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We summarize recent progress in the resummation of perturbative evolution at small x. We show that the problem of incorporating BFKL small x logs in GLAP evolution is now completely solved, and that the main effect of small x resummation is…

High Energy Physics - Phenomenology · Physics 2017-08-23 Stefano Forte , Guido Altarelli , Richard D. Ball

We consider the (process-independent) Green function for the BFKL equation in the next-to-leading order approximation, with running coupling, and explain how, within the semi-classical approximation, it is related to Green function of the…

High Energy Physics - Phenomenology · Physics 2015-06-18 Henri Kowalski , Lev Lipatov , Douglas Ross

We developed a general non-perturbative framework for the BFKL spectrum of planar N=4 SYM, based on the Quantum Spectral Curve (QSC). It allows one to study the spectrum in the whole generality, extending previously known methods to…

High Energy Physics - Theory · Physics 2018-08-15 Mikhail Alfimov , Nikolay Gromov , Grigory Sizov

To find the region of applicability of the leading log(1/x) approximation for parton distributions in the small x region and to fix the argument of the QCD running coupling it is necessary to know radiative corrections to the kernel of the…

High Energy Physics - Phenomenology · Physics 2008-02-03 V. S. Fadin , M. I. Kotsky , L. N. Lipatov

We construct an anomalous dimension for small x evolution which goes beyond standard fixed order perturbative evolution by including resummed small x logarithms deduced from the leading order BFKL equation with running coupling.…

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

The low $x$ limit of deep inelastic electron proton scattering is considered using methods of perturbative QCD. In the first part we investigate the phenomenological consequences of the resummation of leading logarithms in $1/x$ given by…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. Lotter

Extending the work by Bukhvostov, Frolov, Lipatov and Kuraev (BFLK) on the renormalization of quasipartonic operators we derive a complete set of two-particle renormalization group kernels that enter QCD evolution equations to twist-four…

High Energy Physics - Phenomenology · Physics 2009-11-18 V. M. Braun , A. N. Manashov , J. Rohrwild

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

The next-to-leading order (NLO) evolution of the parton distribution functions (PDF's) in QCD is the "industry standard" in the lepton-hadron and hadron-hadron collider data analysis. The standard NLO DGLAP evolution is formulated for…

High Energy Physics - Phenomenology · Physics 2009-10-02 S. Jadach , M. Skrzypek

Color quadrupoles have been found to be important in the proper description of observables sensitive to the small-x regime in nuclei as well as in the operator definition of the Weizs\"acker-Williams gluon distribution. In this paper, we…

High Energy Physics - Phenomenology · Physics 2015-05-30 Fabio Dominguez , A. H. Mueller , Stéphane Munier , Bo-Wen Xiao

An iterative solution best suited for a Monte Carlo implementation is presented for the non-forward BFKL equation in a generic color representation. We introduce running coupling effects compatible with bootstrap to all orders in…

High Energy Physics - Phenomenology · Physics 2012-06-12 G. Chachamis , A. Sabio Vera , C. Salas

We calculate the transverse momentum dependent gluon-to-gluon splitting function within $k_T$-factorization, generalizing the framework employed in the calculation of the quark splitting functions in [1-3] and demonstrate at the same time…

High Energy Physics - Phenomenology · Physics 2018-03-07 M. Hentschinski , A. Kusina , K. Kutak , M. Serino

This work investigates the behavior of hadronic matter in the high-energy Regge-Gribov (semi-hard) regime of Quantum Chromodynamics (QCD), accessible through current and future colliders such as the LHC, EIC, and FCC. Central to the…

High Energy Physics - Phenomenology · Physics 2025-06-05 Gabriele Gatto

We perform a global fit to the structure function F_2 measured in lepton-proton experiments at small values of Bjorken-x, x\le 0.01, for all experimentally available values of Q^2, 0.045 GeV^2\le Q^2 \le 800 GeV^2. We show that the recent…

High Energy Physics - Phenomenology · Physics 2009-09-01 J. L. Albacete , N. Armesto , J. G. Milhano , C. A. Salgado

The differences between two standard Monte Carlo models, Lepto and Ariadne, for deep inelastic scattering at small-x is analysed in detail. It is shown that the difference arises from a `unorthodox' suppression factor used in Ariadne which…

High Energy Physics - Phenomenology · Physics 2009-10-30 J. Rathsman

We study parton-branching solutions of QCD evolution equations and present a method to construct both collinear and transverse momentum dependent (TMD) parton densities from this approach. We work with next-to-leading-order (NLO) accuracy…

High Energy Physics - Phenomenology · Physics 2018-02-14 F. Hautmann , H. Jung , A. Lelek , V. Radescu , R. Zlebcik

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

We discuss the BFKL approach to processes with large momentum transferred through a rapidity gap. The Mueller and Tang scheme to the BFKL non-forward parton-parton elastic scattering amplitude at large $t$, is extended to include higher…

High Energy Physics - Phenomenology · Physics 2009-11-07 L. Motyka , A. D. Martin , M. G. Ryskin

The dependence of the subprocess cross section for dijet production at fixed transverse momentum on the (large) rapidity separation Delta y of the dijets can be used to test for `BFKL physics', i.e. the presence of higher--order (alphas…

High Energy Physics - Phenomenology · Physics 2009-10-31 Lynne H. Orr , W. J. Stirling

We study a model describing electrons coupled to anti-ferromagnetic spin fluctuations, and consider the situation where hedgehog defects in the order parameter field are suppressed. Without hedgehogs, the bosonic sector of the theory can be…

Strongly Correlated Electrons · Physics 2026-05-15 Xu Zhang , Nick Bultinck
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