Chiral Effective Theory Methods and their Application to the Structure of Hadrons from Lattice QCD

Abstract

For many years chiral effective theory (ChEFT) has enabled and supported lattice QCD calculations of hadron observables by allowing systematic effects from unphysical lattice parameters to be controlled. In the modern era of precision lattice simulations approaching the physical point, ChEFT techniques remain valuable tools. In this review we discuss the modern uses of ChEFT applied to lattice studies of hadron structure in the context of recent determinations of important and topical quantities. We consider muon g-2, strangeness in the nucleon, the proton radius, nucleon polarizabilities, and sigma terms relevant to the prediction of dark-matter-hadron interaction cross-sections, among others.

arXiv commentJournal of Physics G: Nuclear and Particle Physics focus issue on Lattice QCD

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• DarkBit: A GAMBIT module for computing dark matter observables and likelihoods
• Hadrons and Nuclei
• Nuclear matrix elements from lattice QCD for electroweak and beyond-Standard-Model processes
• Statistical Analyses of Higgs- and Z-Portal Dark Matter Models
• Quantum Monte Carlo calculations of dark matter scattering off light nuclei
• Electroweak Currents from Chiral Effective Field Theory
• Chiral Perturbation Theory Reflections on Effective Theories of the Standard Model