On extraction of twist-two Compton form factors from DVCS observables through harmonic analysis

Abstract We investigate the exercise of locally extracting the real and imaginary parts of the four twist-2 Compton form factors (CFFs) H E H ~ E ~ $$ \left\{\mathcal{H},\mathcal{E},\overset{\sim }{\mathcal{H}},\overset{\sim }{\mathcal{E}}\right\} $$ which arise in the deeply virtual Compton scatter...

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Main Authors: Kyle Shiells, Yuxun Guo, Xiangdong Ji
Format: Article
Language:English
Published: SpringerOpen 2022-08-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP08(2022)048
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author Kyle Shiells
Yuxun Guo
Xiangdong Ji
author_facet Kyle Shiells
Yuxun Guo
Xiangdong Ji
author_sort Kyle Shiells
collection DOAJ
description Abstract We investigate the exercise of locally extracting the real and imaginary parts of the four twist-2 Compton form factors (CFFs) H E H ~ E ~ $$ \left\{\mathcal{H},\mathcal{E},\overset{\sim }{\mathcal{H}},\overset{\sim }{\mathcal{E}}\right\} $$ which arise in the deeply virtual Compton scattering (DVCS) process e + p → e + p + γ. Neglecting dynamical higher-twist contributions, we find that there are a sufficient number of DVCS observables and degrees of freedom to extract all 8 leading quantities model-independently, exploiting the azimuthal dependence of the absolute cross sections across all possible beam and target polarizations at a common kinematical point in {Q, t, x B , y}. As an example, for typical JLab lab-frame kinematics, we simplify the reduced DVCS observables to their dominant terms, providing a sufficient number of equations for local determination of the twist-2 CFFs. We demonstrate the feasibility using harmonic fitting to both cross sections and beam spin asymmetries with both real and pseudo-data.
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spelling doaj.art-108ba09a620d4a9a915d0ea6c8a31d1c2022-12-22T02:33:37ZengSpringerOpenJournal of High Energy Physics1029-84792022-08-012022815410.1007/JHEP08(2022)048On extraction of twist-two Compton form factors from DVCS observables through harmonic analysisKyle Shiells0Yuxun Guo1Xiangdong Ji2Center for Nuclear FemtographyUniversity of MarylandCenter for Nuclear FemtographyAbstract We investigate the exercise of locally extracting the real and imaginary parts of the four twist-2 Compton form factors (CFFs) H E H ~ E ~ $$ \left\{\mathcal{H},\mathcal{E},\overset{\sim }{\mathcal{H}},\overset{\sim }{\mathcal{E}}\right\} $$ which arise in the deeply virtual Compton scattering (DVCS) process e + p → e + p + γ. Neglecting dynamical higher-twist contributions, we find that there are a sufficient number of DVCS observables and degrees of freedom to extract all 8 leading quantities model-independently, exploiting the azimuthal dependence of the absolute cross sections across all possible beam and target polarizations at a common kinematical point in {Q, t, x B , y}. As an example, for typical JLab lab-frame kinematics, we simplify the reduced DVCS observables to their dominant terms, providing a sufficient number of equations for local determination of the twist-2 CFFs. We demonstrate the feasibility using harmonic fitting to both cross sections and beam spin asymmetries with both real and pseudo-data.https://doi.org/10.1007/JHEP08(2022)048Parton DistributionsProperties of HadronsSpecific QCD Phenomenology
spellingShingle Kyle Shiells
Yuxun Guo
Xiangdong Ji
On extraction of twist-two Compton form factors from DVCS observables through harmonic analysis
Journal of High Energy Physics
Parton Distributions
Properties of Hadrons
Specific QCD Phenomenology
title On extraction of twist-two Compton form factors from DVCS observables through harmonic analysis
title_full On extraction of twist-two Compton form factors from DVCS observables through harmonic analysis
title_fullStr On extraction of twist-two Compton form factors from DVCS observables through harmonic analysis
title_full_unstemmed On extraction of twist-two Compton form factors from DVCS observables through harmonic analysis
title_short On extraction of twist-two Compton form factors from DVCS observables through harmonic analysis
title_sort on extraction of twist two compton form factors from dvcs observables through harmonic analysis
topic Parton Distributions
Properties of Hadrons
Specific QCD Phenomenology
url https://doi.org/10.1007/JHEP08(2022)048
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AT yuxunguo onextractionoftwisttwocomptonformfactorsfromdvcsobservablesthroughharmonicanalysis
AT xiangdongji onextractionoftwisttwocomptonformfactorsfromdvcsobservablesthroughharmonicanalysis