Analysis of DIS structure functions of the nucleon within truncated Mellin moments approach

Kotlorz, D.; Kotlorz, A.

doi:10.1142/s0217751x16501815

Cited by 9 publications

(6 citation statements)

References 26 publications

(39 reference statements)

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“…The CMM approach has already been successfully applied, e.g., in spin physics to derive a generalization of the Wandzura-Wilczek relation in terms of the truncated moments and to obtain the evolution equation for the structure function g 2 [13,14]. The advantages of the CMM approach to QCD factorization for DIS structure functions were also presented in [15]. The truncation of the moments in the upper limit is less important in comparison to the low-x limit because of the rapid decrease of the parton densities as x → 1; nevertheless, a comprehensive theoretical analysis requires an equal treatment of both truncated limits.…”

Section: Introductionmentioning

confidence: 99%

Cut moments approach in the analysis of DIS data

Kotlorz

Михайлов²,

Teryaev³

et al. 2017

Phys. Rev. D

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We review the main results on the generalization of the DGLAP evolution equations within the cut Mellin moments (CMM) approach, which allows one to overcome the problem of kinematic constraints in Bjorken x. CMM obtained by multiple integrations as well as multiple differentiations of the original parton distribution also satisfy the DGLAP equations with the simply transformed evolution kernel. The CMM approach provides novel tools to test QCD; here we present one of them. Using appropriate classes of CMM, we construct the generalized Bjorken sum rule that allows us to determine the Bjorken sum rule value from the experimental data in a restricted kinematic range of x. We apply our analysis to COMPASS data on the spin structure function g1.

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Section: Introductionmentioning

confidence: 99%

Cut moments approach in the analysis of DIS data

Kotlorz

Михайлов²,

Teryaev³

et al. 2017

Phys. Rev. D

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“…When integrating the structure functions over (finite intervals of) x, one obtains the (truncated) moments of the structure functions [519,520]. The leading twist term is associated with incoherent scattering with individual partons in the nucleon [521][522][523], while the higher twist corrections capture elements of long-distance, nonperturbative quark-gluon dynamics associated with color confinement in QCD [524,525]. Duality is interpreted as the dominance of the leading twist and the consequent suppression of higher twist contributions to the moments [526].…”

Section: Nucleon Resonance Contributions To Inclusive Electron Scatte...mentioning

confidence: 99%

Novel approaches in Hadron Spectroscopy

Albaladejo,

Bibrzycki,

Dawid

et al. 2021

Preprint

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The last two decades have witnessed the discovery of a myriad of new and unexpected hadrons. The future holds more surprises for us, thanks to new-generation experiments. Understanding the signals and determining the properties of the states requires a parallel theoretical effort. To make full use of available and forthcoming data, a careful amplitude modeling is required, together with a sound treatment of the statistical uncertainties, and a systematic survey of the model dependencies. We review the contributions made by the Joint Physics Analysis Center to the field of hadron spectroscopy.

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“…This multi-point ({z i , A i } n 1 ) ansatz is a generalization of the previous two-point ({z 1 , z 2 , A}) one, Eq. (7), and leads to a new presentation for Γ 1; ω ,…”

Section: Generalized Bjorken Sum Rulementioning

confidence: 99%

“…The evolution equations for cut moments and their applications to the quark-hadron duality were discussed in [6]. The collinear factorization formula for DIS structure functions in terms of TMM, together with its advantages was given in [7]. A valuable generalization of the TMM approach incorporating multiple integrations as well as multiple differentiations of the original parton distribution was developed in [8].…”

Section: Introductionmentioning

confidence: 99%