The effect of 1Q2 and αs corrections on tests of QCD

Abbott, L. F.; Barnett, R. M.

doi:10.1016/0003-4916(80)90136-0

Cited by 93 publications

(29 citation statements)

References 61 publications

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“…At the beginning of these studies it was realized that the twist-4 contributions to structure functions should have the pole-like behavior ∼ 1/((1 − x)Q 2 ) [57,58]. This behavior was used in the phenomenological investigations of the earlier less precise DIS νN data [59,60,61], which together with other different procedures of analyzing neutrino DIS data [62,63] was considered as the source of the information about scaling violation parameters. The development of the renormalon technique (See Refs.…”

Section: ) M Smentioning

confidence: 99%

Higher twists and αs(MZ) extractions from the NNLO QCD analysis of the CCFR data for the xF3 structure function

2000

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Higher twists and α s (M Z ) extractions from the NNLO QCD analysis of the CCFR data for the xF 3 structure function. Abstract A detailed next-to-next-to-leading order (NNLO) QCD analysis is performed for the experimental data of the CCFR collaboration for the xF 3 structure function. Theoretical ambiguities of the results of our NNLO fits are estimated by application of the Padé resummation technique and variation of the factorization and renormalization scales. The NNLO and N 3 LO α s (Q 2 ) M S-matching conditions are used. In the process of the fits we are taking account of twist-4 1/Q 2 -terms. We found that the amplitude of the x-shape of the twist-4 factor is decreasing in NLO and NNLO, though some remaining twist-4 structure seems to retain in NNLO in the case when only statistical uncertainties are taken into account. The question of the stability of these results to the application of the [0/2] Padé resummation technique is considered. Our NNLO results for α s (M Z ) values, extracted from the CCFR xF 3 data, are α s (M Z ) = 0.118 ± 0.002(stat) ± 0.005(syst) ± 0.003(theory) provided the twist-4 contributions are fixed through the infrared renormalon model and α s (M Z ) = 0.121 +0.007 −0.010 (stat) ± 0.005(syst) ± 0.003(theory) provided the twist-4 terms are considered as free parameters.

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Section: ) M Smentioning

confidence: 99%

Higher twists and αs(MZ) extractions from the NNLO QCD analysis of the CCFR data for the xF3 structure function

2000

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“…This test of QCD was not very severe. One reason is the neglect of higher twists [33]. Furthermore it is not possible, event by event, to measure the neutrino energy.…”

Section: The Irony Of Scaling In Neutrino Scatteringmentioning

confidence: 99%

Archeology and evolution of QCD

Rújula

2017

EPJ Web Conf.

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Abstract. These are excerpts from the closing talk at the "XIIth Conference on Quark Confinement and the Hadron Spectrum", which took place last Summer in Thessaloniki -an excellent place to enjoy an interest in archeology. A more complete personal view of the early days of QCD and the rest of the Standard Model is given in [1]. Here I discuss a few of the points which -to my judgement-illustrate well the QCD evolution (in time), both from a scientific and a sociological point of view.

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“…The extraction of higher twist terms from the data is a longstanding problem, as recognized from the very first developments of a pQCD phenomenology [38,39]. Existing information about higher twist terms in lepton-nucleon structure functions is scarce and somewhat controversial.…”

Section: Higher Twist Corrections On Structure Functionsmentioning

confidence: 99%

“…A better understanding of HT terms, in particular their role in describing low Q 2 and high x DIS data is important and provides valuable information on quark gluon correlations inside the nucleon. The importance of higher twist (HT) contribution to structure functions was pointed from the very beginning of QCD in comparison with experimental data [38] on structure functions. Several reports are available on the determination of the higher twist contributions in the electron-DIS structure functions F ep,ed 2 (x, Q 2 )(see [46][47][48] for details)as well as neutrino-DIS structure function xF 3 (x, Q 2 ) [49][50][51][52][53].…”

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 effect of 1Q2 and αs corrections on tests of QCD

Cited by 93 publications

References 61 publications

Higher twists and αs(MZ) extractions from the NNLO QCD analysis of the CCFR data for the xF3 structure function

Higher twists and αs(MZ) extractions from the NNLO QCD analysis of the CCFR data for the xF3 structure function

Archeology and evolution of QCD

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 effect of 1Q2 and αs corrections on tests of QCD

Cited by 93 publications

References 61 publications

Higher twists and αs(MZ) extractions from the NNLO QCD analysis of the CCFR data for the xF3 structure function

Higher twists and αs(MZ) extractions from the NNLO QCD analysis of the CCFR data for the xF3 structure function

Archeology and evolution of QCD

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

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