\contentsline {chapter}{\numberline {1}Introduction}{1}{chapter.1}
\contentsline {section}{\numberline {1.1}Particles of The Standard Model}{2}{section.1.1}
\contentsline {section}{\numberline {1.2}The Standard Model Lagrangian and its Symmetries}{4}{section.1.2}
\contentsline {section}{\numberline {1.3}Perturbative Field Theory and Renormalization}{7}{section.1.3}
\contentsline {section}{\numberline {1.4}Confinement and Asymptotic Freedom in QCD}{8}{section.1.4}
\contentsline {section}{\numberline {1.5}Parton Density Functions}{9}{section.1.5}
\contentsline {section}{\numberline {1.6}Deep Inelastic Scattering}{10}{section.1.6}
\contentsline {section}{\numberline {1.7}Jet Production in DIS}{12}{section.1.7}
\contentsline {section}{\numberline {1.8}A Brief Overview Of The HERA Collider and The ZEUS Detector}{14}{section.1.8}
\contentsline {section}{\numberline {1.9}Methods Used In This Analysis}{20}{section.1.9}
\contentsline {section}{\numberline {1.10}Overview Of Results And Implications Of This Analysis}{21}{section.1.10}
\contentsline {chapter}{\numberline {2}Theoretical Predictions}{23}{chapter.2}
\contentsline {section}{\numberline {2.1}Kinematics of $ep$ Scattering}{23}{section.2.1}
\contentsline {section}{\numberline {2.2}Cross Sections}{25}{section.2.2}
\contentsline {section}{\numberline {2.3}The MEPJET Program}{26}{section.2.3}
\contentsline {section}{\numberline {2.4}Phase Space Slicing Method}{27}{section.2.4}
\contentsline {section}{\numberline {2.5}$\overline {\unhbox \voidb@x \hbox {MS}}$ Renormalization Scheme }{27}{section.2.5}
\contentsline {section}{\numberline {2.6}Factorization Scale and Evolution of Parton Density Functions}{28}{section.2.6}
\contentsline {section}{\numberline {2.7}Scale Dependence and Uncertainty}{28}{section.2.7}
\contentsline {section}{\numberline {2.8}PDFs and PDF Uncertainty}{29}{section.2.8}
\contentsline {section}{\numberline {2.9}Systematic Uncertainty Estimate for the Calculations}{29}{section.2.9}
\contentsline {section}{\numberline {2.10}Correction of the Calculations to the Hadron Level}{30}{section.2.10}
\contentsline {chapter}{\numberline {3}Experimental Setup}{31}{chapter.3}
\contentsline {section}{\numberline {3.1}The DESY Laboratory}{31}{section.3.1}
\contentsline {section}{\numberline {3.2}The HERA Accelerator}{31}{section.3.2}
\contentsline {subsection}{\numberline {3.2.1}Proton Injection and Acceleration}{32}{subsection.3.2.1}
\contentsline {subsection}{\numberline {3.2.2}Lepton Injection and Acceleration}{33}{subsection.3.2.2}
\contentsline {subsection}{\numberline {3.2.3}Beam Circulation and Collisions}{34}{subsection.3.2.3}
\contentsline {subsection}{\numberline {3.2.4}HERA Luminosity}{35}{subsection.3.2.4}
\contentsline {subsection}{\numberline {3.2.5}Polarized Collisions}{35}{subsection.3.2.5}
\contentsline {section}{\numberline {3.3}The ZEUS Detector}{36}{section.3.3}
\contentsline {subsection}{\numberline {3.3.1}ZEUS Tracking Detectors}{37}{subsection.3.3.1}
\contentsline {subsection}{\numberline {3.3.2}The ZEUS Calorimeter}{39}{subsection.3.3.2}
\contentsline {subsection}{\numberline {3.3.3}Luminosity Monitor and Polarimeters}{41}{subsection.3.3.3}
\contentsline {subsection}{\numberline {3.3.4}Veto Wall and C5 Counter}{43}{subsection.3.3.4}
\contentsline {subsection}{\numberline {3.3.5}Trigger and Data Acquisition}{44}{subsection.3.3.5}
\contentsline {chapter}{\numberline {4}Event Reconstruction}{47}{chapter.4}
\contentsline {section}{\numberline {4.1}Track and Vertex Reconstruction}{47}{section.4.1}
\contentsline {section}{\numberline {4.2}Calorimeter Reconstruction}{48}{section.4.2}
\contentsline {section}{\numberline {4.3}Electron Reconstruction}{49}{section.4.3}
\contentsline {section}{\numberline {4.4}Kinematic Reconstruction}{51}{section.4.4}
\contentsline {section}{\numberline {4.5}Jet Reconstruction}{51}{section.4.5}
\contentsline {chapter}{\numberline {5}Event Simulation}{55}{chapter.5}
\contentsline {section}{\numberline {5.1}PDF and Hard Scatter}{56}{section.5.1}
\contentsline {section}{\numberline {5.2}Parton Cascade}{56}{section.5.2}
\contentsline {section}{\numberline {5.3}Hadronization}{58}{section.5.3}
