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We show that the forward-jet measurements performed at HERA allow for a detailed study of corrections due to next-to-leading logarithms (NLL) in the Balitsky-Fadin-Kuraev-Lipatov (BFKL) approach. While the description of the d\sigma/dx data…

High Energy Physics - Phenomenology · Physics 2010-03-25 O. Kepka , C. Marquet , R. Peschanski , C. Royon

I discuss the calculation of the next-to-leading logarithmic (NLL) corrections to the BFKL resummation, as well as some of the issues that arise in this formalism at NLL. In particular I consider the large size and apparent instability of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Carl R. Schmidt

The NLL corrections to the BFKL kernel are known to be very large, to the extent that even for small values of alpha_s, they lead to physical cross sections which are not positive definite. It is shown in the context of a toy model, that…

High Energy Physics - Phenomenology · Physics 2010-03-25 G. P. Salam

Peculiar properties of the BFKL approach in the next-to-next-to-leading logarithmic approximation (NNLLA) are discussed. In this approximation the scheme of derivation of the BFKL equation must be changed because of violation of the simple…

High Energy Physics - Phenomenology · Physics 2017-04-05 V. S. Fadin

Recent progress in reinforcement learning has led to remarkable performance in a range of applications, but its deployment in high-stakes settings remains quite rare. One reason is a limited understanding of the behavior of reinforcement…

Machine Learning · Computer Science 2020-11-04 Feicheng Wang , Lucas Janson

The initial analyses of the next-to-leading logarithmic corrections to the BFKL kernel were very discouraging. Encouraged by the success of new methods in the analysis of the BFKL equation at full NLL accuracy we demonstrate in this talk…

High Energy Physics - Phenomenology · Physics 2015-06-25 Jeppe R. Andersen

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

High-energy evolution equations, such as the BFKL, BK or JIMWLK equations, aim at resumming the high-energy (next-to-)leading logarithms appearing in QCD perturbative series. However, the standard derivations of those equations are…

High Energy Physics - Phenomenology · Physics 2014-04-30 Guillaume Beuf

We present a new method for solving the BFKL evolution applicable at both leading and next-to-leading logarithmic accuracy, and tailored to the study of QCD multi-jet events at colliders. We utilise this to discuss corrections to the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jeppe R. Andersen

Comparing the numerically evaluated solution to the leading order GLAP equations with its analytical small-x approximation we have found that in the domain covered by a large fraction of the HERA data the analytic approximation has to be…

High Energy Physics - Phenomenology · Physics 2014-11-17 L. Mankiewicz , A. Saalfeld , T. Weigl

The WW production cross section measured at the LHC has been consistently exhibiting a mild excess beyond the SM prediction, in both ATLAS and CMS at both 7-TeV and 8-TeV runs. We provide an explanation of the excess in terms of resummation…

High Energy Physics - Phenomenology · Physics 2015-01-07 Prerit Jaiswal , Takemichi Okui

In certain regions of phase space in jet production, large logarithms can arise which are resummed by the BFKL equation. Linear colliders can potentially be excellent places to study BFKL effects in jet production. We discuss an approach to…

High Energy Physics - Phenomenology · Physics 2009-11-07 Lynne H. Orr , W. J. Stirling

Test-time scaling has enabled Large Language Models (LLMs) to tackle complex reasoning, yet the limitations of current Chain-of-Thought (CoT) evaluation obscures whether performance gains stem from genuine reasoning or mere verbosity. To…

Artificial Intelligence · Computer Science 2026-01-08 Zhizhang Fu , Yuancheng Gu , Chenkai Hu , Hanmeng Liu , Yue Zhang

In recent large scale Monte-Carlo simulations of various models of Theta-point polymers in three dimensions Grassberger and Hegger found logarithmic corrections to mean field theory with amplitudes much larger than the universal amplitudes…

Statistical Mechanics · Physics 2009-10-31 Johannes Hager , Lothar Sch"afer

We calculate the parton level cross section for the production of two jets that are far apart in rapidity, subject to a limitation on the total transverse momentum Q_0 in the interjet region. We specifically address the question of how to…

High Energy Physics - Phenomenology · Physics 2015-06-25 A. Kyrieleis

Instruction Tuning (IT), the process of training large language models (LLMs) using instruction-response pairs, has emerged as the predominant method for transforming base pre-trained LLMs into open-domain conversational agents. While IT…

Computation and Language · Computer Science 2024-07-16 Sreyan Ghosh , Chandra Kiran Reddy Evuru , Sonal Kumar , Ramaneswaran S , Deepali Aneja , Zeyu Jin , Ramani Duraiswami , Dinesh Manocha

The hadronic kt-spectrum inside a high energy jet is determined including corrections of relative magnitude O{\sqrt{\alpha_s}} with respect to the Modified Leading Logarithmic Approximation (MLLA), in the limiting spectrum approximation…

High Energy Physics - Phenomenology · Physics 2011-03-23 Redamy Perez Ramos , Francois Arleo , Bruno Machet

We consider jet-shape observables of the type proposed recently, where the shapes of one or more high-pT jets, produced in a multi-jet event with definite jet multiplicity, may be measured leaving other jets in the event unmeasured. We…

High Energy Physics - Phenomenology · Physics 2015-03-14 Andrea Banfi , Mrinal Dasgupta , Kamel Khelifa-Kerfa , Simone Marzani

Large Language Models (LLMs) trained via Reinforcement Learning (RL) have recently achieved impressive results on reasoning benchmarks. Yet, growing evidence shows that these models often generate longer but ineffective chains of thought…

Machine Learning · Computer Science 2025-07-02 Jhouben Cuesta-Ramirez , Samuel Beaussant , Mehdi Mounsif

This paper takes an empirical look at asymptotic runtime growth rates for the most widely used algorithms for solving linear programming (LP) problems across a set of six optimization application areas that are known to produce large and…

Optimization and Control · Mathematics 2026-04-20 Edward Rothberg
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