Regularized unfolding of jet cross sections in deep-inelastic ep scattering at HERA and determination of the strong coupling constant:
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Format: | Abschlussarbeit Buch |
Sprache: | English |
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Hamburg
DESY
2013
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Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | Zusammenfassung in dt. und engl. Sprache |
Beschreibung: | V, 265 S. Ill., graph. Darst. |
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245 | 1 | 0 | |a Regularized unfolding of jet cross sections in deep-inelastic ep scattering at HERA and determination of the strong coupling constant |c vorgelegt von Daniel Andreas Britzger |
264 | 1 | |a Hamburg |b DESY |c 2013 | |
300 | |a V, 265 S. |b Ill., graph. Darst. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
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500 | |a Zusammenfassung in dt. und engl. Sprache | ||
502 | |a Hamburg, Univ., Diss., 2013 | ||
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adam_text | CONTENTS
1 INTRODUCTION 1
2 THEORY 3
2.1 BASIC THEORETICAL CONCEPTS 3
2.1.1 THE STANDARD MODEL OF PARTICLE PHYSICS 3
2.1.2 QUANTUM CHROMODYNAMICS 4
2.1.3 PERTURBATIVE QCD 6
2.1.3.1 PERTURBATIVE EXPANSION OF AN OBSERVABLE 6
2.1.3.2 ULTRA-VIOLET DIVERGENCES 6
2.1.3.3 SOFT AND COLLINEAR DIVERGENCES 6
2.1.4 RENORMALIZATION - THE RUNNING OF THE STRONG COUPLING 7
2.1.4.1 THE RENORMALIZATION GROUP EQUATION 7
2.1.4.2 THE RUNNING OF THE STRONG COUPLING 8
2.1.4.3 THE SCALE DEPENDENCE OF THE PERTURBATIVE SERIES 10
2.1.4.4 THE RENORMALIZATION SCALE DEPENDENCE 11
2.1.4.5 THE CHOICE OF THE RENORMALIZATION SCALE 13
2.1.5 FACTORIZATION AND PARTON DENSITY FUNCTIONS 15
2.1.5.1 THE FACTORIZATION THEOREM 16
2.1.5.2 THE QCD EVOLUTION EQUATIONS 17
2.1.5.3 PARTON DENSITY FUNCTIONS OF THE PROTON 18
2.1.5.4 THE CHOICE OF THE FACTORIZATION SCALE 19
2.1.5.5 THE SCALE DEPENDENCE OF THE INCLUSIVE JET CROSS SECTION . . 20
2.2 THE WORLD AVERAGE VALUE OF THE STRONG COUPLING CONSTANT
A
S
{MZ)
20
2.3 HADRONIZATION AND PARTON SHOWER 22
2.3.1 MULTI-PAR
TON PRODUCTION 22
2.3.1.1 PARTON SHOWERS 22
2.3.1.2 COLOR DIPOLE MODEL 23
2.3.2 HADRONIZATION 23
2.3.2.1 THE LUND STRING MODEL 23
2.3.2.2 THE CLUSTER FRAGMENTATION MODEL 24
2.4 JET ALGORITHMS 24
2.5 DEEP-INELASTIC LEPTON-PROTON SCATTERING 26
2.5.1 THE KINEMATICS OF DIS 26
2.5.2 THE INCLUSIVE DIS CROSS SECTION 27
2.5.3 THE NEUTRAL CURRENT DIS CROSS SECTION CALCULATIONS 28
2.5.3.1 THE QUARK PARTON MODEL 29
2.6 THE BREIT FRAME OF REFERENCE 30
2.7 CALCULATION OF NEXT-TO-LEADING ORDER JET CROSS SECTIONS 30
