Running coupling effects for the singlet structure function g1 at small x

Ermolaev, B. I.; Greco, Mario; Troyan, S. I.

doi:10.1016/j.physletb.2003.11.016

Cited by 28 publications

(32 citation statements)

References 24 publications

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“…Finally, we note that in Ref. [158] the leading small x logarithms were combined with DGLAP evolution, and some effects of running coupling were addressed in [159].…”

Section: Scaling Violations In Inclusive Dis and Their Impact On ∆G(x)mentioning

confidence: 99%

Gluons and the quark sea at high energies: distributions, polarization, tomography

Boer¹,

Diehl²,

Milner³

et al. 2011

198

291

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ForewordThe study of the fundamental structure of nuclear matter is a central thrust of physics research in the United States. As indicated in Frontiers of Nuclear Science, the 2007 Nuclear Science Advisory Committee long range plan, consideration of a future Electron-Ion Collider (EIC) is a priority and will likely be a significant focus of discussion at the next long range plan. We are therefore pleased to have supported the ten week program in fall 2010 at the Institute of Nuclear Theory which examined at length the science case for the EIC. This program was a major effort; it attracted the maximum allowable attendance over ten weeks.This report summarizes the current understanding of the physics and articulates important open questions that can be addressed by an EIC. It converges towards a set of "golden" experiments that illustrate both the science reach and the technical demands on such a facility, and thereby establishes a firm ground from which to launch the next phase in preparation for the upcoming long range plan discussions. We thank all the participants in this productive program. In particular, we would like to acknowledge the leadership and dedication of the five co-organizers of the program who are also the co-editors of this report.David Kaplan, Director, National Institute for Nuclear Theory Hugh Montgomery, Director, Thomas Jefferson National Accelerator Facility Steven Vigdor, Associate Lab Director, Brookhaven National Laboratory iii Preface This volume is based on a ten-week program on "Gluons and the quark sea at high energies", which took place at the Institute for Nuclear Theory (INT) in Seattle from September 13 to November 19, 2010. The principal aim of the program was to develop and sharpen the science case for an Electron-Ion Collider (EIC), a facility that will be able to collide electrons and positrons with polarized protons and with light to heavy nuclei at high energies, offering unprecedented possibilities for in-depth studies of quantum chromodynamics. Guiding questions were• What are the crucial science issues?• How do they fit within the overall goals for nuclear physics?• Why can't they be addressed adequately at existing facilities?• Will they still be interesting in the 2020's, when a suitable facility might be realized?The program started with a five-day workshop on "Perturbative and Non-Perturbative Aspects of QCD at Collider Energies", which was followed by eight weeks of regular program and a concluding four-day workshop on "The Science Case for an EIC".More than 120 theorists and experimentalists took part in the program over ten weeks. It was only possible to smoothly accommodate such a large number of participants because of the extraordinary efforts of the INT staff, to whom we extend our warm thanks and appreciation. We thank the INT Director, David Kaplan, for his strong support of the program and for covering a significant portion of the costs for printing this volume. We gratefully acknowledge additional financial support provided by BNL and JLab.The program w...

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“…Finally, we note that in Ref. [158] the leading small x logarithms were combined with DGLAP evolution, and some effects of running coupling were addressed in [159].…”

Section: Scaling Violations In Inclusive Dis and Their Impact On ∆G(x)mentioning

confidence: 99%

Gluons and the quark sea at high energies: distributions, polarization, tomography

Boer¹,

Diehl²,

Milner³

et al. 2011

198

291

View full text Add to dashboard Cite

show abstract

“…The small-x generalization of DGLAP for the spin-dependent structure function g 1 and the non-singlet component of F 1 was obtained in Ref. [3] and the region of arbitrary x and Q 2 for these structure functions was considered in Ref. [4].…”

Section: Collinear Factorizationmentioning

confidence: 99%

“…However, it differs from both Collinear and k T -factorizations (see Eqs. (3,4)) by the presence of the extra integration over α, so we call it Basic factorization. Now we convert Basic factorization into conventional factorizations.…”

Section: Basic Factorizationmentioning

confidence: 99%

Relations between Collinear and kT factorizations

Ermolaev

Greco²,

Troyan

2014

AIP Conference Proceedings

115

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On the relation between collinear and three dimensional rate constants associated with vibrational energy transfer in diatom-diatom collisions J. Chem. Phys. 72, 1945 10.1063/1.439340 Relations between the deuteron form factors and the wave functions AIP Conf. Proc. 41, 555 (1978); 10.1063/1.31247On the relation between collinear and three dimensional collision rates with applications to vibrational energy transfer Abstract. Collinear and k T -factorizations were introduced from different theoretical considerations and for different perturbative methods. We demonstrate that they both can be obtained from a more general factorization. We prove that they can be related to each other with imposing a simple assumption for the unintegrated parton distributions.

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“…x was considered before for the t-channel quark exchange amplitudes [21][22][23][24][25][26][27]. For helicity evolution it was first applied by Bartels, Ermolaev and Ryskin (BER) in [28,29] (see also [30][31][32][33]). (The DLA parameter α s ln 2 1…”

mentioning

confidence: 99%

Small-x asymptotics of the gluon helicity distribution

Kovchegov

Pitonyak

Sievert

2017

J. High Energ. Phys.

232

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Abstract:We determine the small-x asymptotics of the gluon helicity distribution in a proton at leading order in perturbative QCD at large N c . To achieve this, we begin by evaluating the dipole gluon helicity TMD at small x. In the process we obtain an interesting new result: in contrast to the unpolarized dipole gluon TMD case, the operator governing the small-x behavior of the dipole gluon helicity TMD is different from the operator corresponding to the polarized dipole scattering amplitude (used in our previous work to determine the small-x asymptotics of the quark helicity distribution). We then construct and solve novel small-x large-N c evolution equations for the operator related to the dipole gluon helicity TMD. Our main result is the small-x asymptotics for the gluon helicity distribution: ∆G ∼

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Running coupling effects for the singlet structure function g1 at small x

Cited by 28 publications

References 24 publications

Gluons and the quark sea at high energies: distributions, polarization, tomography

Gluons and the quark sea at high energies: distributions, polarization, tomography

Relations between Collinear and kT factorizations

Small-x asymptotics of the gluon helicity distribution

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