# Quark decay functions as measured in electron positron annihilation and semi-inclusive process in electron proton collisions

## Abstract

The modern theory describing the strong interaction, which holds the quarks together in the hadrons, is quantum chromodynamics (QCD), in which the interaction is mediated by the exchange of spin 1 particles called gluons. Today good qualitative agreement between the theory and experimental results has been found in the investigation of the interactions in which there is a large momentum transfer. This situation has prompted us to look for other detailed tests of the theory. We study the order {alpha}{sub s} measurement of the MS parton decay functions, which play an important role in the application of high order perturbative QCD calculations. We calculate the hard scattering cross section for e{sup +} + e{sup {minus}} {yields} parton + anything. Then, by carefully analyzing the electron positron annihilation data, we obtain the order {alpha}{sub s} MS quark decay function. We also study the gluon bremsstrahlung effects predicted by QCD in a semi-inclusive process at the future HERA electron proton collider, p + e{sup {minus}} {yields} h + e{sup {minus}} + X. In analogy to studies of Drell-Yan process we study the transverse momentum distribution and angular distribution of the final state hadrons, which are sensitive to the gluon bremsstrahlung effects. Thenmore »

- Authors:

- Publication Date:

- Research Org.:
- Oregon Univ., Eugene, OR (USA)

- OSTI Identifier:
- 7002052

- Resource Type:
- Miscellaneous

- Resource Relation:
- Other Information: Thesis (Ph. D.)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ELECTRON-POSITRON COLLISIONS; HADRONIC PARTICLE DECAY; QUARKS; CALCULATION METHODS; CROSS SECTIONS; DATA ANALYSIS; DECAY; ELECTRON-PROTON INTERACTIONS; MEASURING INSTRUMENTS; MEASURING METHODS; PARITY; QUANTUM CHROMODYNAMICS; STRONG INTERACTIONS; BASIC INTERACTIONS; COLLISIONS; ELECTRON COLLISIONS; ELECTRON-NUCLEON INTERACTIONS; ELEMENTARY PARTICLES; FERMIONS; FIELD THEORIES; INTERACTIONS; LEPTON-BARYON INTERACTIONS; LEPTON-HADRON INTERACTIONS; LEPTON-NUCLEON INTERACTIONS; PARTICLE DECAY; PARTICLE INTERACTIONS; PARTICLE PROPERTIES; POSITRON COLLISIONS; POSTULATED PARTICLES; QUANTUM FIELD THEORY; 645204* - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions & Properties; 657000 - Theoretical & Mathematical Physics; 645102 - High Energy Physics- Particle Interactions & Properties-Experimental- Weak Interactions & Properties

### Citation Formats

```
Meng, R.
```*Quark decay functions as measured in electron positron annihilation and semi-inclusive process in electron proton collisions*. United States: N. p., 1988.
Web.

```
Meng, R.
```*Quark decay functions as measured in electron positron annihilation and semi-inclusive process in electron proton collisions*. United States.

```
Meng, R. Fri .
"Quark decay functions as measured in electron positron annihilation and semi-inclusive process in electron proton collisions". United States.
```

```
@article{osti_7002052,
```

title = {Quark decay functions as measured in electron positron annihilation and semi-inclusive process in electron proton collisions},

author = {Meng, R},

abstractNote = {The modern theory describing the strong interaction, which holds the quarks together in the hadrons, is quantum chromodynamics (QCD), in which the interaction is mediated by the exchange of spin 1 particles called gluons. Today good qualitative agreement between the theory and experimental results has been found in the investigation of the interactions in which there is a large momentum transfer. This situation has prompted us to look for other detailed tests of the theory. We study the order {alpha}{sub s} measurement of the MS parton decay functions, which play an important role in the application of high order perturbative QCD calculations. We calculate the hard scattering cross section for e{sup +} + e{sup {minus}} {yields} parton + anything. Then, by carefully analyzing the electron positron annihilation data, we obtain the order {alpha}{sub s} MS quark decay function. We also study the gluon bremsstrahlung effects predicted by QCD in a semi-inclusive process at the future HERA electron proton collider, p + e{sup {minus}} {yields} h + e{sup {minus}} + X. In analogy to studies of Drell-Yan process we study the transverse momentum distribution and angular distribution of the final state hadrons, which are sensitive to the gluon bremsstrahlung effects. Then we investigate the general structure of the hadronic tensor, which appears in the formula for the cross section, including both the parity conserving and parity violating terms. Using the soft gluon resummation technique, the singular and the nonsingular structure functions are all calculated for the process p + e{sup {minus}} {yields} {gamma} {yields} h + e{sup {minus}} + X.},

doi = {},

journal = {},

number = ,

volume = ,

place = {United States},

year = {1988},

month = {1}

}