New methods for evaluating one-loop corrections of multi-jet production at the Large Hadron Collider:
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| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
Logos
2013
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 153 S. graph. Darst. |
| ISBN: | 9783832535803 |
Internformat
MARC
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|---|---|---|---|
| 001 | BV041541446 | ||
| 003 | DE-604 | ||
| 005 | 20140804 | ||
| 007 | t | ||
| 008 | 140103s2013 d||| m||| 00||| eng d | ||
| 020 | |a 9783832535803 |9 978-3-8325-3580-3 | ||
| 035 | |a (OCoLC)915309741 | ||
| 035 | |a (DE-599)BVBBV041541446 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-11 | ||
| 084 | |a UN 6150 |0 (DE-625)146151: |2 rvk | ||
| 100 | 1 | |a Biedermann, Benedikt |d 1980- |e Verfasser |0 (DE-588)143849131 |4 aut | |
| 245 | 1 | 0 | |a New methods for evaluating one-loop corrections of multi-jet production at the Large Hadron Collider |c von Benedikt Georg Biedermann |
| 264 | 1 | |a Berlin |b Logos |c 2013 | |
| 300 | |a X, 153 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 502 | |a Zugl.: Berlin, Humboldt-Univ., Diss., 2013 | ||
| 650 | 0 | 7 | |a Vier-Jet-Ereignis |0 (DE-588)4340528-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Wirkungsquerschnitt |0 (DE-588)4190024-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Quantenchromodynamik |0 (DE-588)4128082-9 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 689 | 0 | 0 | |a Vier-Jet-Ereignis |0 (DE-588)4340528-9 |D s |
| 689 | 0 | 1 | |a Wirkungsquerschnitt |0 (DE-588)4190024-8 |D s |
| 689 | 0 | 2 | |a Quantenchromodynamik |0 (DE-588)4128082-9 |D s |
| 689 | 0 | |5 DE-604 | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026987385&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
