Hadronic production of a Higgs boson in association with two jets at ...

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Contentsvii1.4.1 Effective Lagrangian . . . . . . . . . . . . . . . . . . . . . . . 231.4.2 φ, φ † splitting of the Effective Lagrangian . . . . . . . . . . . . 271.5 Higgs plus two jets: Its phenomenological role and an overview of thisthesis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 282 Unitarity and on-shell methods 312.1 Unitarity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 312.1.1 Unitarity: An Introduction . . . . . . . . . . . . . . . . . . . . 312.2 Quadruple cuts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 342.2.1 The quadruple cut method . . . . . . . . . . . . . . . . . . . . 342.2.2 A quadruple cut example . . . . . . . . . . . . . . . . . . . . . 372.3 Forde’s Laurent expansion method . . . . . . . . . . . . . . . . . . . 402.3.1 The triple cut method . . . . . . . . . . . . . . . . . . . . . . 402.3.2 A triple cut example . . . . . . . . . . . . . . . . . . . . . . . 442.3.3 The double cut method . . . . . . . . . . . . . . . . . . . . . . 442.4 Spinor integration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 452.4.1 Spinor integration via the holomorphic anomaly . . . . . . . . 452.4.2 Spinor integration via Stokes’ Theorem . . . . . . . . . . . . . 482.4.3 A double cut example . . . . . . . . . . . . . . . . . . . . . . 512.5 MHV rules and BCFW recursion relations . . . . . . . . . . . . . . . 522.5.1 The MHV/CSW rules . . . . . . . . . . . . . . . . . . . . . . 522.5.2 The BCFW recursion relations . . . . . . . . . . . . . . . . . 542.6 The unitarity-bootstrap . . . . . . . . . . . . . . . . . . . . . . . . . 562.6.1 BCFW at one-loop . . . . . . . . . . . . . . . . . . . . . . . . 572.6.2 Cut-constructible, cut-completion, rational and overlap terms 592.6.3 Techniques for general helicity amplitudes . . . . . . . . . . . 62
Page 8 and 9: Contentsviii2.7 D-dimensional techn
Page 10 and 11: Contentsx6 Phenomenological Studies
Page 14: LIST OF FIGURESxivB.1 Conventions f
Page 19 and 20: 1.1. The Standard Model of Particle
Page 28 and 29: 1.2. Electroweak Symmetry Breaking
Page 30 and 31: 1.2. Electroweak Symmetry Breaking
Page 32 and 33: 1.3. Higgs searches at colliders 17
Page 38 and 39: 1.4. Effective coupling between glu
Page 44 and 45: 1.5. Higgs plus two jets: Its pheno
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
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2.2. Quadruple cuts 37Minkowskii sp
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2.2. Quadruple cuts 39We also note
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2.3. Forde’s Laurent expansion me
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2.3. Forde’s Laurent expansion me
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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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3.3. 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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4.3. 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
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