# Tests of quantum chromodynamics in two-photon collisions and high-p/sub T/ photon production

## Abstract

We use the diagrammatic approach to scale breaking to rederive the results of the renormalization-group approach to two-photon, ..gamma..*..gamma.., collisions, where one of the photons is highly virtual and the other nearly real. In an axial gauge only ladder diagrams contribute to leading-logarithmic accuracy. When interpreted in terms of the quark distribution of the real photon we obtain the result G/sub q//..gamma..(q/sup 2/,x) = (..cap alpha../..cap alpha../sub s/(q/sup 2/))f/sub q/(x) + O (1), where f/sub q/(x) is an exactly calculable scaling function. By virtue of the fact that only ladder diagrams contribute in leading-logarithmic accuracy for this and other short-distance photon-target probes, we find that this form for G/sub q//..gamma.. can be employed (to leading-logarithmic accuracy) in any short-distance application involving a photon target. We give a summary of these additional applications with emphasis on high-transverse-momentum phenomena. We present also estimates of the vector-dominance background to the pointlike component of the photon distribution function. In addition we present a convenient summary of leading-logarithmic quantum-chromodynamic corrections including dominant x ..-->.. 1 behaviors.

- Authors:

- Publication Date:

- Research Org.:
- University of California, San Diego, La Jolla, California 92093

- OSTI Identifier:
- 6091622

- Resource Type:
- Journal Article

- Journal Name:
- Phys. Rev., D; (United States)

- Additional Journal Information:
- Journal Volume: 20:1

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; PHOTON-PHOTON INTERACTIONS; SCALING LAWS; QUANTUM CHROMODYNAMICS; COUPLING CONSTANTS; DEEP INELASTIC SCATTERING; GLUON MODEL; LADDER APPROXIMATION; PARTICLE PRODUCTION; QUARKS; RENORMALIZATION; STRUCTURE FUNCTIONS; TRANSVERSE MOMENTUM; BASIC INTERACTIONS; ELECTROMAGNETIC INTERACTIONS; ELEMENTARY PARTICLES; FIELD THEORIES; FUNCTIONS; INELASTIC SCATTERING; INTERACTIONS; LEPTON-BARYON INTERACTIONS; LEPTON-HADRON INTERACTIONS; LEPTON-NUCLEON INTERACTIONS; LINEAR MOMENTUM; MATHEMATICAL MODELS; PARTICLE INTERACTIONS; PARTICLE MODELS; POSTULATED PARTICLES; QUANTUM FIELD THEORY; SCATTERING; 645202* - High Energy Physics- Particle Interactions & Properties-Theoretical- Electromagnetic Interactions & Properties; 645400 - High Energy Physics- Field Theory

### Citation Formats

```
Frazer, W.R., and Gunion, J.F.
```*Tests of quantum chromodynamics in two-photon collisions and high-p/sub T/ photon production*. United States: N. p., 1979.
Web. doi:10.1103/PhysRevD.20.147.

```
Frazer, W.R., & Gunion, J.F.
```*Tests of quantum chromodynamics in two-photon collisions and high-p/sub T/ photon production*. United States. doi:10.1103/PhysRevD.20.147.

```
Frazer, W.R., and Gunion, J.F. Sun .
"Tests of quantum chromodynamics in two-photon collisions and high-p/sub T/ photon production". United States. doi:10.1103/PhysRevD.20.147.
```

```
@article{osti_6091622,
```

title = {Tests of quantum chromodynamics in two-photon collisions and high-p/sub T/ photon production},

author = {Frazer, W.R. and Gunion, J.F.},

abstractNote = {We use the diagrammatic approach to scale breaking to rederive the results of the renormalization-group approach to two-photon, ..gamma..*..gamma.., collisions, where one of the photons is highly virtual and the other nearly real. In an axial gauge only ladder diagrams contribute to leading-logarithmic accuracy. When interpreted in terms of the quark distribution of the real photon we obtain the result G/sub q//..gamma..(q/sup 2/,x) = (..cap alpha../..cap alpha../sub s/(q/sup 2/))f/sub q/(x) + O (1), where f/sub q/(x) is an exactly calculable scaling function. By virtue of the fact that only ladder diagrams contribute in leading-logarithmic accuracy for this and other short-distance photon-target probes, we find that this form for G/sub q//..gamma.. can be employed (to leading-logarithmic accuracy) in any short-distance application involving a photon target. We give a summary of these additional applications with emphasis on high-transverse-momentum phenomena. We present also estimates of the vector-dominance background to the pointlike component of the photon distribution function. In addition we present a convenient summary of leading-logarithmic quantum-chromodynamic corrections including dominant x ..-->.. 1 behaviors.},

doi = {10.1103/PhysRevD.20.147},

journal = {Phys. Rev., D; (United States)},

number = ,

volume = 20:1,

place = {United States},

year = {1979},

month = {7}

}