I
HTTP://D-NB.INFO/1044697970
2.8
A
S
(MZ)
DETERMINATIONS FROM JET-MEASUREMENTS IN DIS 33
3 EXPERIMENTAL SETUP 37
3.1 THE HERA COLLIDER 37
3.2 . THE HI DETECTOR 39
3.2.1 SUBSYSTEMS OF THE HI DETECTOR 40
3.2.2 THE HI COORDINATE SYSTEM 40
3.2.3 THE TRACKING DETECTORS 40
3.2.4 THE CALORIMETRY SYSTEM 41
3.2.4.1 THE LIQUID ARGON CALORIMETER 41
3.2.4.2 ELECTROMAGNETIC FRACTION IN SHOWERS 42
3.2.4.3 THESPACAL 44
3.3 THE LUMINOSITY MEASUREMENT 44
3.4 THE TRIGGER SYSTEM 45
3.5 EVENT GENERATORS AND DETECTOR SIMULATION 46
3.5.1 MONTE CARLO EVENT GENERATORS 46
3.5.1.1 RAPGAP 46
3.5.1.2 DJANGOH 46
3.5.1.3 LEPTO 46
3.5.1.4 SHERPA 47
3.5.1.5 PYTHIA 47
3.5.1.6 COMPTON 47
3.5.1.7 GRAPE 47
3.5.2 SIMULATION OF THE EXPERIMENTAL SETUP 47
4 EVENT RECONSTRUCTION AND DATA SELECTION 49
4.1 EVENT RECONSTRUCTION 49
4.1.1 THE TRIGGER 49
4.1.2 TRACK AND VERTEX FINDING 50
4.1.2.1 ALIGNMENT 50
4.1.2.2 TRACK RECONSTRUCTION 50
4.1.2.3 VERTEX POSITION 50
4.1.3 ELECTRON IDENTIFICATION 51
4.1.4 RECONSTRUCTION OF THE HADRONIC FINAL STATE 52
4.1.5 DETERMINATION OF THE DIS KINEMATIC VARIABLES 53
4.1.6 CONSTRUCTION OF JET FOUR-VECTORS 54
4.1.7 LONGITUDINAL ENERGY LOSS 54
4.2 BACKGROUND REJECTION 54
4.2.1 NON-EP BACKGROUND REJECTION 55
4.2.2 BACKGROUND REJECTION FROM OTHER PROCESSES 55
4.3 REWEIGHTING OF THE MC MODELS 55
4.4 SELECTION AND PHASE SPACE DEFINITIONS 56
4.4.1 RUN SELECTION 56
4.4.2 PHASE SPACE CONSIDERATIONS 56
4.4.3 NEUTRAL CURRENT PHASE SPACE 57
4.4.4 INCLUSIVE JET PHASE SPACE 57
4.4.5 JET SHAPE DISTRIBUTIONS 57
4.4.6 DIJET PHASE SPACE 62
4.4.6.1 THE DIJET EXTENDED PHASE SPACE 62
II
4.4.6.2 THE DIJET MEASUREMENT PHASE SPACE 63
4.4.7 THJET PHASE SPACE 63
4.4.7.1 THE TRIJET EXTENDED PHASE SPACE 63
4.4.7.2 THE TRIJET MEASUREMENT PHASE SPACE 65
5 REGULARIZED UNFOLDING 67
5.1 DETECTOR EFFECTS 67
5.2 METHOD OF REGULARIZED UNFOLDING 68
5.2.1 THE UNFOLDING PROBLEM 68
5.2.2 TUNFOLD 69
5.3 DETERMINATION OF THE MIGRATION MATRIX 69
5.4 ERROR PROPAGATION 70
5.4.1 STATISTICAL UNCERTAINTY 70
5.4.2 SYSTEMATIC UNCERTAINTIES 71
5.4.3 MODEL UNCERTAINTY 72
5.4.4 UNCERTAINTIES FROM LIMITED MONTE CARLO STATISTICS 72
5.4.5 BACKGROUND UNCERTAINTIES 72
5.5 INCLUSION OF BIN-WISE CORRECTION FACTORS IN THE MIGRATION MATRIX 73
6 DEFINITION OF THE MIGRATION MATRIX 75
6.1 CONSIDERATIONS CONCERNING THE DEFINITION OF THE MIGRATION MATRIX 75
6.2 STRUCTURE OF THE MIGRATION MATRIX 77
6.3 STATISTICAL CORRELATIONS ON DETECTOR LEVEL 79
6.4 MIGRATION SCHEME FOR THE NEUTRAL CURRENT DIS MEASUREMENT 80
6.5 DETECTOR-LEVEL-ONLY ENTRIES 81
6.5.1 APPEARANCE OF DETECTOR-LEVEL-ONLY CONTRIBUTIONS 81
6.5.2 SIMPLE INCLUSION OF DETECTOR-LEVEL-ONLY ENTRIES 82
