Measurement of the Z boson cross-section in - Harvard University ...
Measurement of the Z boson cross-section in - Harvard University ...
Measurement of the Z boson cross-section in - Harvard University ...
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Contents<br />
Title Page . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . i<br />
Abstract . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . iii<br />
Table <strong>of</strong> Contents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . iv<br />
List <strong>of</strong> Figures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . viii<br />
List <strong>of</strong> Tables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xi<br />
Acknowledgments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xiii<br />
1 Introduction and Theoretical Overview 1<br />
1.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1<br />
1.2 The Standard Model . . . . . . . . . . . . . . . . . . . . . . . . . . . 4<br />
1.2.1 The Higgs mechanism . . . . . . . . . . . . . . . . . . . . . . 6<br />
1.3 Proton-proton collisions and Z <strong>boson</strong> production at <strong>the</strong> LHC . . . . . 8<br />
1.3.1 Internal structure <strong>of</strong> a proton and parton distributions functions 8<br />
1.3.2 Renormalization <strong>of</strong> <strong>the</strong> strong coupl<strong>in</strong>g . . . . . . . . . . . . . 11<br />
1.3.3 QCD hard scatter<strong>in</strong>g and factorization . . . . . . . . . . . . . 12<br />
1.3.4 Hadronization . . . . . . . . . . . . . . . . . . . . . . . . . . . 15<br />
1.4 Z <strong>boson</strong> production at <strong>the</strong> LHC . . . . . . . . . . . . . . . . . . . . . 16<br />
1.5 Current state <strong>of</strong> <strong>the</strong>oretical calculation <strong>of</strong> <strong>the</strong> Z <strong>cross</strong>-<strong>section</strong> . . . . . 19<br />
1.5.1 Sources <strong>of</strong> <strong>the</strong>oretical errors . . . . . . . . . . . . . . . . . . . 22<br />
1.5.2 Current status <strong>of</strong> PDFs . . . . . . . . . . . . . . . . . . . . . . 26<br />
1.5.3 PDF measurements <strong>in</strong> ATLAS . . . . . . . . . . . . . . . . . . 28<br />
1.5.4 Overall <strong>the</strong>oretical error <strong>in</strong> Z <strong>cross</strong>-<strong>section</strong> and acceptance . . 31<br />
1.5.5 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33<br />
2 The Accelerator and <strong>the</strong> Experiment 34<br />
2.1 The Large Hadron Collider . . . . . . . . . . . . . . . . . . . . . . . . 34<br />
2.2 A Toroidal LHC Apparatus (ATLAS) . . . . . . . . . . . . . . . . . . 36<br />
2.2.1 The magnet system . . . . . . . . . . . . . . . . . . . . . . . . 38<br />
2.2.2 The Inner Detector (ID) . . . . . . . . . . . . . . . . . . . . . 41<br />
The Pixel Detector . . . . . . . . . . . . . . . . . . . . . . . . 41<br />
The Semiconductor Detector (SCT) . . . . . . . . . . . . . . . 43<br />
The Transition Radiation Tracker (TRT) . . . . . . . . . . . . 43<br />
iv