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The Top Quark in the Context of the Standard Model

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Top Quark Pair Production

Part of the book series: Springer Theses ((Springer Theses))

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Abstract

The analyses presented in this thesis deal with measurements of the production of top quark pairs at the Large Hadron Collider, as predicted in the framework of the Standard Model of Particle Physics. The first part of this chapter will focus on the theoretical framework in general, while the second part will describe the production and properties of top quarks in more detail and give an overview of the current experimental knowledge of top quark production.

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Notes

  1. 1.

    While 23 % are dark matter and the remaining 72 % dark energy.

  2. 2.

    i.e. spin 1/2 particles.

  3. 3.

    Where \(Q\) denotes the electric charge and \(T_3\) the third component of the weak isospin.

  4. 4.

    A massless fermion is identified as left-handed if the direction of motion and spin are opposite to each other, and as right-handed otherwise. For massive leptons the handedness is defined as the chirality, describing the behavior under right- and left-handed transformations.

  5. 5.

    Also called the weak mixing angle.

  6. 6.

    ATLAS and CMS.

  7. 7.

    At 95 % C.L.

  8. 8.

    And a ninth combination as a color singlet, which is not realized in nature.

  9. 9.

    Unlike their massless equivalent in electroweak theory, the charge neutral photon \(\gamma \).

  10. 10.

    Or anti-up and anti-down valence quarks from the antiproton.

  11. 11.

    \(m_t = 172.5\) GeV is assumed for the Monte Carlo generated samples in the experimental analyses presented and hence the cross section is calculated accordingly.

  12. 12.

    A similar calculation using the MSTW2008NNLO PDF set, which is better comparable to the other predictions, yields \(\sigma _{t\bar{t}} = 165.8^{+4.4}_{-7.0}(scale)\pm 9.1(PDF) pb\) [27].

  13. 13.

    Or sometimes as semileptonic event, although the decays themselves are either strictly hadronic or strictly leptonic.

  14. 14.

    Including events with electrons or muons and jets, as well as events with taus if the tau lepton decays leptonically.

  15. 15.

    Which also includes the \(W\) boson decays \(W \rightarrow \tau \nu \rightarrow e/\mu \nu \nu \).

  16. 16.

    Again including leptonic tau decays.

  17. 17.

    As of March 2012.

References

  1. K. Nakamura et al., The review of particle physics. J. Phys. G 37, 075021 (2010)

    Article  ADS  Google Scholar 

  2. Tevatron Electroweak Working Group, for the CDF and D0 Collaborations. Combination of CDF and D0 Results on the Mass of the Top Quark Using up to 5.8 \({\text{ fb }}^{-1}\) of Data. arXiv: hep-ex 1107.5255 (2011)

    Google Scholar 

  3. S.L. Glashow, Partial symmetries of weak interactions. Nucl. Phys. 22, 579 (1961)

    Article  Google Scholar 

  4. A. Salam et al., Electromagnetic and weak interactions. Phys. Lett. 13, 168 (1964)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  5. S. Weinberg, A model of leptons. Phys. Rev. Lett. 19, 1264 (1967)

    Article  ADS  Google Scholar 

  6. P. Higgs, Broken symmetries, massless particles and gauge fields. Phys. Lett. 12, 132–133 (1964)

    Article  ADS  Google Scholar 

  7. P. Higgs, Broken symmetries and the masses of gauge bosons. Phys. Rev. Lett. 13, 508–509 (1964)

    Article  MathSciNet  ADS  Google Scholar 

  8. G.S. Guralnik et al., Global conservation laws and massless particles. Phys. Rev. Lett. 13, 585 (1964)

    Article  MathSciNet  ADS  Google Scholar 

  9. F. Englert, R. Brout, Broken symmetry and the mass of gauge vector mesons. Phys. Rev. Lett 13, 321–322 (1964)

    Article  MathSciNet  ADS  Google Scholar 

  10. LEP Working Group for Higgs boson searches. Search for the standard model Higgs boson at LEP. Phys. Lett. B, 565, 61–75 (2003)

    Google Scholar 

  11. The CDF and DØ Collaborations. Combined CDF and D0 upper limits on standard model Higgs boson production with up to 8.2 \(\text{ fb }^{-1}\) of data. arXiv: hep-ex 1107.5518 (2011)

    Google Scholar 

  12. The ATLAS Collaboration. Combination of Higgs boson searches with up to 4.9 \({\text{ fb }}^{-1}\) of pp collisions data taken at a center-of-mass energy of 7 TeV with the ATLAS experiment at the LHC. ATLAS-CONF-2011-163 (2011)

