Geometric scaling above the saturation scale
By E. Iancu, K. Itakura, Larry McLerran. 2002
315 citations recorded by the source corpus.
Abstract We show that the evolution equations in QCD predict geometric scaling for quark and gluon distribution functions in a large kinematical window, which extends above the saturation scale up to momenta Q 2 of order 100 GeV 2 . For Q 2 Q 2 s , with Q s the saturation momentum, this is the scaling predicted by the Colour Glass Condensate and by phenomenological saturation models. For 1≲ln( Q 2 / Q s 2 )⪡ln( Q s 2 / Λ 2 QCD ), we show that the solution to the BFKL equation shows approximate scaling, with the scale set by Q s . At larger Q 2 , this solution does not scale any longer. We argue that for the intermediate values of Q 2 where we find scaling, the BFKL rather than the double logarithmic approximation to the DGLAP equation properly describes the dynamics. We consider both fixed and running couplings, with the scale for running set by the saturation momentum. The anomalous dimension which characterizes the approach of the gluon distribution function towards saturation is found to be close to, but lower than, one half.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/e9f88da5a79cb2e0ef13d20583ae12d4a12117fb
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In Nuclear and High Energy Physics
Citations in the corpus
- Collinearly-improved BK evolution meets the HERA data (2015, background): “The subsequent understanding [8–10] of this scaling from the non-linear evolution equations in QCD — the Balitsky–JIMWLK hierarchy [11–17] and its mean field approximation known as the Balitsky–Kovchegov (BK) equation [18] — has greatly increased our confidence in the validity of the pQCD approach t”
- Solving The High Energy Evolution Equation Including Running Coupling Corrections (2007, background): “2 Geometric scaling It has been found in previous analytical [34, 36, 47] and numerical studies on the solutions of the BK equation at leading order [3, 48–50] and for different heuristic implementations of next-to-leading order corrections [3,46], including the parent dipole prescription for the ru”
- Deep inelastic scattering at strong coupling from gauge/string duality: the saturation line (2007, methodology): “Remarkably, it turns out that the position of this line can be determined via calculations based on the BFKL approximation alone, without a detailed knowledge of the non–linear dynamics responsible for unitarization [20, 21, 22].”