6.5.3 IMPROVED INCLUSION OF DETECTOR-LEVEL-ONLY ENTRIES 83
6.6 UNFOLDING OF THE INCLUSIVE JET MEASUREMENT 84
6.6.1 JET MULTIPLICITIES AND JET-MATCHING 84
6.6.2 MIGRATION SCHEME FOR THE INCLUSIVE JET MEASUREMENT 86
6.7 MIGRATION SCHEME FOR THE DIJET MEASUREMENT 88
6.8 MIGRATION SCHEME FOR THE TRIJET MEASUREMENT 92
6.9 RADIATIVE CORRECTIONS 94
6.10 APPLYING THE UNFOLDING 95
6.10.1 HIGH-Y BACKGROUND SUBTRACTION 95
6.10.2 UNFOLDING PROCEDURE 95
7 CROSS SECTION RESULTS 97
7.1 DEFINITION OF THE CROSS SECTIONS 97
7.2 CALCULATION OF THEORETICAL PREDICTIONS 98
7.2.1 NLO CALCULATIONS 98
7.2.2 THE THEORETICAL CROSS SECTION 99
7.2.3 HADRONIZATION CORRECTION 99
7.2.4 ELECTROWEAK CORRECTION 100
7.2.5 UNCERTAINTIES OF THE THEORY PREDICTION 100
7.2.5.1 UNCERTAINTY OF THE HADRONIZATION CORRECTIONS 100
7.2.5.2 UNCERTAINTY OF THE ELECTROWEAK THEORY 102
7.2.5.3 UNCERTAINTY OF THE PQCD CALCULATION 102
III
7.2.5.4 UNCERTAINTY OF THE PDFS 102
7.3 JET CROSS SECTION RESULTS 103
7.3.1 DOUBLE-DIFFERENTIAL CROSS SECTIONS FOR JET-PRODUCTION IN DIS 103
7.3.2 DATA-THEORY COMPARISON 103
7.3.3 EXPERIMENTAL UNCERTAINTIES 107
7.3.3.1 STATISTICAL UNCERTAINTIES AND CORRELATIONS 107
7.3.3.2 SYSTEMATIC UNCERTAINTIES 109
7.4 NORMALIZED JET CROSS SECTIONS 114
7.4.1 DEFINITION OF NORMALIZED JET CROSS SECTIONS 114
7.4.2 ERROR PROPAGATION FOR NORMALIZED CROSS SECTIONS 114
7.4.2.1 STATISTICAL ERROR PROPAGATION 114
7.4.2.2 EXAMPLE OF ERROR PROPAGATION 115
7.4.2.3 ERROR PROPAGATION OF SYSTEMATIC UNCERTAINTIES 116
7.4.3 THE INCLUSIVE NEUTRAL CURRENT DIS CROSS SECTION 117
7.4.4 UNCERTAINTIES OF NORMALIZED JET CROSS SECTIONS 118
7.4.5 NORMALIZED JET CROSS SECTION RESULTS 118
7.5 JET CROSS SECTIONS DIFFERENTIAL IN 122
7.6 CROSS SECTION RATIO R3/2 128
8 COMPARISON OF REGULARIZED UNFOLDING TO A BIN-BY-BIN CORRECTION 131
8.1 THE METHOD OF BIN-BY-BIN CORRECTION 131
8.2 PURITY AND ACCEPTANCE 132
8.3 DISCUSSION OF THE BIN-BY-BIN METHOD 135
8.3.1 THE CENTRAL VALUE 135
8.3.2 THE STATISTICAL UNCERTAINTY 136
8.4 MONTE CARLO STUDY 138
8.5 COMPARISON OF THE CORRECTION METHODS 140
8.5.1 COMPARISON OF (DETECTOR) CORRECTION FACTORS 140
8.5.2 COMPARISON OF THE STATISTICAL AND MODEL UNCERTAINTIES 142
8.5.3 DATA SHIFT 142
8.5.4 THE TOTAL CROSS SECTION AND ITS UNCERTAINTY 144
9 STUDY OF THE UNFOLDING SCHEME 147
9.1 THE X
2
METHOD 147
9.2 STUDY OF THE BIN GRID DEFINITION 149
9.2.1 TECHNICAL CONCEPTS FOR A MULTIDIMENSIONAL UNFOLDING 149
9.2.2 STUDY OF THE INCLUSIVE JET UNFOLDING SCHEME 151
9.2.3 STUDY OF THE DIJET UNFOLDING SCHEME 156
9.2.4 STUDY OF THE TRIJET UNFOLDING SCHEME 160
9.2.5 COMPARISON OF CORRELATION MATRICES 161
9.3 REGULARIZATION CONDITION AND STRENGTH 163
