Non-abelian contributions to small-x anomalous dimensions

Camici, G.; Ciafaloni, M.

doi:10.1016/0370-2693(96)00962-8

Cited by 85 publications

(78 citation statements)

References 22 publications

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“…We shall note here that, in the BFKL equation the coupling also starts to run at the next-to-leading logarithmic level (in ln 1/x) only [35][36][37][38][39][40]. The different choices of scales formally lead to the differences at next-to-next-to leading level.…”

Section: Jhep06(2010)112mentioning

confidence: 98%

Non-linear evolution in CCFM: the interplay between coherence and saturation

Avsar

Staśto

2010

J. High Energ. Phys.

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Abstract:We solve the CCFM equation numerically in the presence of a boundary condition which effectively incorporates the non-linear dynamics. We retain the full dependence of the unintegrated gluon distribution on the coherence scale, and extract the saturation momentum. The resulting saturation scale is a function of both rapidity and the coherence momentum. In Deep Inelastic Scattering this will lead to a dependence of the saturation scale on the photon virtuality in addition to the usual x Bj dependence. At asymptotic energies the interplay between the perturbative non-linear physics, and that of the QCD coherence, leads to an interesting and novel dynamics where the saturation momentum itself eventually saturates. We also investigate various implementations of the "non-Sudakov" form factor. It is shown that the non-linear dynamics leads to almost identical results for different form factors. Finally, different choices of the scale of the running coupling are analyzed and implications for the phenomenology are discussed.

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Section: Jhep06(2010)112mentioning

confidence: 98%

Non-linear evolution in CCFM: the interplay between coherence and saturation

Avsar

Staśto

2010

J. High Energ. Phys.

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“…We limit ourselves, for simplicity, to the gluonic contributions, because the qq ones turn out to be small [1].…”

Section: Improved Next-to-leading Expansionmentioning

confidence: 99%

The BFKL equation at next-to-leading level and beyond

1999

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On the basis of a renormalization group analysis of the kernel and of the solutions of the BFKL equation with subleading corrections, we propose and calculate a novel expansion of a properly defined effective eigenvalue function. We argue that in this formulation the collinear properties of the kernel are taken into account to all orders, and that the ensuing next-to-leading truncation provides a much more stable estimate of hard Pomeron and of resummed anomalous dimensions.PACS 12.38.Cy †

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“…We solve the BFKL equation with running, rather than fixed, coupling where α S depends on the local scale k 2 T along the ladder. This way of implementing the running of α S is supported by the calculation of nextto-leading ln(1/x) effects [15,16]. The solution of the BFKL equation with running α S can be reduced to the conventional RG form using saddle point techniques.…”

Section: Introductionmentioning

confidence: 99%

“…The solution of the BFKL equation with running α S can be reduced to the conventional RG form using saddle point techniques. However, the saddle point approximation is not applicable for arbitrarily small values of x [17,3,15,16,18,19].…”

Section: Introductionmentioning

confidence: 99%

Unified BFKL and Gribov-Lipatov-Altarelli-Parisi description ofF2data

1997

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We argue that the use of the universal unintegrated gluon distribution and the k T (or high energy) factorization theorem provides the natural framework for describing observables at small x. We introduce a coupled pair of evolution equations for the unintegrated gluon distribution and the sea quark distribution which incorporate both the resummed leading ln(1/x) BFKL contributions and the resummed leading ln(Q 2 ) GLAP contributions. We solve these unified equations in the perturbative QCD domain using simple parametic forms of the nonperturbative part of the integrated distributions. With only two (physically motivated) input parameters we find that this k T factorization approach gives an excellent description of the measurements of F 2 (x, Q 2 ) at HERA. In this way the unified evolution equations allow us to determine the gluon and sea quark distributions and, moreover, to see the x domain where the resummed ln(1/x) effects become significant. We use k T factorization to predict the longitudinal structure function F L (x, Q 2 ) and the charm component of F 2 (x, Q 2 ).

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Non-abelian contributions to small-x anomalous dimensions

Cited by 85 publications

References 22 publications

Non-linear evolution in CCFM: the interplay between coherence and saturation

Non-linear evolution in CCFM: the interplay between coherence and saturation

The BFKL equation at next-to-leading level and beyond

Unified BFKL and Gribov-Lipatov-Altarelli-Parisi description ofF2data

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