Some numerical studies of the evolution of generalized parton distributions

Diehl, Markus; Kugler, W.

doi:10.1016/j.physletb.2007.12.047

Cited by 26 publications

(24 citation statements)

References 43 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Evidence that such a correlation is appreciable for x above 0.1 comes from the calculation of the Mellin moments dx x n−1 f q (x; b)+(−1) n fq(x; b) with n = 1, 2, 3 in lattice QCD, see [100, section 4.4.5] and references therein. The interpretation of HERA measurements [101,102] for γp → J/Ψ p in terms of generalized parton distributions shows that the average squared impact parameter b 2 of small-x gluons in the proton has a weak logarithmic dependence on x [73,103,104]. An estimate of how a correlation between x and b in f c (x; b) affects multiparton interactions has been made in [105].…”

Section: Jhep03(2012)089mentioning

confidence: 99%

Elements of a theory for multiparton interactions in QCD

Diehl

Ostermeier

Schäfer

2012

J. High Energ. Phys.

262

564

View full text Add to dashboard Cite

We perform a detailed investigation of multiple hard interactions in hadronhadron collisions. We discuss the space-time, spin and color structure of multiple interactions, classify different contributions according to their power behavior and provide several elements required for establishing all-order factorization. This also allows us to analyze the structure of Sudakov logarithms in double hard scattering. We show how multiparton distributions can be constrained by connecting them with generalized parton distributions and by calculating their behavior at large transverse parton momenta.

show abstract

Section: Jhep03(2012)089mentioning

confidence: 99%

Elements of a theory for multiparton interactions in QCD

Diehl

Ostermeier

Schäfer

2012

J. High Energ. Phys.

262

564

View full text Add to dashboard Cite

show abstract

“…As a consequence of perturbative evolution, the skewness ratio at ϑ = 1 will typically increase with growing Q 2 , for examples see ref. [84]. It is known since more than one decade that to leading order accuracy in the collinear factorization approach such a GPD model can not simultaneously describe the DVCS and DIS collider data from the H1 and ZEUS collaborations [23].…”

Section: Jhep03(2015)052mentioning

confidence: 99%

Dual parametrization of generalized parton distributions in two equivalent representations

Müller

Polyakov

Semenov-Tian-Shansky

2015

J. High Energ. Phys.

View full text Add to dashboard Cite

Abstract:The dual parametrization and the Mellin-Barnes integral approach represent two frameworks for handling the double partial wave expansion of generalized parton distributions (GPDs) in the conformal partial waves and in the t-channel SO(3) partial waves. Within the dual parametrization framework, GPDs are represented as integral convolutions of forward-like functions whose Mellin moments generate the conformal moments of GPDs. The Mellin-Barnes integral approach is based on the analytic continuation of the GPD conformal moments to the complex values of the conformal spin. GPDs are then represented as the Mellin-Barnes-type integrals in the complex conformal spin plane. In this paper we explicitly show the equivalence of these two independently developed GPD representations. Furthermore, we clarify the notions of the J = 0 fixed pole and the D-form factor. We also provide some insight into GPD modeling and map the phenomenologically successful Kumerički-Müller GPD model to the dual parametrization framework by presenting the set of the corresponding forward-like functions. We also build up the reparametrization procedure allowing to recast the double distribution representation of GPDs in the Mellin-Barnes integral framework and present the explicit formula for mapping double distributions into the space of double partial wave amplitudes with complex conformal spin.

show abstract

“…The sea quark ratio of the GK07 model (dotted curves) is essentially larger, r sea ≈ 1.3 and rather stable under evolution, too. Note that the successful DVCS description of the GK07 model presumably originates from the interchange of evolution and skewing procedure [38], see numerical examples in [54] and comments in Sect. 3.1 of [41].…”

Section: Fig 1 R-ratio From the H1 (Filled Circles)mentioning

confidence: 99%

A fresh look at exclusive electroproduction of light vector mesons

Meskauskas

Müller

2014

Eur. Phys. J. C

View full text Add to dashboard Cite

Relying on the collinear factorization approach, we demonstrate that H1 and ZEUS measurements of exclusive light vector meson and photon electroproduction cross sections can be simultaneously described for photon virtualities of Q 2 GeV. Our findings reveal that quark exchanges are important in this small x Bj region and that in leading order approximation the gluonic component is suppressed, e.g., the skewness ratio can be much smaller than one.

show abstract

Some numerical studies of the evolution of generalized parton distributions

Cited by 26 publications

References 43 publications

Elements of a theory for multiparton interactions in QCD

Elements of a theory for multiparton interactions in QCD

Dual parametrization of generalized parton distributions in two equivalent representations

A fresh look at exclusive electroproduction of light vector mesons

Contact Info

Product

Resources

About