conclude that, for the range of pseudoscalar masses explored in this work, 115 MeV\ensuremath\lesssimm_PS\ensuremath\lesssim430 MeV, the NNLO SU(2) expansion is quite robust and can fit lattice data with percent-scale accuracy.

Citations

• A method for simulating chiral fermions on the lattice
• Chiral perturbation theory to one loop
• Two-point functions at two loops in three flavour chiral perturbation theory
• Möbius Fermions: Improved Domain Wall Chiral Fermions
• Finite volume effects for the pion mass at two loops
• Chiral perturbation theory: Expansions in the mass of the strange quark
• Gap domain wall fermions
• Infrared singularities and massive fields
• Renormalization of quark bilinear operators in a momentum-subtraction scheme with a nonexceptional subtraction point
• Three-flavor partially quenched chiral perturbation theory at NNLO for meson masses and decay constants
• Chiral fermions from lattice boundaries
• Möbius Fermions
• Phenomenological Lagrangians
• Big-Bang Nucleosynthesis

Cited by

• Connected and disconnected contractions in pion–pion scattering