The evolution of parton distributions at small x

R. K. Ellis; Z. Kunszt; E. M. Levin

doi:10.1016/0550-3213(94)90076-0

The evolution of parton distributions at small x

R. K. Ellis^*, Z. Kunszt, E. M. Levin

^*Corresponding author for this work

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

113 Scopus citations

Abstract

We investigate parton distributions at small x using moments of the Gribov-Lipatov-Altarelli-Parisi (GLAP) evolution equation with respect to x. In this representation the kernel of the GLAP equation contains singularities in the moment variable ω at ω = 0. We show that the importance of these singularities at small x depends on the form of the starting distributions. We examine the range of x in which the GLAP equation is valid. The restrictions on the range of x depend on the form of the starting distributions. We investigate whether the GLAP equation can be used to interpolate data in the HERA region. Results are given for the structure function F₂ at small x. A possible method of determining the gluon distribution from F₂ is discussed.

Original language	English
Pages (from-to)	517-549
Number of pages	33
Journal	Nuclear Physics, Section B
Volume	420
Issue number	3
DOIs	https://doi.org/10.1016/0550-3213(94)90076-0
State	Published - 6 Jun 1994
Externally published	Yes

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title = "The evolution of parton distributions at small x",

abstract = "We investigate parton distributions at small x using moments of the Gribov-Lipatov-Altarelli-Parisi (GLAP) evolution equation with respect to x. In this representation the kernel of the GLAP equation contains singularities in the moment variable ω at ω = 0. We show that the importance of these singularities at small x depends on the form of the starting distributions. We examine the range of x in which the GLAP equation is valid. The restrictions on the range of x depend on the form of the starting distributions. We investigate whether the GLAP equation can be used to interpolate data in the HERA region. Results are given for the structure function F2 at small x. A possible method of determining the gluon distribution from F2 is discussed.",

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AU - Ellis, R. K.

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AU - Levin, E. M.

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N2 - We investigate parton distributions at small x using moments of the Gribov-Lipatov-Altarelli-Parisi (GLAP) evolution equation with respect to x. In this representation the kernel of the GLAP equation contains singularities in the moment variable ω at ω = 0. We show that the importance of these singularities at small x depends on the form of the starting distributions. We examine the range of x in which the GLAP equation is valid. The restrictions on the range of x depend on the form of the starting distributions. We investigate whether the GLAP equation can be used to interpolate data in the HERA region. Results are given for the structure function F2 at small x. A possible method of determining the gluon distribution from F2 is discussed.

AB - We investigate parton distributions at small x using moments of the Gribov-Lipatov-Altarelli-Parisi (GLAP) evolution equation with respect to x. In this representation the kernel of the GLAP equation contains singularities in the moment variable ω at ω = 0. We show that the importance of these singularities at small x depends on the form of the starting distributions. We examine the range of x in which the GLAP equation is valid. The restrictions on the range of x depend on the form of the starting distributions. We investigate whether the GLAP equation can be used to interpolate data in the HERA region. Results are given for the structure function F2 at small x. A possible method of determining the gluon distribution from F2 is discussed.

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The evolution of parton distributions at small x

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