2002
DOI: 10.1016/s0370-2693(02)02271-2
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Tunneling transition to the pomeron regime

Abstract: We point out that, in some models of small-x hard processes, the transition to the Pomeron regime occurs through a sudden tunneling effect, rather than a slow diffusion process. We explain the basis for such a feature and we illustrate it for the BFKL equation with running coupling by gluon rapidity versus scale correlation plots.

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Cited by 36 publications
(27 citation statements)
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“…For this reason it is strictly necessary to optimize the amplitude by (i) including some pieces of the (unknown) next-to-NLO corrections and/or (ii) suitably choosing the values of the energy and renormalization scales, which, though being arbitrary within the NLO, can have a sizeable numerical impact through subleading terms. A remarkable example of the former approach is the so-called collinear improvement [20][21][22][23][24][25][26][27][28][29][30], based on the inclusion of terms generated by renormalization group (RG), or collinear, analysis, leading to more convergent kernels. As for the latter approach, the most common ways to optimize the choice of the energy and renormalization scales are those inspired by the principle of minimum sensitivity (PMS) [31,32], the fast apparent convergence (FAC) [33][34][35] and the Brodsky-LePage-McKenzie method (BLM) [36].…”
Section: Introductionmentioning
confidence: 99%
“…For this reason it is strictly necessary to optimize the amplitude by (i) including some pieces of the (unknown) next-to-NLO corrections and/or (ii) suitably choosing the values of the energy and renormalization scales, which, though being arbitrary within the NLO, can have a sizeable numerical impact through subleading terms. A remarkable example of the former approach is the so-called collinear improvement [20][21][22][23][24][25][26][27][28][29][30], based on the inclusion of terms generated by renormalization group (RG), or collinear, analysis, leading to more convergent kernels. As for the latter approach, the most common ways to optimize the choice of the energy and renormalization scales are those inspired by the principle of minimum sensitivity (PMS) [31,32], the fast apparent convergence (FAC) [33][34][35] and the Brodsky-LePage-McKenzie method (BLM) [36].…”
Section: Introductionmentioning
confidence: 99%
“…[26][27][28], for the case of the vector meson photoproduction). This calls for some optimization procedure, which can consist in (i) including some pieces of the (unknown) next-to-NLO corrections, such as those dictated by renormalization group, as in collinear improvement [29][30][31][32][33][34][35][36][37][38][39], or by energymomentum conservation [40], and/or (ii) suitably choosing the values of the energy and renormalization scales, which, though arbitrary within the NLO, can have a sizeable numerical impact through subleading terms. Common optimization methods are those inspired by the principle of minimum sensitivity [41,42], the fast apparent convergence [43][44][45] and the Brodsky-Lepage-Mackenzie method (BLM) [46].…”
Section: Figmentioning
confidence: 99%
“…We could also argue that the presumably large effects in the next-to-NLA are not reduced under enough satisfactory control by the representations of the cross section and by the optimization methods we have considered in this work. In this respect, it would be interesting to test also approaches based on collinear improvement [74][75][76][77][78][79][80][81][82][83][84]. However, the consideration of these issues goes beyond the scope of present paper.…”
Section: Discussionmentioning
confidence: 99%