    Google Scholar 

  13. The CMS Collaboration. Combination of SM Higgs Searches. CMS-PAS-HIG-11-032 (2011)

    Google Scholar 

  14. N. Cabibbo, Unitary symmetry and leptonic decays. Phys. Rev. Lett. 10, 531–533 (1963)

    Article  ADS  Google Scholar 

  15. M. Kobayashi, T. Maskawa, CP violation in the renomarlizable theory of weak interaction. Prog. Theor. Phys. 49, 652–657 (1973)

    Article  ADS  Google Scholar 

  16. H.D. Politzer, Reliable perturbative results for strong interactions? Phys. Rev. Lett. 30, 1346–1349 (1973)

    Article  ADS  Google Scholar 

  17. D.J. Gross, F. Wilczek, Ultraviolet behavior of non-abelian gauge theories. Phys. Rev. Lett. 30, 1343–1346 (1973)

    Article  ADS  Google Scholar 

  18. D.J. Gross, F. Wilczek, Asymptotically free gauge theories. Phys. Rev. D 8, 3633–3652 (1973)

    Article  ADS  Google Scholar 

  19. The CDF Collaboration. Observation of top quark production in \(p\bar{p}\) collisions. Phys. Rev. Lett. 74, 2626–2631 (1995)

    Google Scholar 

  20. The DØ Collaboration. Observation of the top quark. Phys. Rev. Lett. 74, 2632–2637 (1995)

    Google Scholar 

  21. S. Catani: Aspects of QCD, from the tevatron to the LHC. arXiv: hep-ph 005233 (2000)

    Google Scholar 

  22. P.M. Nadolsky, H.-L. Lai, Q.-H. Cao, J. Huston, J. Pumplin et al., Implications of CTEQ global analysis for collider observables. Phys. Rev. D 78, 013004 (2008)

    Article  ADS  Google Scholar 

  23. The Durham HepData Project. http://hepdata.cedar.ac.uk/pdf/pdf3.html

  24. S. Moch, P. Uwer, Theoretical status and prospects for top-quark pair production at hadron colliders. Phys. Rev. D 78, 034004 (2008)

    Article  ADS  Google Scholar 

  25. U. Langenfeld, S. Moch, P. Uwer: New results for t anti-t production at hadron colliders. arXiv: hep-ph 0907.2527 (2009)

    Google Scholar 

  26. M. Aliev, H. Lacker, U. Langenfeld, S. Moch, P. Uwer, et al.: HATHOR: HAdronic Top and Heavy quarks crOss section calculatoR. Comput. Phys. Commun. 182, 1034–1046 (2011)

    Google Scholar 

  27. The CMS Collaboration. Determination of the top quark mass from the \(t\bar{t}\) cross section at \(\sqrt{s} = 7\) TeV. CMS-PAS-TOP-11-008 (2011)

    Google Scholar 

  28. N. Kidonakis, Next-to-next-to-leading soft-gluon corrections for the top quark cross section and transverse momentum distribution. Phys. Rev. D 82, 114030 (2010)

    Article  ADS  Google Scholar 

  29. A.D. Martin, W.J. Stirling, R.S. Thorne, G. Watt, Parton distributions for the LHC. Eur. Phys. J. C. 63, 189–285 (2009)

    Article  ADS  Google Scholar 

  30. V. Ahrens, A. Ferroglia, M. Neubert, B. Pecjak, L.L. Yan.: Precision predictions for the t+t(bar) production cross section at hadron colliders. arXiv: hep-ph 1105.5824 (2011)

    Google Scholar 

  31. M. Beneke, P. Falgari, S. Klein, C. Schwinn.: Hadronic top-quark pair production with NNLL threshold resummation. Nucl. Phys. B. 855, 695–741 (2012)

    Google Scholar 

  32. M. Cacciari, M. Czakon, M.L. Mangano, A. Mitov, P. Nason.: Top-pair production at hadron colliders with next-to-next-to-leading logarithmic soft-gluon resummation. arXiv: hep-ph 1111.5869 (2011)

    Google Scholar 

  33. M. Beneke, M. Czakon, P. Falgari, A. Mitov, C. Schwinn, Threshold expansion of the gg(qq) \(\rightarrow \) QQ+X cross section at O(\(\alpha _s^4\)). Phys. Lett. B 690, 483 (2010)

    Article  ADS  Google Scholar 

  34. The CDF Collaboration. Observation of electroweak single top-quark production. Phys. Rev. Lett. 103, 092002 (2009)

    Google Scholar 

  35. The DØ Collaboration. Observation of single top-quark production. Phys. Rev. Lett. 103, 092001 (2009)

    Google Scholar 

  36. N. Kidonakis, Next-to-next-to-leading-order collinear and soft gluon corrections for t-channel single top quark production. Phys. Rev. D 83, 091503 (2011)