9.3.1 STUDY OF DIFFERENT REGULARIZATION CONDITIONS 163
9.3.2 STUDY OF THE REGULARIZATION STRENGTH 166
9.4 UNFOLDING OF THE ^-MEASUREMENTS 171
9.4.1 UNFOLDING OF THE DIJET MEASUREMENT 172
9.4.2 UNFOLDING OF THE TRIJET MEASUREMENT 173
9.5 FURTHER STUDIES 173
9.6 INDIVIDUAL UNFOLDING OF THE NC DIS MEASUREMENT 175
IV
10 DETERMINATION OF THE STRONG COUPLING CONSTANT 177
10.1 INTRODUCTION 177
10.2 THE CENTRAL FIT 178
10.2.1 FIT STRATEGY 178
10.2.2 THE LEAST-SQUARE METHOD 179
10.2.3 TREATMENT OF SYSTEMATIC UNCERTAINTIES 181
10.2.4 FIT TO INDIVIDUAL DATA POINTS AND SUB-SETS OF DATA POINTS 184
10.2.5 FIT TO SINGLE MEASUREMENTS 184
10.2.6 SIMULTANEOUS A
S
-DETERMINATION FROM MULTIJET CROSS SECTIONS 188
10.2.7 EXPERIMENTAL UNCERTAINTIES ON A
S
189
10.2.8 THE DEPENDENCE OF A
S
ON THE MC GENERATORS 191
10.3 THEORETICAL UNCERTAINTIES OF A
S
191
10.3.1 ERROR PROPAGATION FOR THEORETICAL UNCERTAINTIES 191
10.3.1.1 LINEAR ERROR PROPAGATION 191
10.3.1.2 THE NON-LINEAR OFFSET METHOD 192
10.3.1.3 THE INFINITESIMAL OFFSET METHOD FOR NUMERICAL DERIVATIVES . 192
10.3.1.4 THEORETICAL UNCERTAINTIES AS ADDITIONAL DEGREES OF FREEDOM 193
10.3.2 UNCERTAINTY ON A
S
DUE TO HADRONIZATION CORRECTIONS 193
10.3.3 UNCERTAINTIES DUE TO MISSING HIGHER ORDERS 194
10.4 UNCERTAINTY OF A
S
DUE TO THE UNCERTAINTY OF THE PDFS 197
10.4.1 THE PDF DEPENDENCE OF THE CROSS SECTIONS 197
10.4.2 ERROR PROPAGATION FOR THE UNCERTAINTY ON A
S
DUE TO THE PDF .... 199
10.4.3 A
S
-FITS TO DIFFERENT PDF SETS 201
10.4.4 THE A
S
-DEPENDENCE OF THE PDFS 203
10.4.5 THE DEPENDENCE OF THE VALUE OF
AC
S
ON THE PDF PARAMETRIZATION . . 205
10.4.6 A
S
-FITS TO PREDICTIONS INCLUDING A^-DEPENDENCIES OF THE PDFS .... 206
10.5 STUDY OF THE DEPENDENCE OF A
S
ON THE SCALE VARIATION 206
10.6 STUDY ON K-FACTOR CUT 208
10.7 SUMMARY AND CONCLUSION ON THE A
S
-FIT 211
11 SUMMARY AND OUTLOOK 215
A DATA TABLES 219
B TABLES OF A
S
-VALUES 235
C FLEXIBLE SCALE CONCEPT FOR FASTNLO 237
C.L THE FASTNLO CONCEPT 237
C.2 SCALE FLEXIBILITY FOR THE FASTNLO CONCEPT 239
C.3 STUDY AND APPLICATION OF THE FLEXIBLE SCALE CONCEPT 240
C.4 EXEMPLARY APPLICATION FOR LHC JET PRODUCTION 241
D FASTNLO FOR DIFFRACTIVE DIS 245
D.L JET PRODUCTION IN DIFFRACTIVE DIS 245
D.2 THE FASTNLO CONCEPT FOR JET PRODUCTION IN DIFFRACTIVE DIS 246
D.3 STUDY OF THE XP-INTEGRATION 248
D.4 CROSS SECTION CALCULATION AS FUNCTION OF XP 248
REFERENCES 265
V
|
any_adam_object | 1 |
author | Britzger, Daniel |
author_GND | (DE-588)104469758X |
author_facet | Britzger, Daniel |
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building | Verbundindex |
bvnumber | BV041711859 |
ctrlnum | (OCoLC)865104465 (DE-599)GBV771273525 |
