6533b7d4fe1ef96bd12630a4

RESEARCH PRODUCT

Gauge invariance of the deeply virtual Compton scattering amplitude

Bernard PireI. V. AnikinO. V. Teryaev

subject

Quantum chromodynamicsPhysicsNuclear and High Energy PhysicsParticle physics010308 nuclear & particles physicsHigh Energy Physics::LatticeHigh Energy Physics::PhenomenologyCompton scatteringInelastic scatteringDeep inelastic scattering01 natural sciencesScattering amplitudeAmplitudePionQuantum electrodynamics0103 physical sciencesHigh Energy Physics::ExperimentGauge theoryNuclear Experiment010306 general physics

description

We analyze in detail the problem of gauge invariance of the deeply virtual Compton scattering (DVCS) amplitude. Using twist-3 one-gluon exchange diagram contributions and the QCD equations of motion, we derive the general gauge invariant expression of the DVCS amplitude on a (pseudo)scalar particle (pion, ${\mathrm{He}}^{4}).$ Similarly to the case of deep inelastic scattering, the amplitude does not depend on the twist-3 quark-gluon correlations at the Born level. The contribution of the derived amplitude to the single-spin asymmetry with longitudinally polarized lepton is calculated.

https://doi.org/10.1103/physrevd.62.071501