Nonsinglet parton distribution functions from the precise next-to-next-to-next-to leading order QCD fit

Journal Article · Fri Jan 01 04:00:00 EST 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.014013· OSTI ID:21408962

Khorramian, Ali N ^[1]; Khanpour, H ^[1]; Tehrani, S Atashbar ^[2]

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1. Physics Department, Semnan University, P.O. Box 35195-363, Semnan (Iran, Islamic Republic of)
2. School of Particles and Accelerators, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531, Tehran (Iran, Islamic Republic of)

We present the results of our QCD analysis for nonsinglet unpolarized quark distributions and structure function F{sub 2}(x,Q{sup 2}) up to next-to-next-to-next-to leading order (N{sup 3}LO). In this regards 4-loop anomalous dimension can be obtained from the Pade approximations. The analysis is based on the Jacobi polynomials expansion of the structure function. New parameterizations are derived for the nonsinglet quark distributions for the kinematic wide range of x and Q{sup 2}. Our calculations for nonsinglet unpolarized quark distribution functions up to N{sup 3}LO are in good agreement with available theoretical models. The higher twist contributions of F{sub 2}{sup p,d}(x,Q{sup 2}) are extracted in the large x region in N{sup 3}LO analysis. The values of {Lambda}{sub QCD} and {alpha}{sub s}(M{sub z}{sup 2}) are determined.

• OSTI ID: 21408962
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 1 Vol. 81; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANOMALOUS DIMENSION
APPROXIMATIONS
CALCULATION METHODS
DISTRIBUTION
DISTRIBUTION FUNCTIONS
EXPANSION
FERMIONS
FIELD THEORIES
FUNCTIONS
PADE APPROXIMATION
POLYNOMIALS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARKS
SCALE DIMENSION
SIMULATION
STRUCTURE FUNCTIONS