Extraction of generalized parton distribution observables from deeply virtual electron proton scattering experiments
Abstract
We provide the general expression of the cross section for exclusive deeply virtual photon electroproduction from a spin-1/2 target using current parametrizations of the off-forward correlation function in a nucleon for different beam and target polarization configurations up to twist-three accuracy. All contributions to the cross section including deeply virtual Compton scattering, the Bethe-Heitler process, and their interference, are described within a helicity-amplitude-based framework which is also relativistically covariant and readily applicable to both the laboratory frame and in a collider kinematic setting. Our formalism renders a clear physical interpretation of the various components of the cross section by making a connection with the known characteristic structure of the electron scattering coincidence reactions. In particular, we focus on the total angular momentum, $$J_z$$, and on the orbital angular momentum, $$L_z$$. On one side, we uncover an avenue to a precise extraction of $$J_z$$, given by the combination of generalized parton distributions, $$\textit{H}$$ + $$\textit{E}$$, through a generalization of the Rosenbluth separation method used in elastic electron proton scattering. On the other side, we single out for the first time, the twist-three angular modulations of the cross section that are sensitive to $$L_z$$. The proposed generalized Rosenbluth technique adds constraints and can be extended to additional observables relevant to the mapping of the three-dimensional structure of the nucleon.
- Publication Date:
- Research Org.:
- Univ. of Virginia, Charlottesville, VA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1604844
- Alternate Identifier(s):
- OSTI ID: 1800850
- Grant/Contract Number:
- SC0016286; FG02-96ER40950
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 101 Journal Issue: 5; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Astronomy & Astrophysics; Physics
Citation Formats
Kriesten, Brandon, Meyer, Andrew, Liuti, Simonetta, Diaz, Liliet Calero, Keller, Dustin, Goldstein, Gary R., and Gonzalez-Hernandez, J. Osvaldo. Extraction of generalized parton distribution observables from deeply virtual electron proton scattering experiments. United States: N. p., 2020.
Web. doi:10.1103/PhysRevD.101.054021.
Kriesten, Brandon, Meyer, Andrew, Liuti, Simonetta, Diaz, Liliet Calero, Keller, Dustin, Goldstein, Gary R., & Gonzalez-Hernandez, J. Osvaldo. Extraction of generalized parton distribution observables from deeply virtual electron proton scattering experiments. United States. https://doi.org/10.1103/PhysRevD.101.054021
Kriesten, Brandon, Meyer, Andrew, Liuti, Simonetta, Diaz, Liliet Calero, Keller, Dustin, Goldstein, Gary R., and Gonzalez-Hernandez, J. Osvaldo. Mon .
"Extraction of generalized parton distribution observables from deeply virtual electron proton scattering experiments". United States. https://doi.org/10.1103/PhysRevD.101.054021.
@article{osti_1604844,
title = {Extraction of generalized parton distribution observables from deeply virtual electron proton scattering experiments},
author = {Kriesten, Brandon and Meyer, Andrew and Liuti, Simonetta and Diaz, Liliet Calero and Keller, Dustin and Goldstein, Gary R. and Gonzalez-Hernandez, J. Osvaldo},
abstractNote = {We provide the general expression of the cross section for exclusive deeply virtual photon electroproduction from a spin-1/2 target using current parametrizations of the off-forward correlation function in a nucleon for different beam and target polarization configurations up to twist-three accuracy. All contributions to the cross section including deeply virtual Compton scattering, the Bethe-Heitler process, and their interference, are described within a helicity-amplitude-based framework which is also relativistically covariant and readily applicable to both the laboratory frame and in a collider kinematic setting. Our formalism renders a clear physical interpretation of the various components of the cross section by making a connection with the known characteristic structure of the electron scattering coincidence reactions. In particular, we focus on the total angular momentum, $J_z$, and on the orbital angular momentum, $L_z$. On one side, we uncover an avenue to a precise extraction of $J_z$, given by the combination of generalized parton distributions, $\textit{H}$ + $\textit{E}$, through a generalization of the Rosenbluth separation method used in elastic electron proton scattering. On the other side, we single out for the first time, the twist-three angular modulations of the cross section that are sensitive to $L_z$. The proposed generalized Rosenbluth technique adds constraints and can be extended to additional observables relevant to the mapping of the three-dimensional structure of the nucleon.},
doi = {10.1103/PhysRevD.101.054021},
journal = {Physical Review D},
number = 5,
volume = 101,
place = {United States},
year = {2020},
month = {3}
}
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Works referenced in this record:
GPD phenomenology and DVCS fitting: Entering the high-precision era
journal, June 2016
- Kumerički, Krešimir; Liuti, Simonetta; Moutarde, Hervé
- The European Physical Journal A, Vol. 52, Issue 6
Deeply virtual Compton scattering amplitude in the parton model
journal, October 2000
- Penttinen, M.; Polyakov, M. V.; Shuvaev, A. G.
