TY - JOUR
T1 - Renormalization group improved small-x Green's function
AU - Ciafaloni, M.
AU - Colferai, D.
AU - Salam, G. P.
AU - Staśto, A. M.
PY - 2003
Y1 - 2003
N2 - We investigate the basic features of the gluon density predicted by a renormalization group improved small-x 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 ωs(a,), and for the splitting function and its critical exponent ωc(as). 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 slosving 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-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.
AB - We investigate the basic features of the gluon density predicted by a renormalization group improved small-x 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 ωs(a,), and for the splitting function and its critical exponent ωc(as). 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 slosving 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-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.
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U2 - 10.1103/PhysRevD.68.114003
DO - 10.1103/PhysRevD.68.114003
M3 - Article
AN - SCOPUS:1642576940
SN - 0556-2821
VL - 68
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
IS - 11
M1 - 114003
ER -