Deep-inelastic structure functions at two loops

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

doi:10.1016/s0550-3213(00)00045-6

Cited by 230 publications

(302 citation statements)

References 69 publications

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“…From these functions the x-space expressions can be reconstructed algebraically [20,43] in terms of harmonic polylogarithms [41][42][43]. As in the case of F 2,L in electromagnetic DIS presented before [17,18], the exact third-order expressions are unpleasantly long in both N-space and x-space.…”

Section: Resultsmentioning

confidence: 99%

“…After inserting the QCD values of the colour factors C F and C A , the exact two-loop coefficient function (A.3) first obtained in Refs. [6,20] can be represented by…”

Section: Resultsmentioning

confidence: 99%

“…[15][16][17][18][19][20], we derive analytic expressions for the Mellin moments of the perturbative contribution to structure functions, which for the present case are defined as To this end we make use of the optical theorem relating the hadronic tensor in Eq. (2.2) to the imaginary part of the forward Compton amplitude T µν of virtual gauge-boson -nucleon scattering.…”

Section: Formalism and Calculationmentioning

confidence: 99%

“…As before in Refs. [11,14,15,20] we employ the so-called Larin scheme [11,26] which, at the present level, is equivalent to, but computationally more convenient than the original prescription [27,28] for consistently dealing with γ 5 in dimensional regularization. See also the discussion in Ref.…”

Section: Formalism and Calculationmentioning

confidence: 99%

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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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Section: Resultsmentioning

confidence: 99%

“…After inserting the QCD values of the colour factors C F and C A , the exact two-loop coefficient function (A.3) first obtained in Refs. [6,20] can be represented by…”

Section: Resultsmentioning

confidence: 99%

Section: Formalism and Calculationmentioning

confidence: 99%

Section: Formalism and Calculationmentioning

confidence: 99%

See 2 more Smart Citations

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

2009

Self Cite

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“…In the case of inclusive unpolarized DIS, the coefficient functions C k,i are available to O(α s 2 ), i.e. 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].…”

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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Calculating Four-Loop Corrections in QCD

Moch

Magerya

2021

Texts &Amp; Monographs in Symbolic Computation

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We review the current status of perturbative corrections in QCD at four loops for scattering processes with space-and time-like kinematics at colliders, with specific focus on deep-inelastic scattering and electron-positron annihilation. The calculations build on the parametric reduction of loop and phase space integrals up to four-loop order using computer algebra programs such as Form, designed for large scale computations.

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Deep-inelastic structure functions at two loops

Cited by 230 publications

References 69 publications

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

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

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

Calculating Four-Loop Corrections in QCD

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