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

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

doi:10.1016/j.nuclphysb.2009.01.001

Cited by 109 publications

(127 citation statements)

References 68 publications

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“…The calculation of these functions in dimensional regularization is a standard way to determine the splitting functions governing the scale dependence (evolution) of the perturbatively incalculable but process-independent parton and fragmentation distributions. The coefficient functions (partonic cross sections) for DIS and SIA, together with those for inclusive lepton-pair and Higgs-boson production in hadron collisions, facilitate studies of the analytic structure of QCD corrections at and beyond the next-to-next-to-leading order (NNLO) of the renormalization-group improved perturbative expansion [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16], an accuracy that is harder to achieve for less inclusive quantities.…”

Section: Introductionmentioning

confidence: 99%

Generalized threshold resummation in inclusive DIS and semi-inclusive electron-positron annihilation

Almasy

Presti

Vogt

2016

J. High Energ. Phys.

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Abstract:We present analytic all-order results for the highest three threshold logarithms of the space-like and time-like off-diagonal splitting functions and the corresponding coefficient functions for inclusive deep-inelastic scattering (DIS) and semi-inclusive e + e − annihilation. All these results, obtained through an order-by-order analysis of the structure of the corresponding unfactorized quantities in dimensional regularization, can be expressed in terms of the Bernoulli functions introduced by one of us and leading-logarithmic soft-gluon exponentials. The resulting numerical corrections are small for the splitting functions but large for the coefficient functions. In both cases more terms in the threshold expansion need to be determined in order to arrive at quantitatively reliable results.

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Section: Introductionmentioning

confidence: 99%

Generalized threshold resummation in inclusive DIS and semi-inclusive electron-positron annihilation

Almasy

Presti

Vogt

2016

J. High Energ. Phys.

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“…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]. The frontier in the present massless case are now the α 4 s corrections, for which first results have been obtained at the lowest value of N [8,9].…”

Section: Introductionmentioning

confidence: 99%

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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“…to NNLO [4,5,6,7]. For photon and charged current W ± -boson exchange, even the hard corrections at order O(α s 3 ) have been obtained [8,9]. For completeness, we also mention that the approach to polarized DIS is completely analogous.…”

Section: Deep-inelastic Scatteringmentioning

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

Cited by 109 publications

References 68 publications

Generalized threshold resummation in inclusive DIS and semi-inclusive electron-positron annihilation

Generalized threshold resummation in inclusive DIS and semi-inclusive electron-positron annihilation

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

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

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