    Article  ADS  Google Scholar 

  37. N. Kidonakis, NNLL resummation for s-channel single top quark production. Phys. Rev. D 81, 054028 (2010)

    Article  ADS  Google Scholar 

  38. N. Kidonakis, Two-loop soft anomalous dimensions for single top quark associated production with a W- or H-. Phys. Rev. D 82, 054018 (2010)

    Article  ADS  Google Scholar 

  39. The CDF Collaboration. Measurement of B(t\(\rightarrow \)Wb/b(t\(\rightarrow \)wq) at the collider detector at fermilab. Phys. Rev. Lett. 102002

    Google Scholar 

  40. The DØ Collaboration. Precision measurement of the ratio B(t\(\rightarrow \) Wb)/B(t \(\rightarrow \) Wq) and extraction of \(V_{tb}\). Phys. Rev. Lett. 107, 121802 (2011)

    Google Scholar 

  41. First measurement of \(B(t\rightarrow Wb)/B(t\rightarrow Wq)\) in the dilepton channel in \(pp\) collisions at \(\sqrt{s} = 7\) TeV. CMS-PAS-TOP-11-029 (2012)

    Google Scholar 

  42. The CDF Collaboration. Top dilepton cross section in 5.1 \(\text{ fb }^{-1}\) using the DIL selection. CDF note 10163 (2010)

    Google Scholar 

  43. The CDF Collaboration. First measurement of the ratio \(\sigma _{(t\bar{t})} / \sigma _{(Z/\gamma \rightarrow \ell \ell )}\) and precise extraction of the \(t\bar{t}\) cross section. Phys. Rev. Lett. 105, 012001 (2010)

    Google Scholar 

  44. The CDF Collaboration. Measurement of the top quark mass and \(p\bar{p} \rightarrow t\bar{t}\) cross section in the all-hadronic mode with the CDF II detector. Phys. Rev. D 81, 052011 (2010)

    Google Scholar 

  45. The DØ Collaboration. Measurement of the \(t\bar{t}\) production cross section using dilepton events in \(p\bar{p} collisions\). Phys. Lett. B 704, 403–410 (2011)

    Google Scholar 

  46. The DØ Collaboration. Measurement of the top quark pair production cross section in the lepton+jets channel in proton-antiproton collisions at \(\sqrt{s} =\) 1.96 TeV. Phys. Rev. D 84, 012008 (2011)

    Google Scholar 

  47. The DØ Collaboration. Measurement of the \(t\bar{t}\) cross section using high-multiplicity jet events. Phys. Rev. D 82, 032002 (2010)

    Google Scholar 

  48. The ATLAS Collaboration. Measurement of the cross section for top-quark pair production in \(pp\) collisions at \(\sqrt{s} = 7\) TeV with the ATLAS detector using final states with two high-Pt leptons. arXiv: hep-ex 1202.4892 (2011)

    Google Scholar 

  49. The ATLAS Collaboration. Measurement of the ttbar production cross-section in \(pp\) collisions at \(\sqrt{s} = 7\) TeV using kinematic information of lepton+jets events. ATLAS-CONF-2011-121 (2011)

    Google Scholar 

  50. The ATLAS Collaboration. Measurement of \(t\bar{t}\) production in the all-hadronic channel in 1.02 \(\text{ fb }^{-2}\) of \(pp\) collisions at \(\sqrt{s} = 7\) TeV with the ATLAS detector. ATLAS-CONF-2011-140 (2011)

    Google Scholar 

  51. The CMS Collaboration. Top pair cross section in dileptons. CMS-PAS-TOP-11-005 (2011)

    Google Scholar 

  52. The CMS Collaboration. Measurement of ttbar pair production cross section at \(\sqrt{s} = 7\) TeV using b-quark jet identification techniques in lepton+jet events. CMS-PAS-TOP-11-003 (2011)

    Google Scholar 

  53. The CMS Collaboration. Measurement of the ttbar production cross section in the fully hadronic decay channel in \(pp\) collisions at 7 TeV. CMS-PAS-TOP-11-007 (2011)

    Google Scholar 

  54. The CDF Collaboration. Combination of CDF top quark pair production cross section measurements with up to 4.6 \(\text{ fb }^{-1}\). CDF note 9913 (2009)

    Google Scholar 

  55. The ATLAS Collaboration. Statistical combination of top quark pair production cross-section measurements using dilepton, single-lepton, and all-hadronic final states at \(\sqrt{s} = 7\) TeV with the ATLAS detector. ATLAS-CONF-2012-024 (2012)

    Google Scholar 

  56. The CMS Collaboration. Combination of top pair production cross section measurements. CMS-PAS-TOP-11-024 (2011)

    Google Scholar 

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Correspondence to Anna Christine Henrichs .

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Henrichs, A.C. (2014). The Top Quark in the Context of the Standard Model. In: Top Quark Pair Production. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-01487-6_2

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