# Generalizing the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi Evolution of Fragmentation Functions to the Smallest x Values

## Abstract

An approach valid to any order which unifies the fixed order Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution of fragmentation functions at large x with soft gluon logarithmic resummation at small x is proposed. At lowest order, this approach, implemented with the double logarithmic approximation, reproduces exactly the modified leading logarithm approximation but is more complete due to the degrees of freedom given to the quark sector and the inclusion of the fixed order terms. We find that data from the largest x values to the peak region can be better fitted than with other approaches.

- Authors:

- II. Institut fuer Theoretische Physik, Universitaet Hamburg, Luruper Chaussee 149, 22761 Hamburg (Germany)
- MPI fuer Physik, Foehringer Ring 6, 80805 Munich (Germany)

- Publication Date:

- OSTI Identifier:
- 20699643

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review Letters; Journal Volume: 95; Journal Issue: 23; Other Information: DOI: 10.1103/PhysRevLett.95.232002; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; DEGREES OF FREEDOM; FUNCTIONS; GLUONS; MATHEMATICAL EVOLUTION; NUCLEAR FRAGMENTATION; QUANTUM CHROMODYNAMICS; QUARKS

### Citation Formats

```
Albino, S., Kniehl, B.A., Kramer, G., and Ochs, W.
```*Generalizing the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi Evolution of Fragmentation Functions to the Smallest x Values*. United States: N. p., 2005.
Web. doi:10.1103/PhysRevLett.95.232002.

```
Albino, S., Kniehl, B.A., Kramer, G., & Ochs, W.
```*Generalizing the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi Evolution of Fragmentation Functions to the Smallest x Values*. United States. doi:10.1103/PhysRevLett.95.232002.

```
Albino, S., Kniehl, B.A., Kramer, G., and Ochs, W. Fri .
"Generalizing the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi Evolution of Fragmentation Functions to the Smallest x Values". United States.
doi:10.1103/PhysRevLett.95.232002.
```

```
@article{osti_20699643,
```

title = {Generalizing the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi Evolution of Fragmentation Functions to the Smallest x Values},

author = {Albino, S. and Kniehl, B.A. and Kramer, G. and Ochs, W.},

abstractNote = {An approach valid to any order which unifies the fixed order Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution of fragmentation functions at large x with soft gluon logarithmic resummation at small x is proposed. At lowest order, this approach, implemented with the double logarithmic approximation, reproduces exactly the modified leading logarithm approximation but is more complete due to the degrees of freedom given to the quark sector and the inclusion of the fixed order terms. We find that data from the largest x values to the peak region can be better fitted than with other approaches.},

doi = {10.1103/PhysRevLett.95.232002},

journal = {Physical Review Letters},

number = 23,

volume = 95,

place = {United States},

year = {Fri Dec 02 00:00:00 EST 2005},

month = {Fri Dec 02 00:00:00 EST 2005}

}

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