Nucleon-pion-state contribution in lattice calculations of the nucleon charges $g_A,g_T$ and $g_S$

Abstract

We employ leading order covariant chiral perturbation theory to compute the nucleon-pion-state contribution to the 3-point correlation functions one typically measures in lattice QCD to extract the isovector nucleon charges $g_A,g_T$ and $g_S$. We estimate the impact of the nucleon-pion-state contribution on both the plateau and the summation method for lattice simulations with physical pion masses. The nucleon-pion-state contribution results in an overestimation of all charges with both methods. The overestimation is roughly equal for the axial and the tensor charge, and about fifty percent larger for the scalar charge.

18 pages, 8 figures. V3: A few comments and two references added; matches published version

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Cited by in corpus (26)

• FLAG Review 2019
• FLAG Review 2021
• Precision Nucleon Charges and Form Factors Using 2+1-flavor Lattice QCD
• FLAG Review 2024
• Towards grounding nuclear physics in QCD
• Iso-vector axial form factors of the nucleon in two-flavour lattice QCD
• Nucleon axial, scalar, and tensor charges using lattice QCD at the physical pion mass
• $N\pi$-state contamination in lattice calculations of the nucleon axial form factors
• Status of Lattice QCD Determination of Nucleon Form Factors and their Relevance for the Few-GeV Neutrino Program
• The pion-nucleon sigma term from lattice QCD
• First moments of the nucleon transverse quark spin densities using lattice QCD
• $N\pi$-state contamination in lattice calculations of the nucleon pseudoscalar form factor
• On the effect of excited states in lattice calculations of the nucleon axial charge
• Chiral perturbation theory and nucleon-pion-state contaminations in lattice QCD
• $N\pi$-states and the projection method for the nucleon axial and pseudoscalar form factors
• Nucleon-pion-state contribution in lattice calculations of moments of parton distribution functions
• Excited states in nucleon structure calculations
• $N\pi$-state contamination in lattice calculations of the nucleon electromagnetic form factors
• Extraction of bare Form Factors for ${\mathrm{B}}_{\mathrm{s}}\to \mathrm{K}\ell \nu$ Decays in non-perturbative HQET
• Three-particle $N\pi \pi$ state contribution to the nucleon two-point function in lattice QCD
• Detailed analysis of excited state systematics in a lattice QCD calculation of $g_A$
• Hints and challenges in heavy flavor physics
• Hadron Structure and Spectrum from the Lattice
• Excited-state effects in nucleon structure on the lattice using hybrid interpolators
• Nucleon form factors and couplings with $N_{\mathrm{f}}=2+1$ Wilson fermions
• Nucleon mass: trace anomaly and $\sigma$-terms