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A review of some theoretical aspects of small x QCD physics is given, with a particular emphasis to the relation between the BFKL and the colour dipole approaches. The nonlinear evolution equations one may construct, as a better…

高能物理 - 唯象学 · 物理学 2007-05-23 G. P. Vacca

We compare two Monte Carlo implementations of resummation schemes for the description of parton evolution at small values of Bjorken x. One of them is based on the Balitsky-Fadin-Kuraev-Lipatov (BFKL) evolution equation and generates fully…

高能物理 - 唯象学 · 物理学 2015-03-18 G. Chachamis , M. Deak , A. Sabio Vera , P. Stephens

The relation between the two approaches is discussed both in the linear and nonlinear regimes. It is connected to the gauge invariance and Moebius symmetry in LL perturbative QCD. First corrections beyond the large N approximation are…

高能物理 - 唯象学 · 物理学 2009-11-10 G. P. Vacca

Starting from a rewiev of DGLAP and BFKL evolution equations for small-x processes, a sistematic study is performed in order to understand the limits of both the formulations and to improve them in a unique framework, which aims to cover…

高能物理 - 唯象学 · 物理学 2007-05-23 D. Colferai

The high energy limit of scattering processes in QCD is, at least on the purely theoretical level, described by the BFKL equation. However, many phenomenological studies of BFKL fail miserably when confronted with data. In this talk we will…

高能物理 - 唯象学 · 物理学 2007-05-23 Jeppe R. Andersen

A new approach to global QCD analysis is developed. The main ingredients are two QCD-based evolution equations. The first one is the Balitsky-Kovchegov nonlinear equation, which sums higher twists while preserving unitarity. The second…

高能物理 - 唯象学 · 物理学 2014-11-17 E. Gotsman , E. Levin , M. Lublinsky , U. Maor

In this survey paper we discuss some tools and methods which are of use in quasi-Monte Carlo (QMC) theory. We group them in chapters on Numerical Analysis, Harmonic Analysis, Algebra and Number Theory, and Probability Theory. We do not…

数值分析 · 数学 2014-09-04 Josef Dick , Aicke Hinrichs , Friedrich Pillichshammer

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…

高能物理 - 唯象学 · 物理学 2008-11-26 Jeppe R. Andersen

Starting from the multi-Regge effective action for high-energy scattering in QCD a $t$-channel approach can be developed which is similar to the approach by White based on general Regge arguments. The BFKL kernel of reggeized gluon…

高能物理 - 唯象学 · 物理学 2009-10-28 R. Kirschner

The amplitude for the forward electroproduction of two light vector mesons can be written completely within perturbative QCD in the Regge limit with next-to-leading accuracy, thus providing the first example of a physical application of the…

高能物理 - 唯象学 · 物理学 2008-11-26 Dmitri Yu. Ivanov , Alessandro Papa

We review the current understanding of the behaviour of inclusive cross sections at small x and large Q^2 in terms of Altarelli-Parisi evolution, the BFKL equation, and Regge theory, asking in particular to what extent they are mutually…

高能物理 - 唯象学 · 物理学 2010-03-25 R. D. Ball , P. V. Landshoff

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]…

高能物理 - 唯象学 · 物理学 2016-04-13 G. Chachamis , A. Sabio Vera

Quantum Molecular Dynamics models (QMD) are Monte Carlo approaches targeted at the description of nucleon-ion and ion-ion collisions. We have developed a QMD code, which has been used for the simulation of the fast stage of ion-ion…

We review quantum Monte Carlo methods for dealing with large shell model problems. These methods reduce the imaginary-time many-body evolution operator to a coherent superposition of one-body evolutions in fluctuating one-body fields; the…

核理论 · 物理学 2009-10-30 S. E. Koonin , D. J. Dean , K. Langanke

Quantum Monte Carlo methods find fruitful application in large shell model problems. These methods reduce the imaginary-time many-body evolution operator to a coherent superposition of one-body evolutions in a fluctuating one-body field;…

核理论 · 物理学 2008-02-03 S. E. Koonin

The effective Reggeon-Reggeon-gluon vertex, known as Lipatov vertex, is the key ingredient that allows to develop the BFKL approach in QCD. Within the next-to-leading logarithmic approximation, it is sufficient to know its one-loop…

高能物理 - 唯象学 · 物理学 2024-03-05 Victor S. Fadin , Michael Fucilla , Alessandro Papa

This contribution provides a pedagogical introduction to and review of the current status and ongoing progress in the development of Monte Carlo tools for the calculation and simulation of high-Q^2 processes in hadronic collisions.

高能物理 - 唯象学 · 物理学 2010-10-27 M. L. Mangano

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…

高能物理 - 唯象学 · 物理学 2015-06-25 Jeppe R. Andersen

We review the parton model and the Regge approach to the QCD description of the deep-inelastic $ep$ scattering at the small Bjorken variable $x$ and demonstrate their relation with the DGLAP and BFKL evolution equations. It is shown, that…

高能物理 - 唯象学 · 物理学 2014-11-17 L. N. Lipatov

We summarize the state of the art of resummation techniques in the small-$x$ limit of perturbative QCD.

高能物理 - 唯象学 · 物理学 2009-10-30 Vittorio Del Duca
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