- Physics Letters B, Vol. 491, Issue 1-2
High Energy Elastic Scattering of Electrons on Protons
journal, August 1950
- Rosenbluth, M. N.
- Physical Review, Vol. 79, Issue 4
On the observability of the quark orbital angular momentum distribution
journal, April 2014
- Courtoy, Aurore; Goldstein, Gary R.; Osvaldo Gonzalez Hernandez, J.
- Physics Letters B, Vol. 731
Virtual Compton scattering off protons at moderately large momentum transfer
journal, March 1996
- Kroll, P.; Schürmann, M.; Guichon, P. A. M.
- Nuclear Physics A, Vol. 598, Issue 4
Timelike and spacelike deeply virtual Compton scattering at next-to-leading order
journal, March 2013
- Moutarde, H.; Pire, B.; Sabatié, F.
- Physical Review D, Vol. 87, Issue 5
Virtual Compton scattering off the nucleon
journal, January 1998
- Guichon, P.
- Progress in Particle and Nuclear Physics, Vol. 41
Considerations of polarization in inclusive electron scattering from nuclei
journal, July 1986
- Donnelly, T. W.; Raskin, A. S.
- Annals of Physics, Vol. 169, Issue 2
Testing the handbag contribution to exclusive virtual Compton scattering
journal, October 1997
- Diehl, Markus; Gousset, Thierry; Pire, Bernard
- Physics Letters B, Vol. 411, Issue 1-2
E00-110 experiment at Jefferson Lab Hall A: Deeply virtual Compton scattering off the proton at 6 GeV
journal, November 2015
- Defurne, M.; Amaryan, M.; Aniol, K. A.
- Physical Review C, Vol. 92, Issue 5
Nonforward parton distributions
journal, November 1997
- Radyushkin, A. V.
- Physical Review D, Vol. 56, Issue 9
Theory of deeply virtual Compton scattering on the nucleon
journal, May 2002
- Belitsky, A. V.; Müller, D.; Kirchner, A.
- Nuclear Physics B, Vol. 629, Issue 1-3
On the analysis of lepton scattering on longitudinally or transversely polarized protons
journal, June 2005
- Diehl, M.; Sapeta, S.
- The European Physical Journal C, Vol. 41, Issue 4
Timelike Compton scattering off the neutron and generalized parton distributions
journal, February 2016
- Boër, M.; Guidal, M.; Vanderhaeghen, M.
- The European Physical Journal A, Vol. 52, Issue 2
Topics in theory of generalized parton distributions
journal, May 2013
- Radyushkin, A. V.
- Physics of Particles and Nuclei, Vol. 44, Issue 3
Generalized parton correlation functions for a spin-1/2 hadron
journal, August 2009
- Meißner, Stephan; Metz, Andreas; Schlegel, Marc
- Journal of High Energy Physics, Vol. 2009, Issue 08
Twist analysis of the nucleon spin in QCD
journal, October 2012
- Hatta, Yoshitaka; Yoshida, Shinsuke
- Journal of High Energy Physics, Vol. 2012, Issue 10
Generalized parton distributions
journal, December 2003
- Diehl, M.
- Physics Reports, Vol. 388, Issue 2-4
Proof of factorization for deeply virtual Compton scattering in QCD
journal, February 1999
- Collins, John C.; Freund, Andreas
- Physical Review D, Vol. 59, Issue 7
Precision Rosenbluth Measurement of the Proton Elastic Form Factors
journal, April 2005
- Qattan, I. A.; Arrington, J.; Segel, R. E.
- Physical Review Letters, Vol. 94, Issue 14
On the General Theory of Collisions for Particles with Spin
journal, April 2000
- Jacob, M.; Wick, G. C.
- Annals of Physics, Vol. 281, Issue 1-2
Nuclear response in electromagnetic interactions with complex nuclei
journal, April 1993
- Boffi, S.; Giusti, C.; Pacati, F. D.
- Physics Reports, Vol. 226, Issue 1-2
Deeply virtual Compton scattering to the twist-four accuracy: Impact of finite- and target mass corrections
journal, April 2014
- Braun, V. M.; Manashov, A. N.; Müller, D.
- Physical Review D, Vol. 89, Issue 7
Polarization in coincidence electron scattering from nuclei
journal, April 1989
- Raskin, A. S.; Donnelly, T. W.
