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

César Ayala; S. V. Mikhailov

doi:10.1103/PhysRevD.92.014028

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

César Ayala
, S. V. Mikhailov

University of Valencia
Joint Institute for Nuclear Research

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

Abstract

We apply (fractional) analytic perturbation theory (FAPT) to the QCD analysis of the nonsinglet nucleon structure function F2(x,Q2) in deep inelastic scattering up to the next leading order and compare the results with ones obtained within the standard perturbation QCD. Based on a popular parametrization of the corresponding parton distribution we perform the analysis within the Jacobi polynomial formalism and under the control of the numerical inverse Mellin transform. To reveal the main features of the FAPT two-loop approach, we consider a wide range of momentum transfer from high Q2∼100GeV2 to low Q2∼0.3GeV2 where the approach still works.

Original language	English
Article number	014028
Journal	Physical Review D - Particles, Fields, Gravitation and Cosmology
Volume	92
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevD.92.014028
State	Published - 27 Jul 2015
Externally published	Yes

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title = "How to perform a QCD analysis of DIS in analytic perturbation theory",

abstract = "We apply (fractional) analytic perturbation theory (FAPT) to the QCD analysis of the nonsinglet nucleon structure function F2(x,Q2) in deep inelastic scattering up to the next leading order and compare the results with ones obtained within the standard perturbation QCD. Based on a popular parametrization of the corresponding parton distribution we perform the analysis within the Jacobi polynomial formalism and under the control of the numerical inverse Mellin transform. To reveal the main features of the FAPT two-loop approach, we consider a wide range of momentum transfer from high Q2∼100GeV2 to low Q2∼0.3GeV2 where the approach still works.",

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AU - Mikhailov, S. V.

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N2 - We apply (fractional) analytic perturbation theory (FAPT) to the QCD analysis of the nonsinglet nucleon structure function F2(x,Q2) in deep inelastic scattering up to the next leading order and compare the results with ones obtained within the standard perturbation QCD. Based on a popular parametrization of the corresponding parton distribution we perform the analysis within the Jacobi polynomial formalism and under the control of the numerical inverse Mellin transform. To reveal the main features of the FAPT two-loop approach, we consider a wide range of momentum transfer from high Q2∼100GeV2 to low Q2∼0.3GeV2 where the approach still works.

AB - We apply (fractional) analytic perturbation theory (FAPT) to the QCD analysis of the nonsinglet nucleon structure function F2(x,Q2) in deep inelastic scattering up to the next leading order and compare the results with ones obtained within the standard perturbation QCD. Based on a popular parametrization of the corresponding parton distribution we perform the analysis within the Jacobi polynomial formalism and under the control of the numerical inverse Mellin transform. To reveal the main features of the FAPT two-loop approach, we consider a wide range of momentum transfer from high Q2∼100GeV2 to low Q2∼0.3GeV2 where the approach still works.

UR - https://www.scopus.com/pages/publications/84939208956

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DO - 10.1103/PhysRevD.92.014028

M3 - Article

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SN - 1550-7998

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JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

IS - 1

M1 - 014028

ER -

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

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