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We outline a general method for obtaining the solution to the ($t=0$) BFKL equation in the presence of transverse momentum cutoffs. A lower cutoff allows one to avoid integration over nonperturbative momenta and an upper one is needed from…

High Energy Physics - Phenomenology · Physics 2016-09-01 M. F. McDermott , J. R. Forshaw , G. G. Ross

We describe a formalism for solving the BFKL equation with a coupling that runs for momenta above a certain infrared cutoff. By suitably choosing matching conditions proper account is taken of the fact that the BFKL diffusion implies that…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. R. Forshaw , D. A. Ross , A. Sabio-Vera

The kernel of the BFKL equation for non-zero momentum transfer is found at next-to-leading order. It is presented in various forms depending on the regularization of the infrared singularities in "virtual" and "real" parts of the kernel.…

High Energy Physics - Phenomenology · Physics 2010-11-05 V. S. Fadin , R. Fiore

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

A simple solution to the BFKL equation is obtained as a series in the number of real gluons emitted with transverse momentum greater than some small cutoff $\mu$. This solution reveals physics inside the BFKL ladder which is hidden in the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Carl R. Schmidt

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

We discuss the significance of the next-to-leading order term in the BFKL equation on the energy dependence of diffractive processes controlled by the perturbative QCD pomeron. It is shown that whereas the large negative corrections do…

High Energy Physics - Phenomenology · Physics 2008-11-26 D. A. Ross

Two relevant points related to the application of the BFKL formalism to phenomenology are discussed. First, we have presented a set of observables characterizing multi-jet configurations event by event (average transverse momentum, average…

High Energy Physics - Phenomenology · Physics 2017-09-12 G. Chachamis , A. Sabio Vera , D. A. Ross

We study the high energy behaviour of elastic scattering amplitudes within the leading logarithm approximation. In particular, we cast the amplitude in a form which allows us to study the internal dynamics of the BFKL Pomeron for general…

High Energy Physics - Phenomenology · Physics 2015-06-25 J. R. Forshaw , P. J. Sutton

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

Imposing infrared boundary conditions on the BFKL equation with running coupling transforms the complex momentum w-plane cut present in the gluon Green function into an infinite series of positive Regge poles. In addition, a cut on the…

High Energy Physics - Phenomenology · Physics 2016-09-21 Douglas A. Ross , Agustin Sabio Vera

We introduce a modified Balitskii-Fadin-Kuraev-Lipatov (BFKL) equation with the rapidity veto that originates from external kinematic constraint. Though it is a formally sub-leading power contribution, such kinematic effect becomes very…

High Energy Physics - Phenomenology · Physics 2022-04-04 Hao-yu Liu , Xiao-hui Liu , Yu Shi , Du-xin Zheng , Jian Zhou

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

In this contribution we describe in some detail different aspects of the construction of BFKL cross sections. We focus on several effects which are relevant at next-to-leading order. In particular, we describe QCD coherence in DIS final…

High Energy Physics - Phenomenology · Physics 2008-12-19 Agustin Sabio Vera

On the basis of a renormalization group analysis of the kernel and of the solutions of the BFKL equation with subleading corrections, we propose and calculate a novel expansion of a properly defined effective eigenvalue function. We argue…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Ciafaloni , D. Colferai

Of late, the field of BFKL physics has been the subject of significant developments. The calculation of the NLL terms was recently completed, and they turned out to be very large. Techniques have been proposed to resum these corrections.…

High Energy Physics - Phenomenology · Physics 2014-11-17 Gavin P. Salam

The ``non-Abelian'' part of the quark contribution to the BFKL kernel in the next-to-leading order (NLO) is found in the coordinate representation by direct transfer of the contribution from the momentum representation where it was…

High Energy Physics - Phenomenology · Physics 2008-11-26 Victor S. Fadin , Roberto Fiore , Alessandro Papa

We find one-loop correction to the integral kernel of the BFKL equation for the total cross section of the high energy scattering in QCD and calculate the next-to-leading contribution to anomalous dimensions of twist-2 operators near $j=1$.

High Energy Physics - Phenomenology · Physics 2008-11-26 V. S. Fadin , L. N. Lipatov

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 dynamics can be successfully tested at the future high energy $e^+e^-$ linear collider. The total $\gamma^*\gamma^*$ cross-section is calculated in the Leading Log QCD dipole picture of BFKL dynamics, and compared with the one from…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. Royon
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