- Annals of Physics, Vol. 191, Issue 1
Gauge invariance of the deeply virtual Compton scattering amplitude
journal, August 2000
- Anikin, I. V.; Pire, B.; Teryaev, O. V.
- Physical Review D, Vol. 62, Issue 7
Gauge-Invariant Decomposition of Nucleon Spin
journal, January 1997
- Ji, Xiangdong
- Physical Review Letters, Vol. 78, Issue 4
On the general theory of collisions for particles with spin
journal, August 1959
- Jacob, M.; Wick, G. C.
- Annals of Physics, Vol. 7, Issue 4
Refined analysis of photon leptoproduction off a spinless target
journal, January 2009
- Belitsky, A. V.; Müller, D.
- Physical Review D, Vol. 79, Issue 1
Polarized - elastic scattering in the collider frame
journal, July 2011
- Sofiatti, C.; Donnelly, T. W.
- Physical Review C, Vol. 84, Issue 1
Exclusive Electroproduction of Lepton Pairs as a Probe of Nucleon Structure
journal, January 2003
- Belitsky, A. V.; Müller, D.
- Physical Review Letters, Vol. 90, Issue 2
Flexible parametrization of generalized parton distributions from deeply virtual Compton scattering observables
journal, August 2011
- Goldstein, Gary R.; Hernandez, J. Osvaldo Gonzalez; Liuti, Simonetta
- Physical Review D, Vol. 84, Issue 3
Polarization observables in deuteron photodisintegration and electrodisintegration
journal, December 1989
- Dmitrasinovic, V.; Gross, Franz
- Physical Review C, Vol. 40, Issue 6
Electron-Ion Collider: The next QCD frontier: Understanding the glue that binds us all
journal, September 2016
- Accardi, A.; Albacete, J. L.; Anselmino, M.
- The European Physical Journal A, Vol. 52, Issue 9
Lorentz invariance and QCD equation of motion relations for generalized parton distributions and the dynamical origin of proton orbital angular momentum
journal, October 2018
- Rajan, Abha; Engelhardt, Michael; Liuti, Simonetta
- Physical Review D, Vol. 98, Issue 7
Parton transverse momentum and orbital angular momentum distributions
journal, August 2016
- Rajan, Abha; Courtoy, Aurore; Engelhardt, Michael
- Physical Review D, Vol. 94, Issue 3
Target mass corrections
journal, March 2008
- Schienbein, Ingo; Radescu, Voica A.; Zeller, G. P.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 35, Issue 5
Two-photon exchange in elastic electron–proton scattering
journal, July 2017
- Afanasev, A.; Blunden, P. G.; Hasell, D.
- Progress in Particle and Nuclear Physics, Vol. 95
Semi-inclusive deep inelastic scattering at small transverse momentum
journal, February 2007
- Bacchetta, Alessandro; Diehl, Markus; Goeke, Klaus
- Journal of High Energy Physics, Vol. 2007, Issue 02
Exclusive electroproduction revisited: Treating kinematical effects
journal, October 2010
- Belitsky, A. V.; Müller, D.
- Physical Review D, Vol. 82, Issue 7
Generalized parton distributions with helicity flip
journal, March 2001
- Diehl, M.
- The European Physical Journal C, Vol. 19, Issue 3
Some tests for the helicity structure of the Pomeron in ep collisions
journal, May 1997
- Arens, T.; Nachtmann, O.; Diehl, M.
- Zeitschrift f�r Physik C Particles and Fields, Vol. 74, Issue 4
Single-spin asymmetries: The Trento conventions
journal, December 2004
- Bacchetta, Alessandro; D’Alesio, Umberto; Diehl, Markus
- Physical Review D, Vol. 70, Issue 11
Unraveling hadron structure with generalized parton distributions
journal, October 2005
- Belitsky, A. V.; Radyushkin, A. V.
- Physics Reports, Vol. 418, Issue 1-6
Erratum: Polarization observables in deuteron photodisintegration and electrodisintegration
journal, March 1991
- Dmitrašinović, V.; Gross, Franz
- Physical Review C, Vol. 43, Issue 3
Deeply virtual Compton scattering in next-to-leading order
journal, February 2000
- Belitsky, A. V.; Müller, D.; Niedermeier, L.
- Physics Letters B, Vol. 474, Issue 1-2
Compton scattering: From deeply virtual to quasi-real
journal, January 2014
- Belitsky, A. V.; Müller, D.; Ji, Y.
- Nuclear Physics B, Vol. 878
Timelike Compton scattering off the proton and generalized parton distributions
journal, August 2015
- Boër, M.; Guidal, M.; Vanderhaeghen, M.
- The European Physical Journal A, Vol. 51, Issue 8