Relating hadronic CP-violation to higher-twist distributions

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.

6 pages, 1 table, 1 figure. Accepted by Physical Review Letters

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Cited by in corpus (11)

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• CP-violating axion interactions in effective field theory
• Parton distribution function for the gluon condensate
• $CP$-odd gluonic operators in QCD spin physics
• Extraction of the higher-twist parton distribution $e(x)$ from CLAS data
• Beam spin asymmetry in semi-inclusive electroproduction of a hadron pair
• Nuclear electric dipole moment in the cluster model with a triton: ${}^7$Li and ${}^{11}$B
• CP-violating axion interactions II: axions as Dark Matter
• Exploring CP Violation beyond the Standard Model and the PQ Quality with Electric Dipole Moments
• Uncovering an Axion Mechanism with the EDM Portfolio