Next-to-leading and resummed BFKL evolution with saturation boundary

doi:https://doi.org/10.1007/JHEP10(2011)138

Title: Next-to-leading and resummed BFKL evolution with saturation boundary

Full Record
Other Related Research

Abstract

We investigate the effects of the saturation boundary on small-x evolution at the next-to-leading order accuracy and beyond. We demonstrate that the instabilities of the next-to-leading order BFKL evolution are not cured by the presence of the nonlinear saturation effects, and a resummation of the higher order corrections is therefore needed for the nonlinear evolution. The renormalization group improved resummed equation in the presence of the saturation boundary is investigated, and the corresponding saturation scale is extracted. A significant reduction of the saturation scale is found, and we observe that the onset of the saturation corrections is delayed to higher rapidities. This seems to be related to the characteristic feature of the resummed splitting function which at moderately small values of x possesses a minimum.

Authors:: Avsar, E; Stasto, A; Triantafyllopoulos, D N; Zaslavsky, D

Publication Date:: 2011-10-28

Research Org.:: Brookhaven National Laboratory (BNL) Riken BNL Research Center

Sponsoring Org.:: USDOE SC OFFICE OF SCIENCE (SC)

OSTI Identifier:: 1050421

Report Number(s):: BNL-96839-2012-JA
R&D Project: PO-3; TRN: US1204639

DOE Contract Number:: DE-AC02-98CH10886

Resource Type:: Journal Article

Journal Name:: Journal of High Energy Physics

Additional Journal Information:: Journal Volume: 2011; Journal Issue: 10

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ACCURACY; RENORMALIZATION; SATURATION; Deep Inelastic Scattering; Hadronic Colliders; QCD; riken bnl research center

Citation Formats


                    Avsar, E, Stasto, A, Triantafyllopoulos, D N, and Zaslavsky, D. Next-to-leading and resummed BFKL evolution with saturation boundary.  United States: N. p., 2011. 
        Web.  doi:10.1007/JHEP10(2011)138.

Copy to clipboard


                    Avsar, E, Stasto, A, Triantafyllopoulos, D N, & Zaslavsky, D. Next-to-leading and resummed BFKL evolution with saturation boundary.  United States.  https://doi.org/10.1007/JHEP10(2011)138

Copy to clipboard


                    Avsar, E, Stasto, A, Triantafyllopoulos, D N, and Zaslavsky, D. Fri .  
        "Next-to-leading and resummed BFKL evolution with saturation boundary".  United States.  https://doi.org/10.1007/JHEP10(2011)138.

Copy to clipboard


                    
@article{osti_1050421,

  title        = {Next-to-leading and resummed BFKL evolution with saturation boundary},

  author       = {Avsar, E and Stasto, A and Triantafyllopoulos, D N and Zaslavsky, D},

  abstractNote = {We investigate the effects of the saturation boundary on small-x evolution at the next-to-leading order accuracy and beyond. We demonstrate that the instabilities of the next-to-leading order BFKL evolution are not cured by the presence of the nonlinear saturation effects, and a resummation of the higher order corrections is therefore needed for the nonlinear evolution. The renormalization group improved resummed equation in the presence of the saturation boundary is investigated, and the corresponding saturation scale is extracted. A significant reduction of the saturation scale is found, and we observe that the onset of the saturation corrections is delayed to higher rapidities. This seems to be related to the characteristic feature of the resummed splitting function which at moderately small values of x possesses a minimum.},

  doi          = {10.1007/JHEP10(2011)138},

  url          = {https://www.osti.gov/biblio/1050421},
  journal      = {Journal of High Energy Physics},
number       = 10,

  volume       = 2011,

  place        = {United States},

  year         = {2011},

  month        = {10}

}

Copy to clipboard

Journal Article:

https://doi.org/10.1007/JHEP10(2011)138

Other availability

Find in Google Scholar

Search WorldCat to find libraries that may hold this journal

Save / Share:

Export Metadata

Save to My Library

Similar records in OSTI.GOV collections:

Spread of the gluon k{sub t} distribution and the determination of the saturation scale at hadron colliders in the resummed next-to-leading logarithmic BFKL evolution

