Analysis of Unintegrated Parton Distributions in Quantum Chromodynamics
Open Access
- Author:
- Elias, Edgar
- Area of Honors:
- Physics
- Degree:
- Bachelor of Science
- Document Type:
- Thesis
- Thesis Supervisors:
- Anna M. Stasto, Thesis Supervisor
Prof. Richard Wallace Robinett, Thesis Honors Advisor - Keywords:
- QCD
Quantum Chromodynamics
parton distribution function
quantum field theory
parton
unintegrated parton - Abstract:
- The Large Hadron Collider at CERN is currently the most powerful particle collider. It collides protons at the center of mass energy of 13 TeV. At such high energies parton densities in both protons are extremely high. This leads to the enhanced probability for multi-parton interactions. These are events in which more than one partonic interaction occurs per one nucleon collision. The multi-parton interactions, which are characterized by a hard scale, can be described in QCD by means of double parton distributions. In this thesis we propose a construction of the double unintegrated parton distribution functions which, in addition to the longitudinal momentum fractions, include the dependence on the transverse momenta of partons. To this aim, we extend the formalism that was used previously for the single unintegrated parton distribution functions. Starting from the homogeneous part of the equation for the integrated double parton distribution function, we construct the double unintegrated parton distribution functions which are the convolutions of the integrated parton densities and the Sudakov form factor. We present first numerical studies of these distributions. In particular, double unintegrated parton density functions are studied as a function of the transverse momenta for fixed scales and fixed values of the longitudinal momentum fractions. We also discuss the numerical methods used for the calculation of these double unintegrated parton distribution functions.