arXiv subjects

Victor S. Fadin

Publications and source records attributed to Victor S. Fadin.

6 recordsLinked to original sources

arXiv2024

One-loop Lipatov vertex in QCD with higher $ε$-accuracy

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 corrections, in dimensional regularization ($D=4+2ε$), up to the constant term in the $ε$-expansion. In the next-to-next-to-leading approximation, however, the one-loop Lipatov vertex is needed up to the order $ε^2$. In this paper we present the expression for this vertex in dimensional regularization up to the required accuracy.

hep-ph↗

arXiv2014

Impact factors for Reggeon-gluon transition in N = 4 SYM with large number of colours

We calculate impact factors for Reggeon-gluon transition in supersymmetric Yang-Mills theory with four supercharges at large number of colours Nc. In the next-to-leading order impact factors are not uniquely defined and must accord with BFKL kernels and energy scales. We obtain the impact factor corresponding to the kernel and the energy evolution parameter, which is invariant under Moebius transformation in momentum space, and show that it is also Moebius invariant up to terms taken into account in the BDS ansatz.

hep-th↗

arXiv2007

On the coordinate representation of NLO BFKL

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 calculated before. The results obtained are used for the examination of conformal properties of the NLO BFKL kernel and of the relation between the BFKL and color dipole approaches.

hep-ph↗

arXiv2007

The dipole form of the quark part of the BFKL kernel

The dipole form of the ``Abelian'' part of the massless quark contribution to the BFKL kernel is found in the coordinate representation by direct transfer from the momentum representation where the contribution was calculated before. It coincides with the corresponding part of the quark contribution to the dipole kernel calculated recently by Balitsky and is conformal invariant.

hep-ph↗

arXiv2001

High-Energy Asymptotics of Photon--Photon Collisions in QCD

The high-energy behaviour of the total cross section for highly virtual photons, as predicted by the BFKL equation at next-to-leading order (NLO) in QCD, is presented. The NLO BFKL predictions, improved by the BLM optimal scale setting, are in excellent agreement with recent OPAL and L3 data at CERN LEP2.

hep-ph↗

arXiv1999

The QCD Pomeron with Optimal Renormalization

It is shown that the next-to-leading order (NLO) corrections to the QCD Pomeron intercept obtained from the BFKL equation, when evaluated in non-Abelian physical renormalization schemes with BLM optimal scale setting do not exhibit the serious problems encountered in the $\overline{\mbox{MS}}$-scheme. A striking feature of the NLO BFKL Pomeron intercept in the BLM approach is its rather weak dependence on the virtuality of the reggeized gluon. This remarkable property yields an important approximate conformal invariance. The results obtained provide an opportunity for applications of NLO BFKL resummation to high-energy phenomenology.

hep-ph↗