How to perform a QCD analysis of DIS in analytic perturbation theory

Ayala, César; Михайлов, С. В.

doi:10.1103/physrevd.92.014028

Cited by 21 publications

(14 citation statements)

References 73 publications

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“…The method we employed in this paper is based on the Jacobi polynomials expansion of the polarized structure functions. Practical aspects of this method including its major advantages are presented in our previous studies [13,[31][32][33][34] and also other literature [35][36][37][38][39][40][41][42][43][44][45][46][47]. Here, we outline a brief review of this method.…”

Section: B Jacobi Polynomials Approachmentioning

confidence: 99%

Nucleon spin structure functions at NNLO in the presence of target mass corrections and higher twist effects

Khanpour

Monfared

Tehrani³

2017

Phys. Rev. D

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We extract polarized parton distribution functions (PPDFs), referred to as "KTA17," together with the highly correlated strong coupling αs from recent and up-to-date g1 and g2 polarized structure functions world data at next-to-next-to-leading order in perturbative QCD. The stability and reliability of the results are ensured by including nonperturbative target mass corrections as well as higher-twist terms which are particularly important at the large-x region at low Q 2 . Their role in extracting the PPDFs in the nucleon is studied. Sum rules are discussed and compared with other results from the literature. This analysis is made by means of the Jacobi polynomials expansion technique to the DGLAP evolution. The uncertainties on the observables and on the PPDFs throughout this paper are computed using standard Hessian error propagation which served to provide a more realistic estimate of the PPDFs uncertainties.

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Section: B Jacobi Polynomials Approachmentioning

confidence: 99%

Nucleon spin structure functions at NNLO in the presence of target mass corrections and higher twist effects

Khanpour

Monfared

Tehrani³

2017

Phys. Rev. D

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“…For the unphysical cut, i.e. 0 < Q 2 < Λ 2 , this spectral function is set equal to zero [12]. Following the same dispersion relation, based on the APT framework, the images A n (Q 2 ) of integer powers which are related to a n s (Q 2 ) can also be constructed.…”

Section: An Overview On Different Aspects Of Analytic Perturbatiomentioning

confidence: 99%

“…It can be proved that at one loop approximation, ϕ (1) and R (1) in Eq. (2) have the simplest presentations and are given by [12]:…”

Section: An Overview On Different Aspects Of Analytic Perturbatiomentioning

confidence: 99%

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Nonsinglet polarized nucleon structure function in infrared-safe QCD

2019

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Deep inelastic scattering is investigated here as a tool to probe the polarized nucleon structure function in nonsinglet case. During the solution of evolution equations in moment space we will encounter with non-integer power of coupling constant. Therefore it is possible to use the approach of fractional analytical perturbation theory (FAPT). Using this approach, the singularity of renormalized coupling constant is removed at Q = Λ scale as Landau pole and an opportunity would be performed to employ the perturbative calculations at small values of energy scales even less than Λ sclae. To modify the analytical perturbation theory, a newer approach is introduced, called 2δanQCD in which the analytical coupling constant at low energy region is controlling by two delta functions. This model give us more reliable results for the concerned QCD observable and ends up with safe infrared result. We intend to calculate the nonsinglet part of polarized nucleon structure function, using 2δanQCD model and compare it with the result from conventional perturbative QCD (pQCD). For this purposes we employ anQCD package in Mathematica environment to establish the analytic coupling constant. The results at some energy scales are also compared with the available experimental data which involves good consistency with them. Investigating the results indicates that the nucleon structure function at small energy scales contain smoother behaviour, using 2δanQCD model than the conventional pQCD. It is due to the more converging consequence of pertutbative series in the analytic perturbation theory. We also consider the Q 2 dependence of Bjorken sum rule (BSR), using 2δanQCD model. There is good agreement between the available experimental data for BSR and the result from utilized model, specially at low energy scales.

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“…The method employed in the SMKA18 QCD analysis is based on the Jacobi polynomials expansion of the spindependent structure functions. Practical aspects of this method including its major advantages are presented in our previous studies [19,20,41,42] as well as other literature [76][77][78][79][80][81][82][83][84][85][86][87][88]. Since the basic idea of Jacobi polynomials can be found in the mentioned references, we outline a brief review of this method.…”

Section: Leading-twist Spin-dependent Dis Structure Function Andmentioning

confidence: 99%

Analytical approaches to the determination of spin-dependent parton distribution functions at NNLO approximation

et al. 2018

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In this paper, we present "SMKA18" analysis which is a first attempt to extract the set of nextto-next-leading-order (NNLO) spin-dependent parton distribution functions (spin-dependent PDFs) and their uncertainties determined through the Laplace transform technique and Jacobi polynomial approach. Using the Laplace transformations, we present an analytical solution for the spindependent Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution equations at NNLO approximation. The results are extracted using a wide range of proton g p 1 (x, Q 2 ), neutron g n 1 (x, Q 2 ) and deuteron g d 1 (x, Q 2 ) spin-dependent structure functions dataset including the most recent high-precision measurements from COMPASS16 experiments at CERN which are playing an increasingly important role in global spin-dependent fits. The careful estimations of uncertainties have been done using the standard "Hessian error" propagation. We will compare our results with the available spin-dependent inclusive deep inelastic scattering dataset and other results for the spin-dependent PDFs in literature.The results obtained for the spin-dependent PDFs as well as spin-dependent structure functions are clearly explained both in the small and large values of x.

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How to perform a QCD analysis of DIS in analytic perturbation theory

Cited by 21 publications

References 73 publications

Nucleon spin structure functions at NNLO in the presence of target mass corrections and higher twist effects

Nucleon spin structure functions at NNLO in the presence of target mass corrections and higher twist effects

Nonsinglet polarized nucleon structure function in infrared-safe QCD

Analytical approaches to the determination of spin-dependent parton distribution functions at NNLO approximation

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