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

Abstract

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.

Holographic charge excitation on a horizontal boundary

“…In the NNLO analysis of Ref. 3 vanishing of the HT term in the neutrino-nucleon structure function xF 3 was observed, but in this case we see no disagreement with our results since error in H 3 obtained in Ref. 3 is about order of magnitude larger than magnitude of H 2 obtained in our analysis.…”

“…3 vanishing of the HT term in the neutrino-nucleon structure function xF 3 was observed, but in this case we see no disagreement with our results since error in H 3 obtained in Ref. 3 is about order of magnitude larger than magnitude of H 2 obtained in our analysis. If the magnitudes of H 2 and H 3 are not very different, the conclusive study of the latter is possible only if it is determined with the precision O(0.01) GeV 2 , which can be achieved in experiments with luminositities typical for the proposed neutrino factories 12 .…”

“…If such simulation does take place, the HT terms observed in NLO should decrease with account of the HO corrections (see Ref. 3 and references therein).…”

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

“…(1), (2) and (3) were observed to be consistent with the available experimental data taken from CCFR [10,11], NuTeV [12], CHORUS [13] and CDHSW [14] collaborations as well as with several other strong analysis performed by MRST98 [15], CTEQ4 [16], KPS [17] and KS [18] for xF 3 (x, Q 2 ) structure functions. The phenomenological success achieved in this regard inspired us to utilise these results in determining the GLS sum rule, which is associated with xF 3 (x, Q 2 ) structure function.…”

“…Early analysis [40,41] suggested a significant HT contribution to the longitudinal structure function F L . The subsequent studies with both charged leptons [42][43][44] and neutrinos [17] raised the question of a possible dependence on order of QCD calculation used for the leading twist. The common wisdom is generally that HTs only affect the region of Q 2 ∼ 1 − 3GeV 2 and can be neglected in the extraction of the leading twist.…”