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We discuss how the multi-Regge factorisation of QCD amplitudes can be used in the study of multi-jet processes at colliders. We describe how the next-to-leading logarithmic (NLL) BFKL evolution can be combined with energy and momentum…

High Energy Physics - Phenomenology · Physics 2017-08-23 Jeppe R. Andersen

This paper is the first attempt to build CGC/saturation model based on the next-to-leading order corrections to linear and non-linear evolution in QCD. We assume that the renormalization scale is the saturation momentum and found that the…

High Energy Physics - Phenomenology · Physics 2016-12-28 Carlos Contreras , Eugene Levin , Rodrigo Meneses , Irina Potashnikova

We solve the Balitsky-Fadin-Kuraev-Lipatov equation in the next-to-leading logarithmic approximation for forward scattering with all conformal spins using an iterative method.

High Energy Physics - Phenomenology · Physics 2007-05-23 Agustin Sabio Vera

Solutions to the Balitsky-Kovchegov equation are considered which respect an SO(3) subgroup of the conformal group. The symmetry dictates a specific dependence of the saturation scale on the impact parameter. Applications to deep inelastic…

High Energy Physics - Theory · Physics 2013-05-29 Steven S. Gubser

In the paper we propose and solve analytically the non-linear evolution equation in the leading twist approximation for the Odderon contribution. We found three qualitative features of this solution, which differs the Odderon contribution…

High Energy Physics - Phenomenology · Physics 2020-06-24 Carlos Contreras , Eugene Levin , Rodrigo Meneses , Michael Sanhueza

A complete numerical implementation, in both singlet and non-singlet sectors, of a very elegant method to solve the QCD Evolution equations, due to Furmanski and Petronzio, is presented. The algorithm is directly implemented in x-space by a…

High Energy Physics - Phenomenology · Physics 2014-11-17 Claudio Coriano , Cetin Savkli

We analyze the relation between evolution equations at low x that have been derived in different approaches in the last several years. We show that the equation derived by Balitsky and Kovchegov is obtained from the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Alex Kovner , J. Guilherme Milhano , Heribert Weigert

We consider a `color density matrix' in gauge theory. We argue that it systematically resums large logarithms originating from wide-angle soft radiation, sometimes referred to as non-global logarithms, to all logarithmic orders. We…

High Energy Physics - Phenomenology · Physics 2018-03-06 Simon Caron-Huot

In this paper, we use the re-summation procedure, suggested in Refs.\cite{DIMST,SALAM,SALAM1,SALAM2}, to fix the BFKL kernel in the NLO. However, we suggest a different way to introduce th non-linear corrections in the saturation region,…

High Energy Physics - Phenomenology · Physics 2020-12-02 Carlos Contreras , Eugene Levin , Rodrigo Meneses , Michael Sanhueza

The dynamics of high partonic density QCD is presented considering, in the double logarithm approximation, the parton recombination mechanism built in the AGL formalism, developed including unitarity corrections for the nucleon as well for…

High Energy Physics - Phenomenology · Physics 2014-11-17 M. B. Gay Ducati

The complete next-to-leading order (NLO) QCD corrections to charged Higgs boson associated production with top quark through $b g \to tH^{-}$ at the CERN Large Hadron Collider are calculated in the minimal supersymmetric standard model…

High Energy Physics - Phenomenology · Physics 2009-11-07 Shou-hua Zhu

Using the matrix Riemann-Hilbert factorisation approach for non-linear evolution equations (NLEEs) integrable in the sense of the inverse scattering method, we obtain, in the solitonless sector, the leading-order asymptotics as $t$ tends to…

solv-int · Physics 2009-10-30 A. V. Kitaev , A. H. Vartanian

High-energy QCD evolution beyond leading order suffers from instabilities driven by large collinear logarithms. We present a framework, consistent with the standard high-energy operator product expansion (OPE), that restores perturbative…

High Energy Physics - Phenomenology · Physics 2025-11-12 Renaud Boussarie , Paul Caucal , Piotr Korcyl , Yacine Mehtar-Tani

We solve the CCFM equation numerically in the presence of a boundary condition which effectively incorporates the non-linear dynamics. We retain the full dependence of the unintegrated gluon distribution on the coherence scale, and extract…

High Energy Physics - Phenomenology · Physics 2014-11-21 Emil Avsar , Anna M. Stasto

We report a calculation of approximate next-to-next-to-leading-order (N$^2$LO) and next-to-N$^2$LO (N$^3$LO) QCD corrections to associated $tW$ production at the LHC, which constitute the dominant contributions to full perturbative…

High Energy Physics - Phenomenology · Physics 2025-12-12 Jia-Le Ding , Hai Tao Li , Jian Wang

The decay widths of top quark to S-wave $b\bar{c}$ and $b\bar{b}$ bound states are evaluated at the next-to-leading(NLO) accuracy in strong interaction. Numerical calculation shows that the NLO corrections to these processes are remarkable.…

High Energy Physics - Phenomenology · Physics 2014-11-20 Peng Sun , Li-Ping Sun , Cong-Feng Qiao

In this paper we study logarithmic double phase problems with variable exponents involving nonlinearities that have generalized critical growth. We first prove new continuous and compact embedding results in order to guarantee the…

Analysis of PDEs · Mathematics 2025-07-21 Rakesh Arora , Ángel Crespo-Blanco , Patrick Winkert

We discuss the high energy diffractive dissociation in DIS at the Next to Leading Order. In the large $N_c$ dipole limit we derive the NLO version of the Kovchegov-Levin equation. We argue that the original structure of the equation is…

High Energy Physics - Phenomenology · Physics 2014-10-21 Michael Lublinsky

Perturbative corrections beyond leading-log accuracy to BFKL and BK equations, describing the rapidity evolution of QCD scattering amplitudes at high energy, exhibit strong convergence problems due to radiative corrections enhanced by large…

High Energy Physics - Phenomenology · Physics 2015-07-21 E. Iancu , J. D. Madrigal , A. H. Mueller , G. Soyez , D. N. Triantafyllopoulos

Standard perturbative calculations lead to pathologically large NLO corrections to low-$x_{Bj}$ evolution equations like BFKL and BK. Using a more refined treatment of kinematics in mixed-space, relevant when gluon saturation sets on, one…

High Energy Physics - Phenomenology · Physics 2015-06-12 Guillaume Beuf
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