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Datensatz im Suchindex
| _version_ | 1804151644270624768 |
|---|---|
| adam_text | CONTENTS
INTRODUCTION 1
1. COLOUR ORDERING AND PRIMITIVE AMPLITUDES 5
1.1. TREE-LEVEL AMPLITUDES IN PURE GAUGE THEORY 5
1.2. QUARK-GLUON TREE-LEVEL AMPLITUDES 9
1.3. COLOUR DECOMPOSITION AND PRIMITIVE AMPLITUDES AT ONE-LOOP ORDER ...
13
1.4. COLOUR SUMMED SQUARED HELICITY AMPLITUDES 18
2. INTEGRAND REDUCTION TECHNIQUES AT ONE-LOOP ORDER 21
2.1. THE GENERAL STRUCTURE OF ONE-LOOP AMPLITUDES 21
2.1.1. KINEMATICAL CONVENTIONS 21
2.1.2. SCALAR INTEGRAL BASIS 23
2.1.3. COMMENTS ON THE RATIONAL PART 24
2.1.4. SCHEME DEPENDENCE AND UNIVERSAL POLE STRUCTURE 25
2.2. THE VAN NEERVEN-VERMASEREN BASIS 27
2.2.1. CONSTRUCTION OF THE BASIS VECTORS IN FOUR SPACE-TIME DIMENSIONS .
29
2.2.2. EXTENSION OF THE BASIS VECTORS TO FIVE SPACE-TIME DIMENSIONS ...
32
2.2.3. THE LOOP MOMENTUM IN TERMS OF THE VAN NEERVEN-VERMASEREN
BASIS 33
2.3. THE GENERAL STRUCTURE OF THE ONE-LOOP INTEGRAND 34
2.4. RATIONAL PART VERSUS CUT-CONSTRUCTIBLE PART AND THE CHOICE OF
MASTER IN
TEGRALS 41
2.5. COMPUTATION OF THE CUT-CONSTRUCTIBLE PART 55
2.5.1. THE BOX COEFFICIENTS 55
2.5.2. THE TRIANGLE COEFFICIENTS 57
2.5.3. THE BUBBLE COEFFICIENTS 63
2.6. COMPUTATION OF THE RATIONAL PART 66
2.6.1. THE RATIONAL PENTAGON CONTRIBUTION 67
2.6.2. THE RATIONAL BOX CONTRIBUTION 68
2.6.3. THE RATIONAL TRIANGLE CONTRIBUTION 72
2.6.4. THE RATIONAL BUBBLE CONTRIBUTION 73
2.7. TREE-LEVEL AMPLITUDES FOR THE UNITARITY CUTS 75
3. NUMERICAL COMPUTATION OF ONE-LOOP QCD AMPLITUDES 81
3.1. VALIDATION AND NUMERICAL ACCURACY 81
3.2. RUNTIME PERFORMANCE 93
IX
HTTP://D-NB.INFO/1045788325
CONTENTS
4. FOUR-JET PRODUCTION AT NEXT-TO-LEADING ORDER FOR THE LARGE HADRON
COLLIDER 99
4.1. GENERAL OUTLINE OF THE COMPUTATION 99
4.2. NUMERICAL SETUP 101
4.3. RESULTS 102
CONCLUSION 108
APPENDIX 111
A. SPINOR-HELICITY METHODS 113
B. ALGORITHMIC REALISATION OF COLOUR ORDERED OFF-SHELL RECURSION 119
B.L. CONSTRUCTIVE IMPLEMENTATION OF THE BERENDS-GIELE RECURSION 119
B.2. EXTENSION OF THE BERENDS-GIELE RECURSION TO ARBITRARY QUARK LINES
122
C. SOME GRAM DETERMINANT RELATIONS 127
D. ALTERNATIVE METHODS TO DISENTANGLE THE INTEGRAL COEFFICIENTS 129
D.L. THE CUT-CONSTRUCTIBLE INTEGRAL COEFFICIENT M
0
129
D.2. THE RATIONAL INTEGRAL COEFFICIENT B
9
130
|
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| author_facet | Biedermann, Benedikt 1980- |
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| discipline | Physik |
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| indexdate | 2024-07-10T00:58:06Z |
| institution | BVB |
| isbn | 9783832535803 |
| language | English |
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| physical | X, 153 S. graph. Darst. |
| publishDate | 2013 |
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| spelling | Biedermann, Benedikt 1980- Verfasser (DE-588)143849131 aut New methods for evaluating one-loop corrections of multi-jet production at the Large Hadron Collider von Benedikt Georg Biedermann Berlin Logos 2013 X, 153 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Zugl.: Berlin, Humboldt-Univ., Diss., 2013 Vier-Jet-Ereignis (DE-588)4340528-9 gnd rswk-swf Wirkungsquerschnitt (DE-588)4190024-8 gnd rswk-swf Quantenchromodynamik (DE-588)4128082-9 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Vier-Jet-Ereignis (DE-588)4340528-9 s Wirkungsquerschnitt (DE-588)4190024-8 s Quantenchromodynamik (DE-588)4128082-9 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026987385&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Biedermann, Benedikt 1980- New methods for evaluating one-loop corrections of multi-jet production at the Large Hadron Collider Vier-Jet-Ereignis (DE-588)4340528-9 gnd Wirkungsquerschnitt (DE-588)4190024-8 gnd Quantenchromodynamik (DE-588)4128082-9 gnd |
| subject_GND | (DE-588)4340528-9 (DE-588)4190024-8 (DE-588)4128082-9 (DE-588)4113937-9 |
| title | New methods for evaluating one-loop corrections of multi-jet production at the Large Hadron Collider |
| title_auth | New methods for evaluating one-loop corrections of multi-jet production at the Large Hadron Collider |
| title_exact_search | New methods for evaluating one-loop corrections of multi-jet production at the Large Hadron Collider |
| title_full | New methods for evaluating one-loop corrections of multi-jet production at the Large Hadron Collider von Benedikt Georg Biedermann |
| title_fullStr | New methods for evaluating one-loop corrections of multi-jet production at the Large Hadron Collider von Benedikt Georg Biedermann |
| title_full_unstemmed | New methods for evaluating one-loop corrections of multi-jet production at the Large Hadron Collider von Benedikt Georg Biedermann |
| title_short | New methods for evaluating one-loop corrections of multi-jet production at the Large Hadron Collider |
| title_sort | new methods for evaluating one loop corrections of multi jet production at the large hadron collider |
| topic | Vier-Jet-Ereignis (DE-588)4340528-9 gnd Wirkungsquerschnitt (DE-588)4190024-8 gnd Quantenchromodynamik (DE-588)4128082-9 gnd |
| topic_facet | Vier-Jet-Ereignis Wirkungsquerschnitt Quantenchromodynamik Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026987385&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT biedermannbenedikt newmethodsforevaluatingoneloopcorrectionsofmultijetproductionatthelargehadroncollider |