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We discuss the inclusion of running coupling effects in perturbative small x evolution equations. We show that a running coupling BFKL-like x-evolution equation is fully compatible, up to higher twist corrections, with the standard…

High Energy Physics - Phenomenology · Physics 2008-11-26 Guido Altarelli , Richard D. Ball , Stefano Forte

We propose the inclusive semi-hard production, in proton-proton collisions, of two bottom-flavored hadrons, as well as of a single bottom-flavored hadron accompanied by a light jet, as novel channels for the manifestation of stabilization…

High Energy Physics - Phenomenology · Physics 2021-12-09 Francesco Giovanni Celiberto , Michael Fucilla , Dmitry Yu. Ivanov , Mohammed M. A. Mohammed , Alessandro Papa

I review recent developments in the study of the low-x partonic content of protons and nuclei, with a focus on the latter, as one expects possible deviations from linear QCD evolution to be most pronounced in that case. I give examples of…

High Energy Physics - Phenomenology · Physics 2020-07-15 Thomas Peitzmann

The next-to-leading order (NLO) corrections to the BFKL equation in the BLM optimal scale setting are briefly discussed. A striking feature of the BLM approach is rather weak Q^2-dependence of the Pomeron intercept, which might indicate an…

High Energy Physics - Phenomenology · Physics 2016-11-23 Victor T. Kim , Lev N. Lipatov , Grigorii B. Pivovarov

I present some comments on the partonic interpretation of the HERA data on the proton structure function. The effects of the resummation of the leading and next-to-leading $\ln x$-contributions are discussed. A new factorization scheme, in…

High Energy Physics - Phenomenology · Physics 2009-09-25 Stefano Catani

We propose a modified Balitsky-Fadin-Kuraev-Lipatov equation from the viewpoint of the resummation technique, which contains an intrinsic dependence on momentum transfer Q, and satisfies the unitarity bound. The idea is to relax the strong…

High Energy Physics - Phenomenology · Physics 2016-09-06 Hsiang-nan Li

The asymptotic freedom is known to split the leading-$\log$ BFKL pomeron into a series of isolated poles in the complex angular momentum plane. One of our earlier findings was that the subleading hard BFKL exchanges decouple from such…

High Energy Physics - Phenomenology · Physics 2009-12-22 R. Fiore , N. N. Nikolaev , V. R. Zoller

The next-to-leading order (NLO) corrections to the BFKL equation in the BLM optimal scale setting are briefly discussed. A striking feature of the BLM approach is rather weak Q^2-dependence of the Pomeron intercept, which might indicate an…

High Energy Physics - Phenomenology · Physics 2007-05-23 Victor T. Kim , Lev N. Lipatov , Grigorii B. Pivovarov

The deep inelastic scattering data on the nucleon F_2 structure function, accumulated by BCDMS, SLAC and NMC collaborations in fixed-target experiments, are analyzed in the non-singlet approximation within the frameworks of both…

High Energy Physics - Phenomenology · Physics 2024-03-21 A. V. Kotikov , B. G. Shaikhatdenov , N. S. Korchagin , P. Zhang

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 in the range of future linear colliders. The BFKL resummation is done at the next-to-leading order…

High Energy Physics - Phenomenology · Physics 2008-12-18 Francesco Caporale , Dmitry Yu. Ivanov , Alessandro Papa

On the basis of previous work by Fadin, Lipatov, and collaborators, and of our group, we extract the "irreducible" part of the next-to-leading (NL) BFKL kernel, we compute its (IR finite) eigenvalue function, and we discuss its implications…

High Energy Physics - Phenomenology · Physics 2009-10-30 G. Camici , M. Ciafaloni

I review recent results by Fadin,Lipatov and collaborators and by our group,leading to the almost complete calculation of the next-to-leading BFKL kernel,of its eigenvalues,and of the resummed gluon anomalous dimension. Qualitative…

High Energy Physics - Phenomenology · Physics 2007-05-23 Marcello Ciafaloni

It is shown that the CKMT model for the nucleon structure function F2, taken as the initial condition for the NLO evolution equations in perturbative QCD, provides a good description of the HERA data when presented in the form of the…

High Energy Physics - Phenomenology · Physics 2009-01-07 A. B. Kaidalov , C. Merino , D. Pertermann

We investigate the effect of the resummation of collinear double logarithms in the BFKL gluon Green function using the Monte Carlo event generator BFKLex. The resummed collinear terms in transverse momentum space were calculated in Ref. [1]…

High Energy Physics - Phenomenology · Physics 2016-04-13 G. Chachamis , A. Sabio Vera

The procedure to improve the convergence in transverse momentum space of the NLL BFKL kernel using a w-shift is revisited. An accurate approximation to this shift only depending on transverse momenta is presented. This approximation is…

High Energy Physics - Phenomenology · Physics 2008-11-26 Agustin Sabio Vera

The drastic rise of the proton structure function F_2(x,Q^2) when the Bj\"orken variable x decreases, seen at HERA for a large span of Q^2, negative values for the 4-momentum transfer, may be damped when Q^2 increases beyond several…

High Energy Physics - Phenomenology · Physics 2014-11-17 P. Desgrolard , A. Lengyel , E. Martynov

We calculate the leading order BFKL amplitude for the exclusive diffractive process \gamma*_L(Q1^2) \gamma*_L(Q2^2) \to \rho_L^0 \rho_L^0 in the forward direction, which can be studied in future high energy e^+e^- linear colliders. The…

High Energy Physics - Phenomenology · Physics 2014-11-18 R. Enberg , B. Pire , L. Szymanowski , S. Wallon

We apply our systematic NLO small x resummation of singlet splitting functions to the scaling violations of structure functions and compare the results with data. We develop various theoretical tools which are needed in order to relate…

High Energy Physics - Phenomenology · Physics 2008-11-26 Guido Altarelli , Richard D. Ball , Stefano Forte

We perform a detailed analysis of the different forms of the kinematical constraint imposed on the low $x$ evolution that appear in the literature. We find that all of them generate the same leading anti-collinear poles in Mellin space…

High Energy Physics - Phenomenology · Physics 2019-09-04 Michal Deak , Krzysztof Kutak , Wanchen Li , Anna M. Staśto

The recently-proposed resummation procedure for anti-collinear logarithms in the JIMWLK kernel~\cite{Kovner:2023vsy} is studied in the linear (BFKL) regime in the fixed-coupling approximation. Simple closed form expressions for the resummed…

High Energy Physics - Phenomenology · Physics 2026-01-06 Alex Kovner , Michael Lublinsky , Maxim Nefedov , Vladimir Skokov