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

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6.5. LHC results 155Figure 6.1: Scale dependence for the Higgs + 2 jet cross section, with the Higgsdecay into W − (→ µ −¯ν)W + (→ νe + ), at the Tevatron and using the a central scaleµ 0 = M H .Results are shown for the minimal set of cuts in Eq. (6.11) (upper curves)and for cuts that mimic the latest CDF H → WW ∗ analysis (lower curves).Figure 6.2: Scale dependence for the Higgs boson + 2 jet cross section, using thebasic set of cuts in Eq. (6.14) and a central scale choice µ 0 = m H .
6.5. LHC results 156m H [GeV] 120 140 160 180 200Γ H [GeV] 0.0036 0.0083 0.0826 0.629 1.426σ LO [pb] 1.88 +78%−40%1.48 +76%−40%1.20 +75%−40%0.98 +74%−39%0.81 +73%−39%σ NLO [pb] 1.98 +20%−23%1.63 +22%−23%1.36 +23%−23%1.15 +24%−23%0.98 +25%−24%R 1.060 ± 0.002 1.084 ± 0.003 1.113 ± 0.004 1.149 ± 0.005 1.191 ± 0.007Table 6.3: Cross section and uncertainties for Higgs + 2 jet production at √ s =10 TeV with the cuts of Eq. (6.14). The correction factor for each Higgs mass, givenby Eq. (6.4), is also shown.p mint (jet) [GeV] 20 25 30 40 50σ LO [pb] 3.66 2.62 1.96 1.20 0.79σ NLO [pb] 4.17 3.02 2.26 1.36 0.88Table 6.4: Cross section for Higgs + 2 jet production at √ s = 10 TeV, with m H =160 GeV and the minimum jet p t allowed to vary from that specified in Eq. (6.14).within this range that the Higgs + 2 jet process considered here is of most interest,due to its interplay with the electroweak weak boson fusion channel. We observethat the effect of the QCD corrections increases from about 5% for m H = 120 GeVto 21% for m H = 200 GeV. Estimating the theoretical error in the same way asbefore, we see that the uncertainty is slightly less at the LHC than at the Tevatron.It is also interesting to consider the dependence of the cross section on theminimum transverse momentum required for the observed jets. Results for severalother values of this threshold, either side of our default value of 40 GeV, are shownin Table 6.4. As can be seen from the table, the percentage effect of the NLOcorrections on the total rate is practically independent of the value of p mint (jet) inthe range studied.6.5.1 Weak boson fusionAs noted above, the process studied in this thesis produces the same final state asexpected from Higgs production via weak boson fusion (WBF). Although the elec-
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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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1.5. 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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2.4. 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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2.6. 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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2.9. Summary 68cluding the recent c
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eplacemen3.2. The cut-constructible
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Page 145 and 146: 4.6. Summary 130p µ 2 = (+0.344450
Page 147 and 148: Chapter 5The φqqgg- NMHV amplitude
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Page 151 and 152: 5.1. Introduction 136H amplitude φ
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Page 157 and 158: 5.2. One-loop results 142Relation f
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Page 165 and 166: 6.4. Tevatron results 150The W mass
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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
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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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