Journal Article Khoze, V A ; Ryskin, M G ; Petersburg Nuclear Physics Institute, Gatchina, St. Petersburg, 188300 ; ... - Physical Review. D, Particles Fields

The transverse momentum distribution of soft hadrons and jets that accompany central hard-scattering production at hadron colliders is of great importance, since it has a direct bearing on the ability to separate new-physics signals from Standard Model backgrounds. We compare the predictions for the gluonic k{sub t}-distribution using two different approaches: resummed Next-to-Leading-Logarithm (NLL) Balitsky-Fadin-Kuraev-Lipatov (BFKL) and Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution. We find that as long as the initial and final virtualities (k{sub t}) along the emission chain are not too close to each other, the NLL resummed BFKL results do not differ significantly from those obtained using standard DGLAP evolution.more »« less
https://doi.org/10.1103/PhysRevD.70.074013
Global fit to scattering data with next-to-leading logarithmic BFKL resummations

Journal Article White, C D ; Thorne, R S - Physical Review. D, Particles Fields

We calculate deep inelastic scattering (DIS) scheme splitting and coefficient functions for electromagnetic DIS with small x resummations, as given by the next-to-leading-logarithmic Balitsky-Fadin-Kuraev-Lipatov (NLL BFKL) equation with running coupling and approximate NLL resummed impact factors. The resummations are combined with a next-to-leading order (NLO) fixed-order expansion, and the improved quantities thus obtained are stable at small x and significantly suppressed with respect to leading logarithmic (LL) results. These results are implemented in a global fit to DIS and related data, and the results compared to a NLO fixed-order DIS scheme fit and with a previous LL resummed fit. Themore »« less
https://doi.org/10.1103/PHYSREVD.75.034005
Resumming double logarithms in the QCD evolution of color dipoles

Journal Article Iancu, E. ; Madrigal, J. D. ; Mueller, A. H. ; ... - Physics Letters B

The higher-order perturbative corrections, beyond leading logarithmic accuracy, to the BFKL evolution in QCD at high energy are well known to suffer from a severe lack-of-convergence problem, due to radiative corrections enhanced by double collinear logarithms. Via an explicit calculation of Feynman graphs in light cone (time-ordered) perturbation theory, we show that the corrections enhanced by double logarithms (either energy-collinear, or double collinear) are associated with soft gluon emissions which are strictly ordered in lifetime. These corrections can be resummed to all orders by solving an evolution equation which is non-local in rapidity. This equation can be equivalently rewritten inmore »« less
Cited by 44
https://doi.org/10.1016/j.physletb.2015.03.068
Proton structure functions at small x

Journal Article Hentschinski, Martin - Journal of Physics. Conference Series

Proton structure functions are measured in electron-proton collision through inelastic scattering of virtual photons with virtuality Q on protons; x denotes the momentum fraction carried by the struck parton. Proton structure functions are currently described with excellent accuracy in terms of scale dependent parton distribution functions, defined in terms of collinear factorization and DGLAP evolution in Q. With decreasing x however, parton densities increase and are ultimately expected to saturate. In this regime DGLAP evolution will finally break down and non-linear evolution equations w.r.t x are expected to take over. In the first part of the talk we present recentmore »« less
https://doi.org/10.1088/1742-6596/651/1/012011

Full Text Available
Taming of preasymptotic small x evolution within resummation framework

Journal Article Deak, Michal ; Frankfurt, Leonid ; Staśto, Anna M. ; ... - European Physical Journal. C, Particles and Fields

It is well understood that the leading logarithmic approximation for the amplitudes of high energy processes is insufficient and that the next-to-leading logarithmic effects are very large and lead to instability of the solution. The resummation at low x, which includes kinematical constraints and other corrections leads to stable result. Using previously established resummation procedure we study in detail the preasymptotic effects which occur in the solution to the resummed BFKL equation when the energy is not very large. We find that in addition to the well known reduction of the intercept, which governs the energy dependence of the gluonmore »« less
https://doi.org/10.1140/epjc/s10052-020-7861-6

Similar Records