2009
DOI: 10.1140/epjc/s10052-009-1087-y
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Generalised parton distributions at small x

Abstract: We justify the practical use of the Shuvaev integral transform approach to calculate the skewed distributions, needed to describe diffractive processes, directly from the conventional diagonal global parton distributions. We address doubts which have been raised about this procedure. We emphasise that the approach, on the one hand, satisfies all theoretical reqirements, and, on the other hand, is consistent with DVCS data at NLO. We construct an easily accessible package for the computation of these skewed dis… Show more

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Cited by 45 publications
(73 citation statements)
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“…Since now we integrate over the |l 2 | < Q 2 0 < μ 2 F the correction does not depend on μ F . 7 This contribution is already included in the input value GPD(Q 0 ).…”
Section: Quark-induced Nlo Correctionmentioning
confidence: 99%
See 1 more Smart Citation
“…Since now we integrate over the |l 2 | < Q 2 0 < μ 2 F the correction does not depend on μ F . 7 This contribution is already included in the input value GPD(Q 0 ).…”
Section: Quark-induced Nlo Correctionmentioning
confidence: 99%
“…Note that X is defined in (4) and β is given by (7). Recall that we are looking for the imaginary part of the amplitude (i.e.…”
Section: Gluon Nlo Correctionmentioning
confidence: 99%
“…Indeed in the case of modern NLO MS PDF sets, the fits tend to prefer a negative gluon, for example g(x, Q 2 0 = 1 GeV 2 ) < 0 for x < ∼ 10 −2 in the case of MSTW08 NLO. On the other hand there are some indications, for instance from J/ψ diffractive photoproduction data at HERA (which is not currently used in global PDF analyses), that the 'true' g(x, Q 2 ) at low x and Q 2 ∼ 2 − 3 GeV 2 is larger than the current NLO PDFs [82]. In contrast, the LO PDFs, which generally have a g(x, Q 2 0 ) which is positive at small x, do not give a particularly good description of the HERA F 2 (x, Q 2 ) data, and may in general be too large at low x and Q 2 in order to compensate for the non-negligible higher-order terms which are absent in the LO DGLAP evolution of the quark PDF.…”
Section: γγ Cep Revisitedmentioning
confidence: 99%
“…Models or additional assumptions are generally needed to extract the diagonal GPD from the data. However, at x B ≪ 1 and sufficiently large Q 2 the "skewed" GPD can approximately be reconstructed from the diagonal limit [592,593]. In this case QCD evolution generates the GPD with x and x ′ from configurations at a lower scale with momentum fractions x 0 , x ′ 0 ≫ x, x ′ ; because the difference of the parton momentum fractions is preserved under evolution, the lower-scale GPD is effectively evaluated in the diagonal limit figure 3.8c).…”
mentioning
confidence: 99%