English

Nucleon matrix elements of the antisymmetric quark tensor

High Energy Physics - Phenomenology 2020-05-11 v3 High Energy Physics - Lattice Nuclear Theory

Abstract

If physics beyond the Standard Model enters well above the electroweak scale, its low-energy effects are described by Standard Model Effective Field Theory. Already at dimension six many operators involve the antisymmetric quark tensor qˉσμνq\bar q \sigma^{\mu\nu} q, whose matrix elements are difficult to constrain from experiment, Ward identities, or low-energy theorems, in contrast to the corresponding vector and axial-vector or even scalar and pseudoscalar currents. However, with normalizations determined from lattice QCD, analyticity and unitarity often allow one to predict the momentum dependence in a large kinematic range. Starting from recent results in the meson sector, we extend this method to the nucleon case and, in combination with pole dominance, provide a comprehensive assessment of the current status of the nucleon form factors of the quark tensor.

Keywords

Cite

@article{arxiv.1811.11181,
  title  = {Nucleon matrix elements of the antisymmetric quark tensor},
  author = {Martin Hoferichter and Bastian Kubis and Jacobo Ruiz de Elvira and Peter Stoffer},
  journal= {arXiv preprint arXiv:1811.11181},
  year   = {2020}
}

Comments

7 pages, 3 figures; strangeness input updated

R2 v1 2026-06-23T06:22:31.865Z