Covariant extension of the GPD overlap representation at low Fock states

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 an...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2017-12, Vol.77 (12), p.1-30, Article 906
Main Authors: Chouika, N., Mezrag, C., Moutarde, H., Rodríguez-Quintero, J.
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Cosmology
Computer Science
Distribution (Probability theory)
Distribution functions
Elementary Particles
Fock state
Functions (mathematics)
Hadrons
Heavy Ions
High Energy Physics - Phenomenology
Mathematical analysis
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Nuclear Theory
Phenomenology
Physics
Physics and Astronomy
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
String Theory
Transverse momentum
Wave functions
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Summary: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.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-017-5465-6