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Grabovsky, A. V.

Publications and source records attributed to Grabovsky, A. V..

Impact factor for high-energy two and three jets diffractive production

We present the calculation of the impact factor for the photon to quark, antiquark and gluon transition within Balitsky’s shock-wave formalism. We also rederive the impact factor for photon to quark and antiquark transition. These results provide the necessary building blocks for further phenomenological studies of inclusive diffractive deep inelastic scattering as well as for two and three jets diffractive production which go beyond approximations discussed in the literature.

71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗

NLO evolution of 3-quark Wilson loop operator

It is well known that high-energy scattering of a meson from some hadronic target can be described by the interaction of that target with a color dipole formed by two Wilson lines corresponding to fast quark-antiquark pair. Moreover, the energy dependence of the scattering amplitude is governed by the evolution equation of this color dipole with respect to rapidity. Similarly, the energy dependence of scattering of a baryon can be described in terms of evolution of a three-Wilson-lines operator with respect to the rapidity of the Wilson lines. We calculate the evolution of the 3-quark Wilson loop operator in the next-to-leading order (NLO) and present a quasi-conformal evolution equation for a composite 3-Wilson-lines operator. Thus we also obtain the linearized version of that evolution equation describing the amplitude of the odderon exchange at high energies.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

Low-x evolution equations in Möbius representation

The Möbius form of the BFKL kernel in the next-to-leading order (NLO) in theories containing fermions and scalars in arbitrary representations of the colour group is presented. The ambiguity of the NLO kernels permits to get agreement between the BFKL approach and the colour dipole model and to find the quasi-conformal representation of the BFKL kernel.

97 MATHEMATICS AND COMPUTING↗