The QCD renormalization scale stability of high twists and αs in deep inelastic scattering

Alekhin, S.

doi:10.1016/s0370-2693(00)00865-0

Cited by 5 publications

(8 citation statements)

References 12 publications

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“…This is in line with the conclusion of Ref. [26] that the HO corrections can successfully simulate power behavior in narrow region of x close to 0.1 only. This is also in agreement with the results of Ref.…”

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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“…This does not come as a surprise since the main systematic error shift in [8] was obtained only from a NLO fit, and it strongly depends on the theoretical input. It seems to be reasonable to assume that an α s (M Z ) of about 0.116 ÷ 0.118 would be obtained in our fits once the correlations between different sources of systematical errors are properly taken into account as in [10,11]. This is however far beyond the scope of our more qualitative studies.…”

mentioning

confidence: 92%

“…At present, data on the unpolarized structure function F 2 obtained quite some time ago by the CERN-BCDMS and various SLAC experiments [7] still offer the best testing ground for HT studies since they cover a wide kinematical range up to large x and down to low values of Q 2 with sufficiently good statistical accuracy. Therefore several attempts have been already made to disentangle leading and higher twist contributions to F 2 [8][9][10][11][12][13][14].…”

mentioning

confidence: 99%

“…This is also the region where the estimates for the NNLO kernels P work extremely well [18]. As in [10][11][12][13] we then apply the non-singlet ('valence') approximation for F 2 and only a single combination of parton densities f is required for proton target data 5 (we will comment below on a possible 'contamination' of the scaling violations of F 2 at large x due to singlet and gluon contributions). In addition we select only data with Q 2 ≥ 1.2 GeV 2 to stay away from the resonance region and the region where the perturbative expansion is expected to break down since α s becomes too large.…”

mentioning

confidence: 99%

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

Schaefer¹,

Schäfer²,

Stratmann³

2001

Physics Letters B

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The impact of recently calculated next-to-next-to-leading order QCD corrections and soft gluon resummations on the extraction of higher twist contributions to the deep-inelastic structure function F 2 is studied using the BCDMS and SLAC data. It is demonstrated to which extent the need for higher twist terms is diminishing due to these higher order effects in the kinematical region, 0.35 ≤ x ≤ 0.85 and Q 2 > 1.2 GeV 2 , investigated.In addition, theoretical uncertainties in the extraction of higher twist contributions are discussed, and comparisons to results obtained previously are made.

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“…These include O(1/Q2) contributions such as jet mass corrections [60] and soft gluon resummation [61], as well as contributions which are of higher order in α s but whose logarithmic Q 2 behavior mimics terms ∝ 1 Q 2 at low virtuality [47,62].…”

Section: Higher Twist Corrections On Structure Functionsmentioning

confidence: 99%

xF ₃ ( x,Q ² ) Structure Function and Gross-Llewellyn Smith Sum Rule with Nuclear Effect and Higher Twist Correction

Nath

Mukharjee

Das

et al. 2016

Commun. Theor. Phys.

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We present an analysis of the xF3(x, Q 2 ) structure function and Gross-Llewellyn Smith(GLS) sum rule taking into account the nuclear effects and higher twist correction. This analysis is based on the results presented in "N. M. Nath et al., Indian J Phys 90(1), 117 (2016)". The corrections due to nuclear effects predicted in several earlier analysis are incorporated to our results of xF3(x, Q 2 ) structure function and GLS sum rule for free nucleon, corrected upto next-next-to-leading order (NNLO) perturbative order and calculate the nuclear structure function as well as sum rule for nuclei. In addition, by means of a simple model we have extracted the higher twist contributions to the non-singlet structure function xF3(x, Q 2 ) and GLS sum rule in NNLO perturbative orders and then incorporated them to our results. Our NNLO results along with nuclear effect and higher twist corrections are observed to be compatible with corresponding experimental data and other phenomenological analysis.

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The QCD renormalization scale stability of high twists and αs in deep inelastic scattering

Cited by 5 publications

References 12 publications

Parton distributions from deep-inelastic-scattering data

Parton distributions from deep-inelastic-scattering data

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

xF ₃ ( x,Q ² ) Structure Function and Gross-Llewellyn Smith Sum Rule with Nuclear Effect and Higher Twist Correction

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The QCD renormalization scale stability of high twists and αs in deep inelastic scattering

Cited by 5 publications

References 12 publications

Parton distributions from deep-inelastic-scattering data

Parton distributions from deep-inelastic-scattering data

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

xF 3 ( x,Q 2 ) Structure Function and Gross-Llewellyn Smith Sum Rule with Nuclear Effect and Higher Twist Correction

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Product

Resources

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xF ₃ ( x,Q ² ) Structure Function and Gross-Llewellyn Smith Sum Rule with Nuclear Effect and Higher Twist Correction