70 years of Doubly-Logarithmic Approximation

B. I. Ermolaev

70 years of Doubly-Logarithmic Approximation

High Energy Physics - Phenomenology 2026-07-01 v1 High Energy Physics - Theory

Authors: B. I. Ermolaev

Abstract

Existence of Double-Logarithmic (DL) contributions to scattering amplitudes in QED was discovered by V.V. Sudakov in 1956 and total summation of DL contributions to electron-photon scattering resulted in appearance of famous Sudakov exponentials. Then, thanks to contributions of V.G. Gorshkov, V.N. Gribov, G.V. Frolov and L.N. Lipatov, the pattern of calculations in Double- Logarithmic Approximation (DLA) was constructed. Since then, DLA has become one of basic ways of describing various high-energy processes in the framework of QED, QCD and theory of EW interactions. In the present paper, we remind the history of DLA and present a brief overview of application of DLA to various objects like form factors, scattering amplitudes, DIS structure functions.

Cite

@article{arxiv.2607.00771,
  title  = {70 years of Doubly-Logarithmic Approximation},
  author = {B. I. Ermolaev},
  journal= {arXiv preprint arXiv:2607.00771},
  year   = {2026}
}

Comments

21 pp, 7 figures