Deep-Inelastic Structure Functions at Nnlo and Beyond

Moch, S.; Vermaseren, J. A. M.; Vogt, A.

doi:10.1142/9789812702722_0003

Cited by 228 publications

(566 citation statements)

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“…Conjecturing that this behaviour holds at l = 3 also for K L2 and K LL , the three-loop results of Refs. [1][2][3][4] together with Eq. (13) yield…”

Section: Physical Evolution Kernel For (F 2 F L )mentioning

confidence: 99%

“…1, is a benchmark process of perturbative QCD. Disregarding contributions suppressed by powers of 1/Q 2 , the structure functions in electromagnetic DIS are given by x −1 F n a (x, Q 2 ) = C a,i (α s (Q 2 ))⊗f n i (Q 2 ) (x) (1) in terms of the coefficient functions C a,i , a = 2, L, i = q, g, and the nucleon parton distributions f n i . Here ⊗ denotes the standard Mellin convolution, and the summation over i is understood.…”

Section: Introductionmentioning

confidence: 99%

“…(3) and (4). The above (spin-averaged) splitting functions are presently known to n = 2 [1,2], i.e., the nextto-next-to-leading order (NNLO ≡ N 2 LO). The coefficient functions for the most important structure functions (including F 3 for charge-averaged W -exchange) have also been fully computed to order α 3 s [3][4][5], while the less important chargeasymmetry W -cases are available only through a couple of low-integer Mellin-N moments [6,7].…”

Section: Introductionmentioning

confidence: 99%

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On higher-order flavour-singlet splitting and coefficient functions at large x

Vogt

Soar

Moch

et al. 2010

Nuclear Physics B - Proceedings Supplements

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We discuss the large-x behaviour of the splitting functions Pqg and Pgq and of flavour-singlet coefficient functions, such as the gluon contributions C2,g and CL,g to the structure functions F2,L, in massless perturbative QCD. These quantities are suppressed by one or two powers of (1−x) with respect to the (1−x) −1 terms which are the subject of the well-known threshold exponentiation. We show that the double-logarithmic contributions to Pqg, Pgq and CL at order α 4 s can be predicted from known third-order results and present, as a first step towards a full all-order generalization, the leading-logarithmic large-x behaviour of Pqg, Pgq and C2,g at all orders in αs.

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“…Conjecturing that this behaviour holds at l = 3 also for K L2 and K LL , the three-loop results of Refs. [1][2][3][4] together with Eq. (13) yield…”

Section: Physical Evolution Kernel For (F 2 F L )mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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On higher-order flavour-singlet splitting and coefficient functions at large x

Vogt

Soar

Moch

et al. 2010

Nuclear Physics B - Proceedings Supplements

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“…The three-loop corrections for inclusive DIS -required to complete the NNLO framework and to provide the dominant next-to-next-to-next-to-leading order (N 3 LO) corrections at large-x enabling a perturbative accuracy of 1% for α s determinations -have been the subject of a longterm research program, which started from sum rules [10,11], and proceeded via low integer Mellin moments [12][13][14] to the computation of the exact expressions for all NNLO splitting functions [15,16] and the third-order coefficient functions for the structure functions F L and F 2 [17,18]. In the present article, we extend the latter results to the most important structure function not covered by Ref.…”

Section: Introductionmentioning

confidence: 99%

Third-order QCD corrections to the charged-current structure function

2009

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We compute the coefficient function for the charge-averaged W ± -exchange structure function F 3 in deep-inelastic scattering (DIS) to the third order in massless perturbative QCD. Our new threeloop contribution to this quantity forms, at not too small values of the Bjorken variable x, the dominant part of the next-to-next-to-next-to-leading order corrections. It thus facilitates improved determinations of the strong coupling α s and of 1/Q 2 power corrections from scaling violations measured in neutrino-nucleon DIS. The expansion of F 3 in powers of α s is stable at all values of x relevant to measurements at high scales Q 2 . At small x the third-order coefficient function is dominated by diagrams with the colour structure d abc d abc not present at lower orders. At large x the coefficient function for F 3 is identical to that of F 1 up to terms vanishing for x → 1.

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“…where the splitting functions P i j are known to NNLO [31,26]. These describe the different possible parton splittings in the collinear limit, i.e.…”

Section: Non-perturbative Parametersmentioning

confidence: 99%

Status of perturbative QCD calculations for deep-inelastic scattering and related processes

Moch¹

2012

Nuclear Physics B - Proceedings Supplements

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We give a brief overview of the status of perturbative QCD calculations for deep-inelastic scattering. The radiative corrections to the Wilson coefficients are generally available to next-to-next-to-leading order in QCD and we address the accuracy of the strong coupling constant, the parton distributions of the nucleon and the heavy quark masses which is required for precision predictions. We also discuss related processes at hadron colliders such as Higgs production via weak boson fusion which can be described through structure functions of deep-inelastic scattering, building upon an approximate, although very accurate, factorization of the perturbative QCD corrections. Keywords: Deep-inelastic scatteringDeep-inelastic scattering (DIS) and the observed scaling violations have been central to the formulation of Quantum Chromodynamics (QCD) as the gauge theory of the strong interactions [1,2]. Over the decades the available high precision experimental data from lepton-and neutrino scattering off fixed targets at CERN, FNAL and SLAC as well as from electronproton collisions at the HERA collider at DESY have successfully probed QCD in a wide kinematical range. The key observables are inclusive structure functions or differential cross sections which provide the theoretical description of the hard hadronic interactions in the QCD improved parton model. Precision predictions in perturbative QCD rest on the fact that we can separate the sensitivity to dynamics from different scales, i.e., the physics at scale of the nucleon mass from hard highenergy scattering at a large scale Q 2 . In Fig. 1 this is depicted for lepton-proton DIS in the one-boson exchange approximation, see e.g., Ref. [3] for the definitions of the kinematic variables.The factorization at a scale µ allows to express for instance the unpolarized inclusive structure functions

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Deep-Inelastic Structure Functions at Nnlo and Beyond

Cited by 228 publications

References 0 publications

On higher-order flavour-singlet splitting and coefficient functions at large x

On higher-order flavour-singlet splitting and coefficient functions at large x

Third-order QCD corrections to the charged-current structure function

Status of perturbative QCD calculations for deep-inelastic scattering and related processes

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