Impact of higher order and soft gluon corrections on the extraction of higher twist effects in DIS

Schaefer, Stefan; Schäfer, Andreas; Stratmann, M.

doi:10.1016/s0370-2693(01)00809-7

Cited by 23 publications

(28 citation statements)

References 58 publications

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“…This is also in agreement with the results of Ref. [27] (the effects of soft gluon resummation considered in Ref. [27] are important at x 0.8 only and cannot further decrease the value of HT terms in our case).…”

Section: Other Theoretical Errorssupporting

confidence: 93%

Parton distributions from deep-inelastic-scattering data

2003

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We perform the analysis of existing light-targets deep-inelasticscattering (DIS) data in the leading-order (LO), next-to-leading-order (NLO), and next-to-next-to-leading-order (NNLO) QCD approximations and extract PDFs simultaneously with the value of the strong coupling constant α s and the high-twist contribution to the structure functions. The main theoretical uncertainties and experimental uncertainties due to all sources of experimental errors in data are estimated, the latter generally dominate for the obtained PDFs. The uncertainty in Higgs boson production cross section due to errors in PDFs is ∼ 2% for the LHC and varies from 2% to 10% for the Fermilab collider under variation of the Higgs boson mass from 100 GeV to 300 GeV. For the W -boson production cross section the uncertainty is ∼ 2% for the both colliders. The value of α NNLO s (M Z ) = 0.1143 ± 0.0014(exp.) is obtained, while the high-twist terms do not vanish up to the NNLO as required by comparison to data.

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Section: Other Theoretical Errorssupporting

confidence: 93%

Parton distributions from deep-inelastic-scattering data

2003

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“…Note also that the HT term in the nonsinglet part of F p 2 obtained in the NNLO analysis of Ref. 11 does not vanish. In the NNLO analysis of Ref.…”

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confidence: 84%

Holographic charge excitation on a horizontal boundary

Hotta

2002

Phys. Rev. D

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We perform pQCD analysis of the existing DIS data for charged leptons with account of corrections up to the NNLO. The parton distributions, value of strong coupling constant, and high-twist terms are extracted and their stability with respect to account of the NNLO corrections is analyzed. All the quantities are generally stable within their experimental errors. Obtained value of the strong coupling constant is α NNLO Perturbative method is a powerful tool of the modern quantum field theory. In particular, analysis of the deep-inelastic-scattering (DIS) data in terms of perturbative QCD (pQCD) allows for quantitative description of this process and extraction of parton distribution functions (PDFs) together with value of the strong coupling constant α s , which can be used for calculation of the cross sections for other processes with hadronic beams and targets and check of self-consistency of Standard Model. The common practice for analysis of such kind is to take into account only the O(α s ) (or next-to-leading-order (NLO)) corrections to the DIS cross sections since the next-to-next-to-leading-order (NNLO) corrections has not been completely calculated yet. Meanwhile the value of α s is rather large at the values of transferred momentum Q typical for existing DIS data and the higher-order (HO) correction may have impact on the value of extracted quantities. Particular important is to know the HO PDFs that is motivated by the need to calculate precise value of the Higgs boson production cross section since these calculations require account of the HO QCD corrections 1 and corresponding HO PDFs as consistent input. Account of the HO corrections is also important for reducing the total uncertainty in the value of α s determined from the existing DIS data since the theoretical error due to HO corrections dominates the error in value of α s obtained in the NLO approximation 2 . Besides, account of HO corrections is necessary for clarification of nature of the 1/Q 2 terms, which are apparent in the NLO analysis of DIS data. These terms correspond to the high-twist (HT) contributions, but also can be simulated by the HO contributions since they are proportional to factors [α s (Q)] n

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“…On the 12 We are grateful to J. W. Qiu for drawing to our attention to this paper. 13 Some phenomenological evidence of such suppression was found in [37], in the case of the thrust distribution in e + e − annihilation, barring hadron mass corrections.…”

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confidence: 99%

“…(64). We must stress, that the suppression of such multi-gluon contributions to the non-perturbative exponent is not at all obvious, and it remains to be checked 13 . On the 12 We are grateful to J. W. Qiu for drawing to our attention to this paper.…”

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confidence: 99%

Power corrections in deep inelastic structure functions at large Bjorken x

et al. 2002

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We study power corrections to the spin-averaged structure functions F 2 and F L in the semi-inclusive region. The dramatic breakdown of the operator product expansion at large Bjorken x due to the formation of a narrow jet with invariant mass W (W 2 = Q 2 (1 − x)/x) calls for an alternative approach. Our main conjecture is that the dominant contribution at each twist is the one which mixes under renormalization with the leading twist (ultraviolet dominance). At twist two the dominant perturbative corrections at large x due to soft and collinear radiation can be factorized into a jet function. From the ultraviolet dominance conjecture it follows that the twist two parton distribution as well as the jet function actually factorize to any order in the twist expansion. This factorization suggests that non-perturbative corrections ∼ 1/W 2n exponentiate together with the leading twist. We verify explicitly, at the level of a single dressed gluon, the cancellation between ambiguities due to infrared renormalons in the twist-two coefficient functions and those due to the ultraviolet divergence of twist-four matrix elements. Independently of the renormalon analysis, we show that the dominant contribution to twist four at large x is associated with a twist-two like configuration: the final states are identical to those of twist two, whereas the initial states differ just by additional partons carrying small momentum fractions. This picture is consistent with the ultraviolet dominance conjecture.

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Impact of higher order and soft gluon corrections on the extraction of higher twist effects in DIS

Cited by 23 publications

References 58 publications

Parton distributions from deep-inelastic-scattering data

Parton distributions from deep-inelastic-scattering data

Holographic charge excitation on a horizontal boundary

Power corrections in deep inelastic structure functions at large Bjorken x

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