Renormalization group improved small x Green's function

By M. Ciafaloni, D. Colferai, Gavin P. Salam, A. Staśto. 2003

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We investigate the basic features of the gluon density predicted by a renormalisation group improved small-x equation which incorporates both the gluon splitting function at leading collinear level and the exact BFKL kernel at next-to-leading level. We provide resummed results for the Green's function and its hard Pomeron exponent $\omega_s(\alpha_s)$, and for the splitting function and its critical exponent $\omega_c(\alpha_s)$. We find that non-linear resummation effects considerably extend the validity of the hard Pomeron regime by decreasing diffusion corrections to the Green's function exponent and by slowing down the drift towards the non-perturbative Pomeron regime. As in previous analyses, the resummed exponents are reduced to phenomenologically interesting values. Furthermore, significant preasymptotic effects are observed. In particular, the resummed splitting function departs from the DGLAP result in the moderate small-x region, showing a shallow dip followed by the expected power increase in the very small-x region. Finally, we outline the extension of the resummation procedure to include the photon impact factors.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/84bc2a5ddeeb22e12137a65d9420ffad6baa9667

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In Nuclear and High Energy Physics

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Collinearly-improved BK evolution meets the HERA data (2015, background): “This scheme differs from the ‘collinear resummations’ previously proposed in the context of NLO BFKL [51–55] in that it is explicitly formulated in the transverse coordinate space, rather than in Mellin space, and hence it is consistent with the non-linear structure of the”