Lev N. Lipatov

Resummation of double logarithms in electroweak high-energy processes

At future linear

Next-to-leading corrections to the BFKL equation from gluon and quark production

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Quantum chromodynamics : perturbative and nonperturbative aspects

collider experiments in the TeV range, Sudakov double logarithms originating from massive boson exchange can lead to significant corrections to the cross sections of the observable processes. These effects are important for the high precision objectives of the Next Linear Collider. We use the infrared evolution equation, based on a gauge invariant dispersive method, to obtain double logarithmic asymptotics of scattering amplitudes and discuss how it can be applied, in the case of broken gauge symmetry, to the standard model of electroweak processes. We discuss the double logarithmic effects to both non-radiative processes and to processes accompanied by soft gauge boson emission. In all cases the Sudakov double logarithms are found to exponentiate. We also discuss double logarithmic effects of a non-Sudakov type which appear in Regge-like processes.

Gluon pair production in the quasimulti - Regge kinematics

Abstract The gluon and quark production in the quasi-multi-Regge kinematics for the final particles is considered. The differential cross section for different helicity states is calculated. Dimensional regularization is used to remove the infrared divergencies in the corresponding contributions to the BFKL equation. The other next-to-leading corrections are discussed.The gluon and quark production in the quasi-multi-Regge kinematics is considered. The differential cross section for different helicity states is calculated. The dimensional regularization is used to remove the infrared divergencies in the corresponding contributions to the BFKL-equation. The other next-to-leading corrections are discussed.