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

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6.5. LHC results 157troweak process is expected to dominate once appropriate search cuts are employed,the remaining fraction of events originating from gluon fusion must be taken intoaccount when considering potential measurements of the Higgs coupling to W andZ bosons.To address this issue, in this section we present a brief study of the rate of eventsexpected using typical weak boson fusion search cuts. In addition to the cuts alreadyimposed (Eq. (6.14)), these correspond to,|η j1 − η j2 | > 4.2 , η j1 · η j2 < 0 , (6.15)where j 1 and j 2 are the two jets with the highest transverse momenta. These cutspick out the distinctive signature of two hard jets in opposite hemispheres separatedby a large distance in pseudorapidity. This is illustrated in Fig6.3, where we comparethe distributions of the jet pseudorapidity difference (without these cuts) in bothgluon fusion and weak boson fusion. We note in passing that the shape of thisdistribution for the weak boson fusion process is slightly altered at NLO, whilst theshape of the prediction for the gluon fusion process is essentially unchanged.In Fig 6.4 we show the dependence of the cross section on the c.o.m. energy,from √ s = 7 TeV (corresponding to the initial running in 2010-11) to √ s = 14 TeV(design expectations). We show the cross section both before and after applicationof the additional weak boson fusion search cuts given in Eq. (6.15), together withthe corresponding results for the WBF process (also calculated using MCFM [99]).The QCD corrections to both processes decrease slightly as √ s is increased, whilstthe ratio of the gluon fusion to WBF cross sections after the search cuts are appliedincreases from 20% at 7 TeV to 35% at 14 TeV. This indicates that, viewed as abackground to the weak boson fusion process, the hadronic Higgs + 2 jet process isless troublesome at energies below the nominal design value.6.5.2 Dynamic versus fixed scale choicesWe wish to study the effects of different scale choices on our results. It has been noted[179–181] in W +3j calculations that certain fixed scale choices do a rather poor job
6.5. LHC results 158Figure 6.3: The jet pseudorapidity difference in gluon fusion (red) and weak bosonfusion (blue). The NLO predictions are shown as solid histograms, while thedashed lines indicate the LO predictions normalized to the corresponding NLO crosssections.
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Contentsvii1.4.1 Effective Lagrangi
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Contentsix4 One-loop Higgs plus fou
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ContentsxiB.2 Box Integral Function
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1.1. The Standard Model of Particle
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1.2. Electroweak Symmetry Breaking
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1.3. Higgs searches at colliders 18
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1.4. Effective coupling between glu
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1.4. Effective coupling between glu
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1.5. Higgs plus two jets: Its pheno
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1.5. Higgs plus two jets: Its pheno
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2.1. Unitarity 32of two tree level
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2.2. Quadruple cuts 34the rational
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2.2. Quadruple cuts 360000000111111
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2.2. Quadruple cuts 38We now must s
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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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Page 127 and 128: 3.4. Cross Checks and Limits 112−
Page 129 and 130: 3.5. Summary 114The rational terms
Page 131 and 132: Chapter 4One-loop Higgs plus four-g
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Page 139 and 140: 4.3. Rational Terms 124contains two
Page 141 and 142: 4.4. Higgs plus four gluon amplitud
Page 143 and 144: 4.4. Higgs plus four gluon amplitud
Page 145 and 146: 4.6. Summary 130p µ 2 = (+0.344450
Page 147 and 148: Chapter 5The φqqgg- NMHV amplitude
Page 149 and 150: 5.1. Introduction 134Figure 5.1: Sa
Page 151 and 152: 5.1. Introduction 136H amplitude φ
Page 153 and 154: 5.2. One-loop results 138A L 4 (φ,
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Page 157 and 158: 5.2. One-loop results 142Relation f
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Page 161 and 162: 5.4. Summary 146(φ, 1 −¯q , 2 +
Page 163 and 164: 6.2. Improvements from the semi-num
Page 165 and 166: 6.4. Tevatron results 150The W mass
Page 167 and 168: 6.4. Tevatron results 152m H [GeV]
Page 169 and 170: 6.5. LHC results 154Eq. (6.11) and
Page 171: 6.5. LHC results 156m H [GeV] 120 1
Page 175 and 176: 6.5. LHC results 160of describing T
Page 177 and 178: 6.5. LHC results 162Figure 6.6: p T
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Page 181 and 182: 6.6. Summary 166of Higgs masses, 15
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Page 185 and 186: Appendix ASpinor Helicity Formalism
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Page 189 and 190: A.3. Pure QCD amplitudes 174Further
Page 191 and 192: Appendix BOne-loop Basis IntegralsI
Page 193 and 194: B.2. Box Integral Functions 178boxe
Page 195 and 196: B.2. Box Integral Functions 180L 2
Page 197 and 198: Bibliography 182[10] R. Feynman, Ma
Page 199 and 200: Bibliography 184[36] M. Bahr et. al
Page 201 and 202: Bibliography 186[63] M. Shifman, A.
Page 203 and 204: Bibliography 188[85] R. V. Harlande
Page 205 and 206: Bibliography 190[104] R. K. Ellis,
Page 207 and 208: Bibliography 192[125] G. Ossola, C.
Page 209 and 210: Bibliography 194[148] R. Boels and
Page 211 and 212: Bibliography 196[170] Z. Bern and A
Page 213 and 214: Bibliography 198anti-t + 2 jets at
Page 215: Bibliography 200[214] C. Anastasiou
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