The Energy dependence of the saturation momentum

By A. Mueller, D. Triantafyllopoulos. 2002

279 citations recorded by the source corpus.

Abstract We study BFKL evolution and, in particular, the energy dependence of the saturation momentum in the presence of saturation boundaries limiting the region of linear BFKL evolution. In the case of fixed coupling evolution we confirm the previously found exponential term in Q s ( Y ) and determine the prefactor Y and α dependences. In the running coupling case we find Y 1/6 corrections to the Y 1/2 exponential behavior previously known. Geometrical scaling of the scattering amplitude is valid in a wide range of momenta for fixed coupling evolution and in a more restricted region for running coupling evolution.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/e4b1b45b7960c70144dc381209f65d630b68fac4

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In Nuclear and High Energy Physics

1. Y. Kovchegov
2. J. Albacete
3. E. Iancu
4. H. Weigert
5. E. Levin
6. J. G. Milhano
7. D. Kharzeev
8. M. Costa

Citations in the corpus

• Parton saturation and Npart scaling of semi-hard processes in QCD (2002, result): “The resulting anomalous dimension is consistent with the result found from analysis of the BFKL equation and saturation in leading and next to leading order [40, 41, 42, 43, 44].”
• Collinearly-improved BK evolution meets the HERA data (2015, background): “For instance, the ‘IIM’ fit in [20] attempted to capture some general features of the non-linear evolution, like geometric scaling with an anomalous dimension and the BFKL diffusion, that were expected to hold beyond leading order [9,29].”
• Universal features of JIMWLK and BK evolution at small x (2003, methodology): “To establish the link to the asymptotic behavior given in [41, 42], we first observe that the small coupling limit of Eq.”
• Deep inelastic scattering in conformal QCD (2009, background): “This growth breaks unitarity and leads to gluon saturation in the target hadron structure functions [5–11], which for large Q still occurs for small coupling αs [12].”
• Solving The High Energy Evolution Equation Including Running Coupling Corrections (2007, methodology): “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].”