Triumvirate of running couplings in small-x evolution
By Y. Kovchegov, H. Weigert. 2006
272 citations recorded by the source corpus.
Abstract We study the inclusion of running coupling corrections into the non-linear small- x JIMWLK and BK evolution equations by resumming all powers of α s N f in the evolution kernels. We demonstrate that the running coupling corrections are included in the JIMWLK/BK evolution kernel by replacing the fixed coupling constant α s in it with α s ( 1 / r 1 2 ) α s ( 1 / r 2 2 ) α s ( 1 / R 2 ) , where r 1 and r 2 are transverse distances between the emitted gluon and the harder gluon (or quark) off of which it was emitted to the left and to the right of the interaction with the target. In the formalism of Mueller's dipole model r 1 and r 2 are the transverse sizes of “daughter” dipoles produced in one step of the dipole evolution. The scale R is a function of two-dimensional vectors r 1 and r 2 , the exact form of which is scheme-dependent. We propose using a particular scheme which gives us R as an explicit function of r 1 and r 2 .
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/3f3e0eac221d5b098ccba533807a153ec6d45da4
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In Nuclear and High Energy Physics
- J. Albacete
- Y. Kovchegov
- E. Iancu
- J. G. Milhano
- A. Mueller
- N. Armesto
- C. Salgado
- D. Triantafyllopoulos
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 calculation in [48] relied instead on the use of dispersive methods, arriving at the same results as in the perturbative calculation in [47].”
- Collinearly-improved BK evolution meets the HERA data (2015, methodology): “To motivate the resummations that we shall later perform, let us first explicitly exhibit the large transverse logarithms which appear when computing the NLO corrections to the BK equation [31–33].”