Applications of the leading-order Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution equations to the combined HERA data on deep inelastic scattering

Journal Article · Tue Nov 01 00:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.84.094010· OSTI ID:21608016

Block, Martin M; Durand, Loyal; Ha, Phuoc; McKay, Douglas W ^[1]

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1. Department of Physics and Astronomy, Northwestern University, Evanston, Illinois 60208 (United States)

We recently derived explicit solutions of the leading-order Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) equations for the Q{sup 2} evolution of the singlet structure function F{sub s}(x,Q{sup 2}) and the gluon distribution G(x,Q{sup 2}) using very efficient Laplace transform techniques. We apply our results here to a study of the HERA data on deep inelastic ep scattering as recently combined by the H1 and ZEUS groups. We use initial distributions F{sub 2}{sup {gamma}p}(x,Q{sub 0}{sup 2}) and G(x,Q{sub 0}{sup 2}) determined for x<0.1 by a global fit to the HERA data, and extended to x=1 using the shapes of those distributions determined in the CTEQ6L and MSTW2008LO analyses from fits to other data. Our final results are insensitive at small x to the details of the extension. We obtain the singlet quark distribution F{sub s}(x,Q{sub 0}{sup 2}) from F{sub 2}{sup {gamma}p}(x,Q{sub 0}{sup 2}) using small nonsinglet quark distributions taken from either the CTEQ6L or the MSTW2008LO analyses, evolve F{sub s} and G to arbitrary Q{sup 2}, and then convert the results to individual quark distributions. Finally, we show directly from a study of systematic trends in a comparison of the evolved F{sub 2}{sup {gamma}p}(x,Q{sup 2}) with the HERA data that the assumption of leading-order DGLAP evolution is inconsistent with those data.

• OSTI ID: 21608016
• Journal Information: Physical Review. D, Particles Fields, Vol. 84, Issue 9; Other Information: DOI: 10.1103/PhysRevD.84.094010; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPARATIVE EVALUATIONS
DEEP INELASTIC SCATTERING
DISTRIBUTION
EQUATIONS
EVOLUTION
GLUONS
HERA STORAGE RING
LAPLACE TRANSFORMATION
MATHEMATICAL SOLUTIONS
MULTIPARTICLE SPECTROMETERS
PARTICLE IDENTIFICATION
QUARKS
STRUCTURE FUNCTIONS
BOSONS
EVALUATION
FERMIONS
FUNCTIONS
INELASTIC SCATTERING
INTEGRAL TRANSFORMATIONS
INTERACTIONS
LEPTON-BARYON INTERACTIONS
LEPTON-HADRON INTERACTIONS
LEPTON-NUCLEON INTERACTIONS
MEASURING INSTRUMENTS
PARTICLE INTERACTIONS
SCATTERING
SPECTROMETERS
STORAGE RINGS
TRANSFORMATIONS