The calculation of the two-loop spin splitting functions P (1)  ij  ( x )

Mertig, R.; Neerven, W.L. van

doi:10.1007/s002880050138

Cited by 280 publications

(483 citation statements)

References 31 publications

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“…The operator vertices corresponding to the operators (3.1)−(3.3) can e.g. be found in appendix A of [21]. The heavy quark coefficient functions mentioned in the last section require the calculation of the following OME's (see (2.22)).…”

Section: Calculation Of the Two-loop Spin Operator Matrix Elementsmentioning

confidence: 99%

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0(αs2) corrections to polarized heavy flavour production at Q2 ⪢ m2

et al. 1997

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In this paper we present the analytic form of the heavy flavour coefficient functions for polarized deep inelastic lepton-hadron scattering. The expressions are valid in the kinematical regime Q 2 ≫ m 2 where Q 2 and m 2 stand for the masses squared of the virtual photon and heavy quark respectively. Using these coefficient functions we have computed the next-to-leading order α s corrections to polarized charm production at HERA collider energies, where both the electron and proton beams are polarized. We also give an estimate of these corrections at fixed target experiments where the typical Q 2 values are much smaller than at HERA.

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Section: Calculation Of the Two-loop Spin Operator Matrix Elementsmentioning

confidence: 99%

“…The objects P (k) ij (i, j = q, g; k = 0, 1, · · ·) which we will need for (3.18) and the subsequent expressions denote the spin AP-splitting functions which have been calculated up to next-to-leading order in [21], [27]. In lowest order the renormalization group coefficients in (3.18) become…”

Section: The Unrenormalizedâ (N)mentioning

confidence: 99%

0(αs2) corrections to polarized heavy flavour production at Q2 ⪢ m2

et al. 1997

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“…the mixing of the respective partonic operators under renormalization, and are, therefore universal quantities. Evolution equations for polarized DIS with spin dependent splitting functions ∆P i j (known to NLO completely [32,33] and for ∆P qq and ∆P qg to NNLO [34]) derive from Eq. (6) with the simple replacements f i → ∆ f i and P i j → ∆P i j .…”

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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“…where the inclusive spin-dependent nucleon structure function g N 1 (x, Q 2 ) can be written at NLO as a convolution between polarized parton densities for quarks and gluons, ∆q i (x, Q 2 ) and ∆g(x, Q 2 ), respectively, and coefficient functions ∆C i (x) [11]; F N 1 (x, Q 2 ) is the unpolarized nucleon structure function that can be written in terms of F N 2 (x, Q 2 ) and R, the ratio of the longitudinal to transverse cross section [12].…”

Section: Global Fitmentioning

confidence: 99%

Sea quark and gluon polarization in the nucleon

Florian¹,

Navarro²,

Sassot³

2007

Braz. J. Phys.

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We present results on the quark and gluon polarization in the nucleon obtained in a combined next to leading order analysis to the available inclusive and semi-inclusive polarized deep inelastic scattering data. Using the Lagrange multiplier method, we asses the uncertainty inherent to the extraction of the different spin dependent parton densities in a QCD global fit, and the impact of the increased set of semi-inclusive data now available.

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The calculation of the two-loop spin splitting functions P (1) ij ( x )

Cited by 280 publications

References 31 publications

0(αs2) corrections to polarized heavy flavour production at Q2 ⪢ m2

0(αs2) corrections to polarized heavy flavour production at Q2 ⪢ m2

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

Sea quark and gluon polarization in the nucleon

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