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.

arXiv comment6 pages, 1 table, 1 figure. Accepted by Physical Review Letters

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Cited by in corpus (12)

• The role of zero-mode contributions in the matching for the twist-3 PDFs $e(x)$ and $h_L(x)$
• Observation of Beam Spin Asymmetries in the Process $ep\to e{\pi }^{+}{\pi }^{-}X$ with CLAS12
• 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
• Nuclear electric dipole moment in the cluster model with a triton: ${}^7$Li and ${}^{11}$B
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• R-parity violating two-loop level rainbowlike contribution to the fermion electric dipole moment
• Exploring CP Violation beyond the Standard Model and the PQ Quality with Electric Dipole Moments
• Uncovering an Axion Mechanism with the EDM Portfolio