6533b7d7fe1ef96bd1268edf
RESEARCH PRODUCT
Next-to-leading order Balitsky-Kovchegov equation beyond large Nc
T. LappiH. MäntysaariA. Ramnathsubject
PhysicsBasis (linear algebra)010308 nuclear & particles physicsFunction (mathematics)114 Physical sciences01 natural sciencesComputer Science::Digital LibrariesGaussian approximationMatrix (mathematics)DipoleAmplitude0103 physical sciencesOrder (group theory)Rapidity010306 general physicsMathematical physicsdescription
We calculate finite-Nc corrections to the next-to-leading order (NLO) Balitsky-Kovchegov (BK) equation. We find analytical expressions for the necessary correlators of six Wilson lines in terms of the two-point function using the Gaussian approximation. In a suitable basis, the problem reduces from the diagonalization of a six-by-six matrix to the diagonalization of a three-by-three matrix, which can easily be done analytically. We study numerically the effects of these finite-Nc corrections on the NLO BK equation. In general, we find that the finite-Nc corrections are smaller than the expected 1/Nc2∼10%. The corrections may be large for individual correlators, but have less of an influence on the shape of the amplitude as a function of the dipole size. They have an even smaller effect on the evolution speed as a function of rapidity.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2020-10-29 | Physical Review |