\contentsline {section}{\numberline {5.4}Description of Initial- and Final-State QED Radiation}{59}{section.5.4}
\contentsline {section}{\numberline {5.5}Detector and Trigger Simulation}{59}{section.5.5}
\contentsline {chapter}{\numberline {6}Event Selection}{61}{chapter.6}
\contentsline {section}{\numberline {6.1}Description of Data Sample}{61}{section.6.1}
\contentsline {section}{\numberline {6.2}Online Event Selection}{61}{section.6.2}
\contentsline {subsection}{\numberline {6.2.1}First Level Trigger Selection}{62}{subsection.6.2.1}
\contentsline {subsection}{\numberline {6.2.2}Second Level Trigger Selection}{63}{subsection.6.2.2}
\contentsline {subsection}{\numberline {6.2.3}Third Level Trigger Selection}{65}{subsection.6.2.3}
\contentsline {section}{\numberline {6.3}Offline Event Selection}{67}{section.6.3}
\contentsline {subsection}{\numberline {6.3.1}Preselection}{67}{subsection.6.3.1}
\contentsline {subsection}{\numberline {6.3.2}Signal Selection and Background Rejection}{68}{subsection.6.3.2}
\contentsline {subsection}{\numberline {6.3.3}Kinematic and Jet Selection}{72}{subsection.6.3.3}
\contentsline {section}{\numberline {6.4}Reconstruction and Selection of Simulated Events}{73}{section.6.4}
\contentsline {chapter}{\numberline {7}Analysis Method}{75}{chapter.7}
\contentsline {section}{\numberline {7.1}Comparison of {{\rm MC}} and Data}{75}{section.7.1}
\contentsline {subsection}{\numberline {7.1.1}Reweighting Procedure}{75}{subsection.7.1.1}
\contentsline {subsection}{\numberline {7.1.2}Detector-level Comparisons}{76}{subsection.7.1.2}
\contentsline {section}{\numberline {7.2}Correction Procedures Applied to Data Events}{76}{section.7.2}
\contentsline {subsection}{\numberline {7.2.1}Inactive Material Corrections}{76}{subsection.7.2.1}
\contentsline {subsection}{\numberline {7.2.2}Jet Quantity Corrections}{84}{subsection.7.2.2}
\contentsline {subsection}{\numberline {7.2.3}Transverse Energy Corrections}{86}{subsection.7.2.3}
\contentsline {section}{\numberline {7.3}Correction Procedures Applied to Theoretical Calculations}{89}{section.7.3}
\contentsline {subsection}{\numberline {7.3.1}QED Corrections}{89}{subsection.7.3.1}
\contentsline {subsection}{\numberline {7.3.2}Hadronization Corrections}{89}{subsection.7.3.2}
\contentsline {section}{\numberline {7.4}Estimation of Experimental Systematic Uncertainties}{90}{section.7.4}
\contentsline {section}{\numberline {7.5}Estimation of Theoretical Systematic Uncertainties}{90}{section.7.5}
\contentsline {chapter}{\numberline {8}Results}{93}{chapter.8}
\contentsline {section}{\numberline {8.1}Inclusive Jet Polarized Differential Cross Sections}{94}{section.8.1}
\contentsline {section}{\numberline {8.2}Inclusive Jet Unpolarized Differential Cross Sections}{95}{section.8.2}
\contentsline {section}{\numberline {8.3}Dijet Unpolarized Differential Cross Sections}{101}{section.8.3}
\contentsline {section}{\numberline {8.4}Trijet Unpolarized Differential Cross Sections}{104}{section.8.4}
\contentsline {chapter}{\numberline {9}Conclusions}{113}{chapter.9}
\contentsline {chapter}{\numberline {A}Monte Carlo And Data Comparisons}{117}{appendix.A}
\vspace {0.5cm}
\contentsline {chapter}{\numberline {B}Reweighting Factors}{121}{appendix.B}
\contentsline {chapter}{\numberline {C}Purities, Efficiencies, Acceptances}{125}{appendix.C}
\contentsline {chapter}{\numberline {D}Systematic Uncertainties}{129}{appendix.D}
\contentsline {chapter}{\numberline {E}Technical Trigger Specifications}{135}{appendix.E}
\contentsline {section}{\numberline {E.1}First Level Trigger Selection}{135}{section.E.1}
\contentsline {section}{\numberline {E.2}Second Level Trigger Selection}{137}{section.E.2}
\contentsline {section}{\numberline {E.3}Third Level Trigger Selection}{139}{section.E.3}
\contentsline {section}{\numberline {E.4}DST Bits}{141}{section.E.4}
\contentsline {section}{\numberline {E.5}Selection Flags}{141}{section.E.5}
\contentsline {chapter}{\numberline {F}Correction Functions}{143}{appendix.F}
\contentsline {chapter}{\numberline {G}Data Tables}{145}{appendix.G}
\contentsline {chapter}{\numberline {H}Additional Figures}{159}{appendix.H}
