# Dependence in nuclear Drell-Yan processes including QCD corrections

## Abstract

In treating leading-order QCD corrections to deep-inelastic scattering and the Drell-Yan process, one assumes that collinear singularities arising from the massless nature of the non-Abelian gauge theory be absorbed into parton distributions through redefinition. It has also been suggested that terms which are not perfectly finite near q/sub perpendicular/ = 0 be suitably exponentiated in the impact-parameter space in order to yield proper predictions on q/sub perpendicular/-dependent effects. These steps may lead to negative partial Drell-Yan cross sections for certain QCD diagrams of order ..cap alpha../sub s/. We modify the formalism developed by Altarelli et al. to ensure that all partial cross sections are non-negative. We use the revised formalism to make predictions on A-dependent effects in the nuclear Drell-Yan process. Our numerical results indicate strongly the potential usefulness of measuring lepton pair production cross sections in a region with a large M/sub ..mu..//sub <+/..mu../sup =/ and a large q/sub perpendicular/ so that perturbative QCD theory is expected to play a critical role.

- Authors:

- Publication Date:

- Research Org.:
- Department of Physics, National Taiwan University, Taipei, Taiwan 10764, Republic of China

- OSTI Identifier:
- 6854000

- Resource Type:
- Journal Article

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

- Additional Journal Information:
- Journal Volume: 38:3

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; HADRON-HADRON INTERACTIONS; DEEP INELASTIC SCATTERING; DRELL MODEL; LEPTONS; PAIR PRODUCTION; CROSS SECTIONS; DISTRIBUTION FUNCTIONS; FEYNMAN DIAGRAM; GAUGE INVARIANCE; GLUONS; IMPACT PARAMETER; MOMENTUM TRANSFER; NUMERICAL ANALYSIS; PARTONS; PERTURBATION THEORY; QUANTUM CHROMODYNAMICS; QUARKS; DIAGRAMS; ELEMENTARY PARTICLES; FERMIONS; FIELD THEORIES; FUNCTIONS; INELASTIC SCATTERING; INTERACTIONS; INVARIANCE PRINCIPLES; LEPTON-BARYON INTERACTIONS; LEPTON-HADRON INTERACTIONS; LEPTON-NUCLEON INTERACTIONS; MATHEMATICS; PARTICLE INTERACTIONS; POSTULATED PARTICLES; QUANTUM FIELD THEORY; SCATTERING; 645204* - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions & Properties; 645400 - High Energy Physics- Field Theory

### Citation Formats

```
Hwang, W P, and Kisslinger, L S.
```*Dependence in nuclear Drell-Yan processes including QCD corrections*. United States: N. p., 1988.
Web. doi:10.1103/PhysRevD.38.788.

```
Hwang, W P, & Kisslinger, L S.
```*Dependence in nuclear Drell-Yan processes including QCD corrections*. United States. https://doi.org/10.1103/PhysRevD.38.788

```
Hwang, W P, and Kisslinger, L S. 1988.
"Dependence in nuclear Drell-Yan processes including QCD corrections". United States. https://doi.org/10.1103/PhysRevD.38.788.
```

```
@article{osti_6854000,
```

title = {Dependence in nuclear Drell-Yan processes including QCD corrections},

author = {Hwang, W P and Kisslinger, L S},

abstractNote = {In treating leading-order QCD corrections to deep-inelastic scattering and the Drell-Yan process, one assumes that collinear singularities arising from the massless nature of the non-Abelian gauge theory be absorbed into parton distributions through redefinition. It has also been suggested that terms which are not perfectly finite near q/sub perpendicular/ = 0 be suitably exponentiated in the impact-parameter space in order to yield proper predictions on q/sub perpendicular/-dependent effects. These steps may lead to negative partial Drell-Yan cross sections for certain QCD diagrams of order ..cap alpha../sub s/. We modify the formalism developed by Altarelli et al. to ensure that all partial cross sections are non-negative. We use the revised formalism to make predictions on A-dependent effects in the nuclear Drell-Yan process. Our numerical results indicate strongly the potential usefulness of measuring lepton pair production cross sections in a region with a large M/sub ..mu..//sub <+/..mu../sup =/ and a large q/sub perpendicular/ so that perturbative QCD theory is expected to play a critical role.},

doi = {10.1103/PhysRevD.38.788},

url = {https://www.osti.gov/biblio/6854000},
journal = {Phys. Rev. D; (United States)},

number = ,

volume = 38:3,

place = {United States},

year = {1988},

month = {8}

}