The 3-loop QCD calculation of the moments of deep inelastic structure functions

Larin, S.A.; Nogueira, P.; Ritbergen, T. van; Vermaseren, J. A. M.

doi:10.1016/s0550-3213(97)80038-7

Cited by 239 publications

(322 citation statements)

References 63 publications

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“…At present, the NNLO evolution of the distribution functions can not be performed since the required three-loop splitting functions are not known. Nevertheless, a significant number of moments of the splitting functions is available [27], and this information can be combined with the known behavior at small x [28], to obtain a useful approximation for the NNLO splitting functions [29]. In Ref.…”

Section: Numerical Resultsmentioning

confidence: 99%

Higgs boson production at hadron colliders in NNLO QCD

2002

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We compute the total cross-section for direct Higgs boson production in hadron collisions at NNLO in perturbative QCD. A new technique which allows us to perform an algorithmic evaluation of inclusive phase-space integrals is introduced, based on the Cutkosky rules, integration by parts and the differential equation method for computing master integrals. Finally, we discuss the numerical impact of the O(α 2 s ) QCD corrections to the Higgs boson production cross-section at the LHC and the Tevatron.

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Section: Numerical Resultsmentioning

confidence: 99%

Higgs boson production at hadron colliders in NNLO QCD

2002

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“…[35] to order α 4 s , has been taken. The determination of flavour-singlet quantities from the physical kernels is neither rigorous, nor -unlike in flavour non-singlet cases [17,18] -can it be extended to all orders in α s .…”

Section: Discussionmentioning

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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“…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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The 3-loop QCD calculation of the moments of deep inelastic structure functions

Cited by 239 publications

References 63 publications

Higgs boson production at hadron colliders in NNLO QCD

Higgs boson production at hadron colliders in NNLO QCD

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

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

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