Covariant extension of the GPD overlap representation at low Fock states

Chouika, N.; Mezrag, C.; Moutarde, H.; Rodríguez-Quintero, J.

doi:10.1140/epjc/s10052-017-5465-6

Title: Covariant extension of the GPD overlap representation at low Fock states

Abstract

Here, we present a novel approach to compute generalized parton distributions within the lightfront wave function overlap framework. We show how to systematically extend generalized parton distributions computed within the DGLAP region to the ERBL one, fulfilling at the same time both the polynomiality and positivity conditions. We exemplify our method using pion lightfront wave functions inspired by recent results of non-perturbative continuum techniques and algebraic nucleon lightfront wave functions. We also test the robustness of our algorithm on reggeized phenomenological parameterizations. This approach paves the way to a better understanding of the nucleon structure from non-perturbative techniques and to a unification of generalized parton distributions and transverse momentum dependent parton distribution functions phenomenology through lightfront wave functions.

Authors:

; Mezrag, C.; Moutarde, H.; Rodríguez-Quintero, J.

Publication Date:: Tue Dec 26 00:00:00 EST 2017

Research Org.:: Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP)

OSTI Identifier:: 1414883

Alternate Identifier(s):: OSTI ID: 1436311

Grant/Contract Number:: AC02-06CH11357

Resource Type:: Published Article

Journal Name:: European Physical Journal. C, Particles and Fields

Additional Journal Information:: Journal Name: European Physical Journal. C, Particles and Fields Journal Volume: 77 Journal Issue: 12; Journal ID: ISSN 1434-6044

Publisher:: Springer Science + Business Media

Country of Publication:: Germany

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Chouika, N., Mezrag, C., Moutarde, H., and Rodríguez-Quintero, J. Covariant extension of the GPD overlap representation at low Fock states.  Germany: N. p., 2017. 
Web.  doi:10.1140/epjc/s10052-017-5465-6.

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                    Chouika, N., Mezrag, C., Moutarde, H., & Rodríguez-Quintero, J. Covariant extension of the GPD overlap representation at low Fock states.  Germany.  https://doi.org/10.1140/epjc/s10052-017-5465-6

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                    Chouika, N., Mezrag, C., Moutarde, H., and Rodríguez-Quintero, J. Tue .  
"Covariant extension of the GPD overlap representation at low Fock states".  Germany.  https://doi.org/10.1140/epjc/s10052-017-5465-6.

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@article{osti_1414883,

  title        = {Covariant extension of the GPD overlap representation at low Fock states},

  author       = {Chouika, N. and Mezrag, C. and Moutarde, H. and Rodríguez-Quintero, J.},

  abstractNote = {Here, we present a novel approach to compute generalized parton distributions within the lightfront wave function overlap framework. We show how to systematically extend generalized parton distributions computed within the DGLAP region to the ERBL one, fulfilling at the same time both the polynomiality and positivity conditions. We exemplify our method using pion lightfront wave functions inspired by recent results of non-perturbative continuum techniques and algebraic nucleon lightfront wave functions. We also test the robustness of our algorithm on reggeized phenomenological parameterizations. This approach paves the way to a better understanding of the nucleon structure from non-perturbative techniques and to a unification of generalized parton distributions and transverse momentum dependent parton distribution functions phenomenology through lightfront wave functions.},

  doi          = {10.1140/epjc/s10052-017-5465-6},

  journal      = {European Physical Journal. C, Particles and Fields},

  number       = 12,

  volume       = 77,

  place        = {Germany},

  year         = {Tue Dec 26 00:00:00 EST 2017},

  month        = {Tue Dec 26 00:00:00 EST 2017}

}

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Title: Covariant extension of the GPD overlap representation at low Fock states

Abstract

Citation Formats

GPD phenomenology and DVCS fitting: Entering the high-precision era journal, June 2016

Implication of the overlap representation for modelling generalized parton distributions journal, February 2008

Generalized parton distributions in the valence region from deeply virtual compton scattering journal, May 2013

Symmetries and structure of skewed and double distributions journal, March 1999

Uniqueness and Nonuniqueness for the Radon Transform journal, May 1982

Deeply virtual Compton scattering journal, June 1997

Twist-three analysis of photon electroproduction off the pion journal, November 2001

Nucleon form factors from generalized parton distributions journal, September 2005

Continuity of the radon transform and its inverse on Euclidean space journal, June 1983

Support theorems for real-analytic Radon transforms journal, December 1987

The overlap representation of skewed quark and gluon distributions journal, February 2001

Generalized parton distributions of the pion in chiral quark models and their QCD evolution journal, February 2008

From Bethe–Salpeter Wave functions to Generalised Parton Distributions journal, June 2016

Off-forward parton distributions journal, July 1998

Imaging Dynamical Chiral-Symmetry Breaking: Pion Wave Function on the Light Front journal, March 2013

Positivity constraints for off-forward parton distributions journal, March 1999

Solution of polynomiality and positivity constraints on generalized parton distributions journal, February 2003

Light-front holographic QCD and emerging confinement journal, July 2015

The role of the quark and gluon GPDs in hard vector-meson electroproduction journal, November 2007

Inequalities for generalized parton distributions H and E journal, March 2002

Vector-meson electroproduction at small Bjorken-x and generalized parton distributions journal, August 2005

Dual parametrization of GPDs versus the double distribution Ansatz journal, April 2009

Skewed and double distributions in the pion and the nucleon journal, November 1999

Crossing and Radon tomography for generalized parton distributions journal, June 2001

