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Different forms of the BFKL kernel both in coordinate and momentum representations may appear as a result of different gauge choices and/or inner scalar products of the color singlet states. We study a spectral representation of the BFKL…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. P. Vacca

Accurate gluon densities at small $x$ are essential for reducing theoretical uncertainties in collider predictions, yet remain one of the least constrained ingredients in global analyses. We report recent advances in the resummation of…

High Energy Physics - Phenomenology · Physics 2025-12-02 Francesco Giovanni Celiberto , Marco Bonvini

We calculate the Regge trajectories of the subleading BFKL singularities and eigenfunctions for the running BFKL pomeron in the color dipole representation. We obtain a viable BFKL-Regge expansion of the proton structure function…

High Energy Physics - Phenomenology · Physics 2009-10-30 N. N. Nikolaev , B. G. Zakharov , V. R. Zoller

Perturbation Theory to Large Scale Structure Cosmology proposes corrections to the linearly evolved density contrast and velocity in terms of a series development in which all terms are integrals of powers of the linear density contrast…

Cosmology and Nongalactic Astrophysics · Physics 2016-10-25 Paulo Reimberg

We show that it is possible to describe the effective Pomeron intercept using NLO BFKL evolution together with collinear improvements. In order to obtain a good description over the whole range of Q^2 we use a non-Abelian physical…

High Energy Physics - Phenomenology · Physics 2012-12-05 Clara Salas

We investigate factorisation at small x using a variety of analytical and numerical techniques. Previous results on factorisation in collinear models are generalised to the case of the full BFKL equation, and illustrated in the example of a…

High Energy Physics - Phenomenology · Physics 2009-10-31 Marcello Ciafaloni , Dimitri Colferai , Gavin P. Salam

The Balitsky-Fadin-Kuraev-Lipatov (BFKL) evolution equation is known to be ``unstable'' with respect to fluctuations in gluon virtuality, transverse momentum and energy requiring to go beyond the leading order BFKL. Still, these…

High Energy Physics - Phenomenology · Physics 2017-08-23 R. B. Peschanski

Of late, the field of BFKL physics has been the subject of significant developments. The calculation of the NLL terms was recently completed, and they turned out to be very large. Techniques have been proposed to resum these corrections.…

High Energy Physics - Phenomenology · Physics 2014-11-17 Gavin P. Salam

Kwiecinski, Martin, Stasto [13] argue for inclusion of DGLAP terms into BFKL evolution of unintegrated gluon density. The equation was reformulated by Oliveira, Martin, Ryskin [6] employing the opening angle {\theta} = k/xp as the evolution…

High Energy Physics - Phenomenology · Physics 2015-03-11 Dawid Toton

We investigate the energy dependence of the photo-production cross-section of vector mesons $J/\Psi$ and $\Upsilon$, measured by both HERA experiments H1 and ZEUS in electron-proton collisions and by LHC experiments ALICE, CMS and LHCb in…

High Energy Physics - Phenomenology · Physics 2019-08-12 Martin Hentschinski , Krzysztof Kutak

The BFKL equation and the kT-factorization theorem are used to obtain predictions for F2 in the small Bjorken-x region over a wide range of Q**2. The dependence on the parameters, especially on those concerning the infrared region, is…

High Energy Physics - Phenomenology · Physics 2009-10-28 I. Bojak , M. Ernst

We argue that collider observables such as hadron number flux can be matched onto a linear combination of detectors/light-ray operators in perturbative QCD. The spectrum of detectors in QCD is subtle, due to recombination between the DGLAP…

High Energy Physics - Theory · Physics 2025-12-16 Cyuan-Han Chang , Hao Chen , David Simmons-Duffin , Hua Xing Zhu

Total resummation of leading logarithms of x contributing to the spin-dependent structure function g_1 ensures its steep rise at small x. DGLAP lacks such a resummation. Instead, the DGLAP expressions for g_1 are complemented with special…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. I. Ermolaev , M. Greco , S. I. Troyan

We show how perturbation theory may be reorganized to give splitting functions which include order by order convergent sums of all leading logarithms of $x$. This gives a leading twist evolution equation for parton distributions which sums…

High Energy Physics - Phenomenology · Physics 2014-11-17 R. D. Ball , S. Forte

Using the QCD dipole picture of the hard BFKL Pomeron, we perform a 3 parameter fit analysis of the recent inclusive structure function experimental measurements at small-$x$ and intermediate $Q^2$. As a byproduct, the longitudinal…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. Lengyel , M. V. T. Machado

This is a summary of the contributions on the next-to-leading order corrections to the BFKL equation which were presented to the `Small-x and Diffraction' working group at the 1998 Durham Workshop on HERA Physics.

High Energy Physics - Phenomenology · Physics 2010-03-25 J. R. Forshaw , G. P. Salam , R. S. Thorne

Closed expressions are presented for the contributions to QCD non-singlet forward evolution kernels $P(z)$ for the DGLAP equation and to $V(x,y)$ for non-forward (ER-BL) evolution equation for a certain class of diagrams which include…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. V. Mikhailov

We study in the BFKL approach the total hadronic cross section for the collision of two virtual photons for energies in the range of LEP2 and of future linear colliders. The BFKL resummation is done at the next-to-leading order in the BFKL…

High Energy Physics - Phenomenology · Physics 2009-11-13 F. Caporale , D. Yu. Ivanov , A. Papa

The perturbative QCD predicts that the growth of the gluon density at small-$x$ (high energies) should saturate, forming a Color Glass Condensate (CGC), which is described in mean field approximation by the Balitsky-Kovchegov (BK) equation.…

High Energy Physics - Phenomenology · Physics 2014-11-20 M. A. Betemps , V. P. Goncalves , J. T. de Santana Amaral

The very precise combined HERA data provides a testing ground in which the relevance of novel QCD regimes, other than the successful linear DGLAP evolution, in small-x inclusive DIS data can be ascertained. We present a study of the…

High Energy Physics - Phenomenology · Physics 2015-06-04 J. L. Albacete , J. G. Milhano , P. Quiroga-Arias , J. Rojo