Speaker
Description
The anti-collinear resummation in JIMWLK evolution [1,2] is extended to include the effects of conservation of the (+)-momentum component, leading to the non-linear generalisation of the DGLAP/BFKL duality [3]. In the linear regime, the resummed BFKL characteristic function satisfies the duality prediction $\chi(1)=\pi/(\alpha_s N_c)$.
[1] A.Kovner, M.Lublinsky, V.V.Skokov and Z.Zhao, "Not all that is $\beta_{0}$ is $\beta$-function: the DGLAP resummation and the running coupling in NLO JIMWLK,'" JHEP 07, 148 (2024)
doi:10.1007/JHEP07(2024)148
[arXiv:2308.15545 [hep-ph]].
[2] A.Kovner, M.Lublinsky, M.Nefedov and V.kokov, "Anti-collinear resummation in JIMWLK evolution in the linear regime,"
[arXiv:2601.02131 [hep-ph]].
[3] G.Altarelli, R.D.Ball and S.Forte, "Resummation of singlet parton evolution at small x," Nucl. Phys. B \textbf{575}, 313-329 (2000)
doi:10.1016/S0550-3213(00)00032-8
[arXiv:hep-ph/9911273 [hep-ph]].