- Page 7 and 8: Contentsvii1.4.1 Effective Lagrangi
- Page 9 and 10: Contentsix4 One-loop Higgs plus fou
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- Page 19 and 20: 1.1. The Standard Model of Particle
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- Page 38 and 39: 1.4. Effective coupling between glu
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- Page 46 and 47: Chapter 2Unitarity and on-shell met
- Page 48 and 49: 2.1. Unitarity 33four dimensional c
- Page 50 and 51: 2.2. Quadruple cuts 35Here the LHS
- Page 52 and 53: 2.2. Quadruple cuts 37Minkowskii sp
- Page 54 and 55: 2.2. Quadruple cuts 39We also note
- Page 56 and 57: 2.3. Forde’s Laurent expansion me
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- Page 60 and 61: 2.4. Spinor integration 45complicat
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2.4. Spinor integration 47+ 2π[˜
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2.4. Spinor integration 49to the cu
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2.4. Spinor integration 512.4.3 A d
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2.5. MHV rules and BCFW recursion r
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2.5. MHV rules and BCFW recursion r
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2.6. The unitarity-bootstrap 572.6.
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2.6. The unitarity-bootstrap 59defo
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2.6. The unitarity-bootstrap 61whic
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2.6. The unitarity-bootstrap 63The
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2.7. D-dimensional techniques 652.7
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2.8. Recent progress: One-loop auto
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Chapter 3One-loop φ-MHV amplitudes
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3.2. The cut-constructible parts 71
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3.2. The cut-constructible parts 73
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3.2. The cut-constructible parts 75
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3.2. The cut-constructible parts 77
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3.2. The cut-constructible parts 79
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3.2. The cut-constructible parts 81
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3.2. The cut-constructible parts 83
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3.2. The cut-constructible parts 85
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3.2. The cut-constructible parts 87
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3.2. The cut-constructible parts 89
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3.2. The cut-constructible parts 91
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3.2. The cut-constructible parts 93
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3.2. The cut-constructible parts 95
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3.2. The cut-constructible parts 97
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3.3. The rational pieces 99parton m
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3.3. The rational pieces 101The dir
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3.3. The rational pieces 103They ca
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3.3. The rational pieces 1053.3.5 C
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3.4. Cross Checks and Limits 107(3.
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3.4. Cross Checks and Limits 109the
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3.4. Cross Checks and Limits 111as
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3.4. Cross Checks and Limits 1133.4
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3.5. Summary 115−ˆ1 − +2 2 +
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4.2. Cut-Constructible Contribution
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4.2. Cut-Constructible Contribution
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4.2. Cut-Constructible Contribution
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4.3. Rational Terms 123and{C (2) 2s
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4.4. Higgs plus four gluon amplitud
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4.4. Higgs plus four gluon amplitud
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4.5. Numerical Evaluation 129+ 〈2
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4.6. Summary 131the addition of qua
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5.1. Introduction 133increased numb
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5.1. Introduction 135By using parit
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5.2. One-loop results 137= i A (0)4
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5.2. One-loop results 139with,−
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5.2. One-loop results 141with() 2
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5.2. One-loop results 143with−〈
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5.3. Numerical results 1455.3 Numer
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Chapter 6Phenomenological Studies6.
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6.3. Parameters 149• H¯qq ¯QQ:
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6.4. Tevatron results 151|η jet |
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6.4. Tevatron results 153into accou
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6.5. LHC results 155Figure 6.1: Sca
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6.5. LHC results 157troweak process
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6.5. LHC results 159Figure 6.4: The
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6.5. LHC results 161p Hp 1 p 2p 1j
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6.5. LHC results 163Figure 6.8: The
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6.6. Summary 165Figure 6.10: p T di
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Chapter 7ConclusionsIn this thesis
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Chapter 7. Conclusions 169licly ava
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A.1. Spinor Helicity Formalism nota
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A.2. Tree-level amplitudes 173pair
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A.4. φ plus parton amplitudes 175A
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B.2. Box Integral Functions 177B.2
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eplacemenB.2. Box Integral Function
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Bibliography[1] R. K. Ellis and S.
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Bibliography 183[24] P. Jimenez-Del
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Bibliography 185[52] ALEPH Collabor
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Bibliography 187[75] C. Anastasiou
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Bibliography 189[95] L. J. Dixon, E
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Bibliography 191[114] Z. Bern, L. J
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Bibliography 193[136] R. Britto, B.
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Bibliography 195[159] P. Benincasa,
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Bibliography 197[180] C. F. Berger
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Bibliography 199[203] G. Mahlon, Mu