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

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Contentsx6 Phenomenological Studies 1476.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1476.2 Improvements from the semi-numeric code . . . . . . . . . . . . . . . 1486.3 Parameters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1496.4 Tevatron results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1506.4.1 Effect of additional search cuts . . . . . . . . . . . . . . . . . 1536.5 LHC results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1546.5.1 Weak boson fusion . . . . . . . . . . . . . . . . . . . . . . . . 1566.5.2 Dynamic versus fixed scale choices . . . . . . . . . . . . . . . 1576.5.3 Considerations from the effective theory . . . . . . . . . . . . 1616.6 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1647 Conclusions 167Appendix 170A Spinor Helicity Formalism and Tree-level Amplitudes 170A.1 Spinor Helicity Formalism notation and conventions . . . . . . . . . . 170A.1.1 Spinor notations . . . . . . . . . . . . . . . . . . . . . . . . . 170A.1.2 Colour ordering of φ plus parton amplitudes at tree-level andone-loop . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 172A.2 Tree-level amplitudes . . . . . . . . . . . . . . . . . . . . . . . . . . . 173A.3 Pure QCD amplitudes . . . . . . . . . . . . . . . . . . . . . . . . . . 174A.4 φ plus parton amplitudes . . . . . . . . . . . . . . . . . . . . . . . . . 175B One-loop Basis Integrals 176B.1 Extraction of kinematic factors . . . . . . . . . . . . . . . . . . . . . 176
ContentsxiB.2 Box Integral Functions . . . . . . . . . . . . . . . . . . . . . . . . . . 177B.2.1 Triangle basis integrals . . . . . . . . . . . . . . . . . . . . . . 178B.2.2 Bubble basis integrals . . . . . . . . . . . . . . . . . . . . . . 179
Page 7 and 8: Contentsvii1.4.1 Effective Lagrangi
Page 9: Contentsix4 One-loop Higgs plus fou
Page 18 and 19: 1.1. The Standard Model of Particle
Page 20: 1.1. The Standard Model of Particle
Page 27 and 28: 1.2. Electroweak Symmetry Breaking
Page 33 and 34: 1.3. Higgs searches at colliders 18
Page 39 and 40: 1.4. Effective coupling between glu
Page 41 and 42: 1.4. Effective coupling between glu
Page 43 and 44: 1.5. Higgs plus two jets: Its pheno
Page 45 and 46: 1.5. Higgs plus two jets: Its pheno
Page 47 and 48: 2.1. Unitarity 32of two tree level
Page 49 and 50: 2.2. Quadruple cuts 34the rational
Page 51 and 52: 2.2. Quadruple cuts 360000000111111
Page 53 and 54: 2.2. Quadruple cuts 38We now must s
Page 55 and 56: 2.3. Forde’s Laurent expansion me
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2.4. Spinor integration 46Here we h
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2.4. Spinor integration 48The expli
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2.4. Spinor integration 50with F z
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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 56Next
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2.6. The unitarity-bootstrap 58Figu
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2.6. The unitarity-bootstrap 60of o
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2.6. The unitarity-bootstrap 62rati
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2.6. The unitarity-bootstrap 64Afte
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2.8. Recent progress: One-loop auto
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2.9. Summary 68cluding the recent c
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3.2. The cut-constructible parts 70
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eplacemen3.2. The cut-constructible
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3.3. The rational pieces 98m−1∑
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3.3. The rational pieces 100+m−1
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3.3. The rational pieces 102+R(4 +
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3.3. The rational pieces 104The cal
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3.4. Cross Checks and Limits 1063.4
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3.4. Cross Checks and Limits 108The
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3.4. Cross Checks and Limits 110The
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3.4. Cross Checks and Limits 112−
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3.5. Summary 114The rational terms
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Chapter 4One-loop Higgs plus four-g
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4.2. Cut-Constructible Contribution
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4.3. Rational Terms 124contains two
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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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4.6. Summary 130p µ 2 = (+0.344450
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Chapter 5The φqqgg- NMHV amplitude
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5.1. Introduction 134Figure 5.1: Sa
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5.1. Introduction 136H amplitude φ
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5.2. One-loop results 138A L 4 (φ,
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5.2. One-loop results 140with K 1 =
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5.2. One-loop results 142Relation f
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5.2. One-loop results 144+ 1s 123[
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5.4. Summary 146(φ, 1 −¯q , 2 +
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6.2. Improvements from the semi-num
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6.4. Tevatron results 150The W mass
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6.4. Tevatron results 152m H [GeV]
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6.5. LHC results 154Eq. (6.11) and
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6.5. LHC results 156m H [GeV] 120 1
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6.5. LHC results 158Figure 6.3: The
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6.5. LHC results 160of describing T
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6.5. LHC results 162Figure 6.6: p T
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6.6. Summary 164at LO and the effec
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6.6. Summary 166of Higgs masses, 15
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Chapter 7. Conclusions 168one can d
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Appendix ASpinor Helicity Formalism
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A.1. Spinor Helicity Formalism nota
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A.3. Pure QCD amplitudes 174Further
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Appendix BOne-loop Basis IntegralsI
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B.2. Box Integral Functions 178boxe
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B.2. Box Integral Functions 180L 2
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Bibliography 182[10] R. Feynman, Ma
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Bibliography 184[36] M. Bahr et. al
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Bibliography 186[63] M. Shifman, A.
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Bibliography 188[85] R. V. Harlande
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Bibliography 190[104] R. K. Ellis,
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Bibliography 192[125] G. Ossola, C.
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Bibliography 194[148] R. Boels and
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Bibliography 196[170] Z. Bern and A
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Bibliography 198anti-t + 2 jets at
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Bibliography 200[214] C. Anastasiou
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