Nucleon Matrix Elements of the Antisymmetric Quark Tensor

Area of Science:

• Particle Physics
• Quantum Field Theory
• Nuclear Physics

Background:

• Physics beyond the Standard Model (BSM) at high scales impacts low-energy physics via Standard Model Effective Field Theory (SMEFT).
• Dimension-6 operators in SMEFT often involve the antisymmetric quark tensor, which is experimentally challenging to constrain.
• Existing methods struggle to constrain quark tensor matrix elements compared to other current types.

Purpose of the Study:

• To extend the analysis of quark tensor form factors from the meson sector to the nucleon sector.
• To provide a comprehensive assessment of the current status of nucleon form factors for the quark tensor.
• To utilize lattice QCD, analyticity, and unitarity to predict momentum dependence.

Main Methods:

• Application of lattice Quantum Chromodynamics (QCD) for normalization.
• Leveraging analyticity and unitarity to predict momentum dependence over a wide kinematic range.
• Incorporating pole dominance model for comprehensive assessment.

Main Results:

• Successful extension of the meson-sector method to the nucleon case.
• Demonstration of predicting momentum dependence using analyticity and unitarity.
• Comprehensive assessment of nucleon quark tensor form factors.

Conclusions:

• The developed method provides a robust framework for analyzing quark tensor form factors.
• Lattice QCD, combined with analyticity, unitarity, and pole dominance, offers powerful constraints.
• This work advances the understanding of BSM physics through SMEFT at the nucleon level.