Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2010-01-15
Mod.Phys.Lett.A24:3052-3061,2009
Physics
High Energy Physics
High Energy Physics - Phenomenology
Talk given at the workshop "Recent Advances in Perturbative QCD and Hadronic Physics" Trento, 20-25 July 2009: honoring the 75
Scientific paper
10.1142/S0217732309001261
After a brief introduction to Deep Inelastic Scattering in the Bjorken limit and in the Regge Limit we discuss the operator product expansion in terms of non local string operator and in terms of Wilson lines. We will show how the high-energy behavior of amplitudes in gauge theories can be reformulated in terms of the evolution of Wilson-line operators. In the leading order this evolution is governed by the non-linear Balitsky- Kovchegov (BK) equation. In order to see if this equation is relevant for existing or future deep inelastic scattering (DIS) accelerators (like Electron Ion Collider (EIC) or Large Hadron electron Collider (LHeC)) one needs to know the next-to-leading order (NLO) corrections. In addition, the NLO corrections define the scale of the running-coupling constant in the BK equation and therefore determine the magnitude of the leading-order cross sections. In Quantum Chromodynamics (QCD), the next-to-leading order BK equation has both conformal and non-conformal parts. The NLO kernel for the composite operators resolves in a sum of the conformal part and the running-coupling part. The QCD and ${\cal N}=4$ SYM kernel of the BK equation is presented.
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