Authors

Yikun Wang

Type

Text

Type

Thesis

Advisor

Meade, Patrick | Sterman, George | Hobbs, John | Meade, Patrick.

Date

2015-12-01

Keywords

Physics

Department

Department of Physics.

Language

en_US

Source

This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree.

Identifier

http://hdl.handle.net/11401/76739

Publisher

The Graduate School, Stony Brook University: Stony Brook, NY.

Format

application/pdf

Abstract

The Drell-Yan process is the production of massive lepton pairs in hadronic collisions. In this thesis, we investigate the transverse momentum distribution of the intermediate vector bosons for the Drell-Yan process. This distribution can be predicted by perturbative QCD. However, one difficulty of the calculation is large logarithms that occur in the calculation of the differential cross section which come from the soft and collinear structure of the phase space. The large logarithmic terms in the differential cross section spoil the validity of perturbative expansion in the region of small transverse momentum. Transverse momentum resummation can give convergent results and reliable perturbative predictions by summing over the logarithmic contributions. In this thesis we review and calculate the resummed transverse momentum distribution for the Drell-Yan process up to leading and next leading logarithmic level. Another approach to predicting the transverse momentum distribution is the parton shower algorithm in Monte Carlo event generators. Parton shower algorithms can simulate the soft and collinear emissions from incoming and outgoing partons of the process. The logarithmic accuracy of the parton shower algorithm is analyzed in this thesis. The numerical comparison between the parton shower prediction and the resummation logarithmic accuracy is made accordingly. | 49 pages

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