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Peripherical processes in QED at high energies

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Abstract

In this review we consider the high energy processes in QED frames in peripherical kinematics. The key feature of this kinematics is that processes have a large cross section which do not decrease with the increasing of the initial center of mass energy. Two purposes to study peripheral processes are: the background processes with large total cross sections and the structure of jets in the fragmentation region.

We describe the various QED peripherical processes in terms of Impact Factors and give the explicit expressions for the differential distributions and spin correlation effects, as well as estimates of the total cross section of peripheral processes in photon-photon, photon-lepton and lepton-lepton collisions.

A special attention is paid to the small-angle Bhabha scattering process which is relevant for beam monitoring at LEP I, LEP II.

Based on analytical properties of the amplitudes some relations (QED sum rules) between the high energy asymptotic of the cross sections of inelastic processes in e + e − collisions and higher order perturbative contributions to the electron Dirac and Pauli form-factors are derived.

For practical using we present some loop momentum integrals.

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Authors and Affiliations

  1. Joint Institute for Nuclear Research, Orsay, France

    A. B. Arbuzov, V. V. Bytev, E. A. Kuraev & Yu. M. Bystritskiy

  2. IPN, Orsay, France

    E. Tomasi-Gustafsson

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  1. A. B. Arbuzov
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  2. V. V. Bytev
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  3. E. A. Kuraev
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  4. E. Tomasi-Gustafsson
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Arbuzov, A.B., Bytev, V.V., Kuraev, E.A. et al. Peripherical processes in QED at high energies. Phys. Part. Nuclei 41, 593–635 (2010). https://doi.org/10.1134/S1063779610050011

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