Quark contribution to the small-x evolution of color dipole
By I. Balitsky. 2006
165 citations recorded by the source corpus.
The small-$x$ deep inelastic scattering in the saturation region is governed by the nonlinear evolution of Wilson-lines operators. In the leading logarithmic approximation it is given by the Balitsky-Kovchegov (BK) equation for the evolution of color dipoles. In the next-to-leading order (NLO) the nonlinear equation gets contributions from quark and gluon loops. In this paper I calculate the quark-loop contribution to small-$x$ evolution of Wilson lines in the NLO. It turns out that there are no new operators at the one-loop level\char22{}just as at the tree level, the high-energy scattering can be described in terms of Wilson lines. In addition, from the analysis of quark loops I find that the argument of coupling constant in the BK equation is determined by the size of the parent dipole rather than by the size of produced dipoles. These results are to be supported by future calculation of gluon loops.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/64b0efc6bb8284c11aca85e7ba26faffa3039e2d
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In Nuclear and High Energy Physics
Citations in the corpus
- Solving The High Energy Evolution Equation Including Running Coupling Corrections (2007, methodology): “Abstract We study the solution of the nonlinear BK evolution equation with the recently calculated running coupling corrections [1, 2].”
- Nonlinear QCD meets data: A global analysis of lepton-proton scattering with running coupling Balitsky-Kovchegov evolution (2009, methodology): “The calculations in [46, 47] proceeded by including αs Nf corrections (Nf being the number of flavors) into the evolution kernel to all orders and by then completing Nf to the one-loop QCD beta-function via replacing Nf → −6πβ2, with β2 = (11Nc− 2Nf )/(12π).”
- Triumvirate of running couplings in small-x evolution (2006, methodology): “tions independently of the conformal contributions. ∗The concept of an explicit UV subtraction was first introduced by Balitsky in the calculation of transverse coordinate space version of NLO BFKL in [49]. We thank Ian Balitsky for communicating it to us in private. 18 3.2 Subtraction for theBKEquat”