Deeply virtual Compton scattering at small and the access to the GPD H journal, December 2010

On the determination of functions from their integral values along certain manifolds journal, December 1986

Evolution and models for skewed parton distributions journal, March 2000

An attempt to understand exclusive π + electroproduction journal, November 2009

Sketching the pion's valence-quark generalised parton distribution journal, February 2015

Double distributions: Loose ends journal, September 2004

Wave Functions, Evolution Equations and Evolution Kernels from Light-Ray Operators of QCD journal, January 1994

Complex conformal spin partial wave expansion of generalized parton distributions and distribution amplitudes journal, April 2006

Regularization Tools version 4.0 for Matlab 7.3 journal, November 2007

Nonforward parton distributions journal, November 1997

Test of two new parametrizations of the generalized parton distribution H journal, July 2013

Basic features of the pion valence-quark distribution function journal, October 2014

Generalized parton distributions and their singularities journal, April 2011

Modeling nucleon generalized parton distributions journal, May 2013

Generalized parton distributions at x → 1 journal, March 2004

Hard exclusive reactions and the structure of hadrons journal, January 2001

Generalized parton distributions journal, December 2003

Exclusive production of pion pairs in γ*γ collisions at large Q2 journal, September 2000

Hard exclusive electroproduction of two pions and their resonances journal, August 1999

Triangle: Engineering a 2D quality mesh generator and Delaunay triangulator book, January 1996

A Uniqueness Theorem and a Problem on Integration journal, January 1958

Probing Partonic Structure in γ * γ → π π near Threshold journal, August 1998

Flexible parametrization of generalized parton distributions from deeply virtual Compton scattering observables journal, August 2011

Disentangling positivity constraints for generalized parton distributions journal, June 2002

Unraveling hadron structure with generalized parton distributions journal, October 2005

GPD phenomenology and DVCS fitting: Entering the high-precision era
journal, June 2016

Implication of the overlap representation for modelling generalized parton distributions
journal, February 2008

Generalized parton distributions in the valence region from deeply virtual compton scattering
journal, May 2013

Symmetries and structure of skewed and double distributions
journal, March 1999

Uniqueness and Nonuniqueness for the Radon Transform
journal, May 1982

Deeply virtual Compton scattering
journal, June 1997

Twist-three analysis of photon electroproduction off the pion
journal, November 2001

Nucleon form factors from generalized parton distributions
journal, September 2005

Continuity of the radon transform and its inverse on Euclidean space
journal, June 1983

Support theorems for real-analytic Radon transforms
journal, December 1987

The overlap representation of skewed quark and gluon distributions
journal, February 2001

Generalized parton distributions of the pion in chiral quark models and their QCD evolution
journal, February 2008

From Bethe–Salpeter Wave functions to Generalised Parton Distributions
journal, June 2016

Off-forward parton distributions
journal, July 1998

Imaging Dynamical Chiral-Symmetry Breaking: Pion Wave Function on the Light Front
journal, March 2013

Positivity constraints for off-forward parton distributions
journal, March 1999

Solution of polynomiality and positivity constraints on generalized parton distributions
journal, February 2003

Light-front holographic QCD and emerging confinement
journal, July 2015

The role of the quark and gluon GPDs in hard vector-meson electroproduction
journal, November 2007

Inequalities for generalized parton distributions H and E
journal, March 2002

Vector-meson electroproduction at small Bjorken-x and generalized parton distributions
journal, August 2005

Dual parametrization of GPDs versus the double distribution Ansatz
journal, April 2009

Skewed and double distributions in the pion and the nucleon
journal, November 1999

Crossing and Radon tomography for generalized parton distributions
journal, June 2001

Deeply virtual Compton scattering at small and the access to the GPD H
journal, December 2010

On the determination of functions from their integral values along certain manifolds
journal, December 1986

Evolution and models for skewed parton distributions
journal, March 2000

An attempt to understand exclusive π + electroproduction
journal, November 2009

Sketching the pion's valence-quark generalised parton distribution
journal, February 2015

Double distributions: Loose ends
journal, September 2004

Wave Functions, Evolution Equations and Evolution Kernels from Light-Ray Operators of QCD
journal, January 1994

Complex conformal spin partial wave expansion of generalized parton distributions and distribution amplitudes
journal, April 2006

Regularization Tools version 4.0 for Matlab 7.3
journal, November 2007

Nonforward parton distributions
journal, November 1997

Test of two new parametrizations of the generalized parton distribution $H$
journal, July 2013

Basic features of the pion valence-quark distribution function
journal, October 2014

Generalized parton distributions and their singularities
journal, April 2011

Modeling nucleon generalized parton distributions
journal, May 2013

Generalized parton distributions at $\vec{x} 1$
journal, March 2004

Hard exclusive reactions and the structure of hadrons
journal, January 2001

Generalized parton distributions
journal, December 2003

Exclusive production of pion pairs in γ*γ collisions at large Q2
journal, September 2000

Hard exclusive electroproduction of two pions and their resonances
journal, August 1999

Triangle: Engineering a 2D quality mesh generator and Delaunay triangulator
book, January 1996

A Uniqueness Theorem and a Problem on Integration
journal, January 1958

Probing Partonic Structure in $γ^{*} γ \to π π$ near Threshold
journal, August 1998

Flexible parametrization of generalized parton distributions from deeply virtual Compton scattering observables
journal, August 2011

Disentangling positivity constraints for generalized parton distributions
journal, June 2002

Unraveling hadron structure with generalized parton distributions
journal, October 2005