Nucleon axial, tensor, and scalar charges and $σ$-terms in lattice QCD

Fuente: arXiv
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Main Authors: Alexandrou, Constantia, Bacchio, Simone, Finkenrath, Jacob, Iona, Christos, Koutsou, Giannis, Li, Yan, Spanoudes, Gregoris
Format: Preprint
Published: 2025
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author Alexandrou, Constantia
Bacchio, Simone
Finkenrath, Jacob
Iona, Christos
Koutsou, Giannis
Li, Yan
Spanoudes, Gregoris
author_facet Alexandrou, Constantia
Bacchio, Simone
Finkenrath, Jacob
Iona, Christos
Koutsou, Giannis
Li, Yan
Spanoudes, Gregoris
contents We determine the nucleon axial, scalar and tensor charges at the continuum limit by analyzing three $N_f=2+1+1$ twisted mass fermion ensembles with all quark masses tuned to approximately their physical values. We include all contributions from valence and sea quarks. We use the Akaike Information Criterion to evaluate systematic errors due to excited states and the continuum extrapolation. For the nucleon isovector axial charge we find $g_A^{u-d}=1.250(24)$, in agreement with the experimental value. We compute the axial, tensor and scalar charges for each quark flavor. The axial charge provides crucial information on the intrinsic spin carried by quark in the nucleon and the the latter two provide input for experimental searches of physics beyond the standard model. Moreover, we extract the nucleon $σ$-terms and find $σ_{πN}=41.9(8.1)$ MeV, for the strange $σ_{s}=30(17)$ MeV and for the charm $σ_{c}=82(29)$ MeV. We also present preliminary results on the isovector quantities using a fourth ensemble at smaller lattice spacing.
format Preprint
id arxiv_https___arxiv_org_abs_2502_05274
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Nucleon axial, tensor, and scalar charges and $σ$-terms in lattice QCD
Alexandrou, Constantia
Bacchio, Simone
Finkenrath, Jacob
Iona, Christos
Koutsou, Giannis
Li, Yan
Spanoudes, Gregoris
High Energy Physics - Lattice
High Energy Physics - Experiment
High Energy Physics - Phenomenology
Nuclear Theory
We determine the nucleon axial, scalar and tensor charges at the continuum limit by analyzing three $N_f=2+1+1$ twisted mass fermion ensembles with all quark masses tuned to approximately their physical values. We include all contributions from valence and sea quarks. We use the Akaike Information Criterion to evaluate systematic errors due to excited states and the continuum extrapolation. For the nucleon isovector axial charge we find $g_A^{u-d}=1.250(24)$, in agreement with the experimental value. We compute the axial, tensor and scalar charges for each quark flavor. The axial charge provides crucial information on the intrinsic spin carried by quark in the nucleon and the the latter two provide input for experimental searches of physics beyond the standard model. Moreover, we extract the nucleon $σ$-terms and find $σ_{πN}=41.9(8.1)$ MeV, for the strange $σ_{s}=30(17)$ MeV and for the charm $σ_{c}=82(29)$ MeV. We also present preliminary results on the isovector quantities using a fourth ensemble at smaller lattice spacing.
title Nucleon axial, tensor, and scalar charges and $σ$-terms in lattice QCD
topic High Energy Physics - Lattice
High Energy Physics - Experiment
High Energy Physics - Phenomenology
Nuclear Theory
url https://arxiv.org/abs/2502.05274