Relating hadronic CP-violation to higher-twist distributions

TL;DR

This paper links hadronic CP-violation parameters to higher-twist distributions, providing a new way to estimate nucleon sigma terms relevant for CP-violation studies using measurable distribution functions.

Contribution

It demonstrates that the nucleon sigma term related to quark chromo-magnetic dipole moments can be expressed through the third moment of twist-three distributions, connecting theory with measurable quantities.

Findings

Mapped the sigma term to the third moment of twist-three distributions.

Derived a predicted range for the isoscalar chromo-magnetic dipole moment.

Surveyed existing models and experimental data on distribution functions.

Abstract

The nucleon sigma term of the isoscalar and isovector quark chromo-magnetic dipole moments are essential inputs for the determination of the CP-odd pion-nucleon couplings induced by quark chromo-electric dipole moments. We demonstrate that the former can be mapped to the third moment of the nucleon twist-three chiral-odd distribution functions $e^q(x)$ which are in principle measurable in semi-inclusive deep inelastic scattering processes. We perform a survey on existing model calculations as well as experimental data on $e^u(x)+e^d(x)$ and derive a predicted range for the isoscalar chromo-magnetic dipole moment sigma term.