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

Nath, N. M.; Mukharjee, A.; Das, Mrinal Kumar; Sarma, J. K.

doi:10.1088/0253-6102/66/6/663

Cited by 4 publications

(2 citation statements)

References 74 publications

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“…In addition to the important role played by TMCs at large values of x and moderate Q 2 , the effects of higher twist (HT) corrections are also significant [85][86][87][88][89]. Consequently, in the context of parton distribution analyses, the study of higher twists is also important in its own right.…”

Section: Higher Twist (Ht) Correctionsmentioning

confidence: 99%

Analytic derivation of the next-to-leading order proton structure function F2p(x,Q2) based on the Laplace transformation

Khanpour

Mirjalili

Tehrani³

2017

Phys. Rev. C

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An analytical solution based on the Laplace transformation technique for the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi DGLAP evolution equations is presented at next-to-leading order accuracy in perturbative QCD. This technique is also applied to extract the analytical solution for the proton structure function, F p 2 (x, Q 2 ), in the Laplace s-space. We present the results for the separate parton distributions for all parton species, including valence quark densities, the anti-quark and strange sea parton distribution functions (PDFs), and the gluon distribution. We successfully compare the obtained parton distribution functions and the proton structure function with the results from GJR08 [Eur. Phys. J C 53 (2008) 355-366] and KKT12 [J. Phys. G 40 (2013) 045002] parametrization models as well as the x-space results using QCDnum code. Our calculations show a very good agreement with the available theoretical models as well as the deep inelastic scattering (DIS) experimental data throughout the small and large values of x. The use of our analytical solution to extract the parton densities and the proton structure function is discussed in detail to justify the analysis method considering the accuracy and speed of calculations. Overall, the accuracy we obtain from the analytical solution using the inverse Laplace transform technique is found to be better than 1 part in 10 4 to 10 5 . We also present a detailed QCD analysis of non-singlet structure functions using all available DIS data to perform global QCD fits. In this regard we employ the Jacobi polynomial approach to convert the results from Laplace s space to Bjorken x space. The extracted valence quark densities are also presented and compared to the JR14, MMHT14, NNPDF and CJ15 PDFs sets. We evaluate the numerical effects of target mass corrections (TMCs) and higher twist (HT) terms on various structure functions, and compare fits to data with and without these corrections.

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Section: Higher Twist (Ht) Correctionsmentioning

confidence: 99%

Analytic derivation of the next-to-leading order proton structure function F2p(x,Q2) based on the Laplace transformation

Khanpour

Mirjalili

Tehrani³

2017

Phys. Rev. C

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“…where xF 3 (x, Q 2 ) = xF νp 3 (x, Q 2 )+xF νp 3 (x, Q 2 ), the effective charge a F3 (Q) represents the perturbative contribution to the leading-twist part, and ∆ HT is the power suppressed non-perturbative higher-twist correction [4][5][6][7][8][9][10].…”

mentioning

confidence: 99%

The Gross-Llewellyn Smith sum rule up to ${\cal O}(α_s^4)$-order QCD corrections

Huang,

Wu,

et al. 2021

Preprint

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In the paper, we reanalyze the properties of Gross-Llewellyn Smith (GLS) sum rule by using the O(α 4 s )-order QCD corrections with the help of principle of maximum conformality (PMC). By using the PMC single-scale approach, we obtain an accurate renormalization scale-and-scheme independent pQCD contribution for GLS sum rule, e.g. S GLS (Q 2 0 = 3GeV 2 )|PMC = 2.559 +0.023 −0.024 , where the error is squared average of those from ∆αs(MZ ), the predicted O(α 5 s )-order terms predicted by using the Padé approximation approach. After applying the PMC, a more convergent pQCD series has been obtained, and the contributions from the unknown higher-order terms are highly suppressed. In combination with the nonperturbative high-twist contribution, our final prediction of GLS sum rule agrees well with the experimental data given by the CCFR collaboration.

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The Gross-Llewellyn Smith sum rule up to O(αs4)-order QCD corrections

Huang

Zheng

et al. 2021

Nuclear Physics B

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

Cited by 4 publications

References 74 publications

Analytic derivation of the next-to-leading order proton structure function F2p(x,Q2) based on the Laplace transformation

Analytic derivation of the next-to-leading order proton structure function F2p(x,Q2) based on the Laplace transformation

The Gross-Llewellyn Smith sum rule up to ${\cal O}(α_s^4)$-order QCD corrections

The Gross-Llewellyn Smith sum rule up to O(αs4)-order QCD corrections

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

Cited by 4 publications

References 74 publications

Analytic derivation of the next-to-leading order proton structure function F2p(x,Q2) based on the Laplace transformation

Analytic derivation of the next-to-leading order proton structure function F2p(x,Q2) based on the Laplace transformation

The Gross-Llewellyn Smith sum rule up to ${\cal O}(α_s^4)$-order QCD corrections

The Gross-Llewellyn Smith sum rule up to O(αs4)-order QCD corrections

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