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V. Fadin

Publications and source records attributed to V. Fadin.

5 recordsLinked to original sources
arXiv2005

Non-forward NLO BFKL Kernel

Details of the calculation of the non-forward BFKL kernel at next-to-leading order (NLO) are offered. Specifically we show the calculation of the two-gluon production contribution. This contribution was the last missing part of the kernel. Together with the NLO gluon Regge trajectory, the NLO contribution of one-gluon production and the contribution of quark-antiquark production which were found before it defines the kernel completely for any colour state in the $t$-channel, in particular the Pomeron kernel presented recently.

hep-ph↗
arXiv2000

Next-to-leading virtual photon - Reggeized gluon interaction

We present the results of the calculation of the one-loop correction to the effective vertex for the quark-antiquark pair production in collisions of the virtual photon with the Reggeized gluon. This vertex is supposed then to be used for the calculation of the virtual photon impact factor, which is extremely important, for instance, for the description of the small $x$ deep inelastic scattering in the BFKL approach.

hep-ph↗
arXiv1995

Small Angle Bhabha Scattering for LEP

We present the results of our calculations to a one, two, and three loop approximation of the e$^+$e$^-$$\rightarrow$e$^+$e$^-$ Bhabha scattering cross-section at small angles. All terms contributing to the radiatively corrected cross-section, within an accuracy of $δσ/ σ= 0.1 \% $, are explicitely evaluated and presented in an analytic form. $O(α)$ and $O(α^2)$ contributions are kept up to next-to-leading logarithmic accuracy, and $O(α^3)$ terms are taken into account to the leading logarithmic approximation. We define an experimentally measurable cross-section by integrating the calculated distributions over a given range of final-state energies and angles. The cross-sections for exclusive channels as well as for the totally integrated distributions are also given.

hep-ph↗