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Bartels, Jochen; Gieseke, Stefan; Kyrieleis, Albrecht

doi:10.1103/physrevd.65.014006

Cited by 72 publications

(70 citation statements)

References 13 publications

(26 reference statements)

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“…This completes the results of the paper [2] which contained the longitudinal photon only. We then have identified and computed the divergent parts of the phase space integral of the real corrections: in addition to the infrared singularities which are due to collinear and soft configurations of the produced gluon there is a logarithmic divergence related to the ln s-piece of the central region.…”

Section: B C F Termsupporting

confidence: 78%

“…Our results can be simplified by expressing them in terms of the matrix elements for longitudinal photons; for this reason we also recall the results for longitudinal photon polarization [2]. The matrix elements for the process γ * q → (qqg)q can be written in the following factorized form:…”

Section: Singular Terms Of the Virtual Correctionsmentioning

confidence: 99%

“…(22) we extract the squared vertex |Γ (0) γ * →qqg | 2 (summed over helicities and color in the qqg state). Following the notation used in [2] we list our results in correspondence with the Feynman diagrams:…”

Section: Singular Terms Of the Virtual Correctionsmentioning

confidence: 99%

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NLO corrections to the photon impact factor: Combining real and virtual corrections

et al. 2002

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In this third part of our calculation of the QCD NLO corrections to the photon impact factor we combine our previous results for the real corrections with the singular pieces of the virtual corrections and present finite analytic expressions for the quark-antiquark-gluon intermediate state inside the photon impact factor. We begin with a list of the infrared singular pieces of the virtual correction, obtained in the first step of our program. We then list the complete results for the real corrections (longitudinal and transverse photon polarization). In the next step we define, for the real corrections, the collinear and soft singular regions and calculate their contributions to the impact factor. We then subtract the contribution due to the central region. Finally, we combine the real corrections with the singular pieces of the virtual corrections and obtain our finite results.

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Section: B C F Termsupporting

confidence: 78%

Section: Singular Terms Of the Virtual Correctionsmentioning

confidence: 99%

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NLO corrections to the photon impact factor: Combining real and virtual corrections

et al. 2002

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“…This, together with the correct high x behavior from the NLO expansion, leads to an excellent description of the data. While the NLL BFKL kernel is known exactly, 2 the NLL resummed impact factors coupling the BFKL gluon to the virtual photon are not (see [13][14][15][16][17][18] for work in progress). These are in principle needed to define the NLL results for the splitting functions P qg , P qq as well as longitudinal and heavy flavor coefficient functions.…”

Section: Introductionmentioning

confidence: 99%

Global fit to scattering data with next-to-leading logarithmic BFKL resummations

White

Thorne

2007

Phys. Rev. D

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We calculate deep inelastic scattering (DIS) scheme splitting and coefficient functions for electromagnetic DIS with small x resummations, as given by the next-to-leading-logarithmic Balitsky-Fadin-KuraevLipatov (NLL BFKL) equation with running coupling and approximate NLL resummed impact factors. The resummations are combined with a next-to-leading order (NLO) fixed-order expansion, and the improved quantities thus obtained are stable at small x and significantly suppressed with respect to leading logarithmic (LL) results. These results are implemented in a global fit to DIS and related data, and the results compared to a NLO fixed-order DIS scheme fit and with a previous LL resummed fit. The NLL resummed fit quality is excellent and constitutes a marked improvement over the purely fixed-order approach. The input gluon, at Q 2 0 1 GeV 2 , obtained from the resummed fit is positive and slightly increasing as x ! 0, in contrast to the result obtained at fixed order. A resummed prediction for the longitudinal structure function F L is presented. It is positive definite and growing with energy at low x and Q 2 , where the fixed-order results show a significant perturbative instability.

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“…For the study of scattering amplitudes within the BFKL formalism, necessary ingredients are the gluon Green's function which is obtained after solving the BFKL equation (see for example Refs. [13][14][15][16][17][18][19][20][21][22][23]), the gluon Regge trajectory [24][25][26][27][28][29][30][31][32][33] and the impact factors [34][35][36][37][38][39][40][41][42], the latter being process-dependent objects. In a very general definition, the impact factors are the effective couplings of the scattering projectiles to whatever is exchanged in the t-channel for a process studied in the k T -factorization scheme.…”

Section: Introductionmentioning

confidence: 99%