Renormalization group improved small-[Formula Presented] Green’s function

M. Ciafaloni, D. Colferai, G. P. Salam, A. M. Staśto

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

We investigate the basic features of the gluon density predicted by a renormalization group improved small-[Formula Presented] equation which incorporates both the gluon splitting function at the leading collinear level and the exact Balitskii-Fadin-Kuraev-Lipatov (BFKL) kernel at the next-to-leading level. We provide resummed results for Green’s function and its hard Pomeron exponent [Formula Presented] and for the splitting function and its critical exponent [Formula Presented] We find that nonlinear resummation effects considerably extend the validity of the hard Pomeron regime by decreasing diffusion corrections to Green’s function exponent and by slowing down the drift towards the nonperturbative 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 Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) result in the moderate small-[Formula Presented] region, showing a shallow dip followed by the expected power increase in the very small-[Formula Presented] region. Finally, we outline the extension of the resummation procedure to include the photon impact factors.

Original languageEnglish (US)
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume68
Issue number11
DOIs
StatePublished - Jan 1 2003

    Fingerprint

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

Cite this