dewey-full | 539.73712 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 539 - Modern physics |
dewey-raw | 539.73712 |
dewey-search | 539.73712 |
dewey-sort | 3539.73712 |
dewey-tens | 530 - Physics |
discipline | Physik |
format | Thesis Book |
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spelling | Britzger, Daniel Verfasser (DE-588)104469758X aut Regularized unfolding of jet cross sections in deep-inelastic ep scattering at HERA and determination of the strong coupling constant vorgelegt von Daniel Andreas Britzger Hamburg DESY 2013 V, 265 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Zusammenfassung in dt. und engl. Sprache Hamburg, Univ., Diss., 2013 (DE-588)4113937-9 Hochschulschrift gnd-content DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027159032&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Britzger, Daniel Regularized unfolding of jet cross sections in deep-inelastic ep scattering at HERA and determination of the strong coupling constant |
subject_GND | (DE-588)4113937-9 |
title | Regularized unfolding of jet cross sections in deep-inelastic ep scattering at HERA and determination of the strong coupling constant |
title_auth | Regularized unfolding of jet cross sections in deep-inelastic ep scattering at HERA and determination of the strong coupling constant |
title_exact_search | Regularized unfolding of jet cross sections in deep-inelastic ep scattering at HERA and determination of the strong coupling constant |
title_full | Regularized unfolding of jet cross sections in deep-inelastic ep scattering at HERA and determination of the strong coupling constant vorgelegt von Daniel Andreas Britzger |
title_fullStr | Regularized unfolding of jet cross sections in deep-inelastic ep scattering at HERA and determination of the strong coupling constant vorgelegt von Daniel Andreas Britzger |
title_full_unstemmed | Regularized unfolding of jet cross sections in deep-inelastic ep scattering at HERA and determination of the strong coupling constant vorgelegt von Daniel Andreas Britzger |
title_short | Regularized unfolding of jet cross sections in deep-inelastic ep scattering at HERA and determination of the strong coupling constant |
title_sort | regularized unfolding of jet cross sections in deep inelastic ep scattering at hera and determination of the strong coupling constant |
topic_facet | Hochschulschrift |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027159032&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT britzgerdaniel regularizedunfoldingofjetcrosssectionsindeepinelasticepscatteringatheraanddeterminationofthestrongcouplingconstant |