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Nucleon matrix elements of the antisymmetric quark tensor
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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 $\bar q \sigma^{\mu\nu} q$, 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.
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Cited by 1 Pith paper
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Revisiting Roy-Steiner-equation analysis of pion-kaon scattering from lattice QCD data
A Roy-Steiner dispersive analysis of lattice QCD pion-kaon data at m_pi = 391 MeV finds the κ resonance at (966-i198) MeV, a broad resonance rather than the virtual-state pole reported in K-matrix analyses.
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