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Associated production of a Higgs boson at NNLO

  • John M. Campbell
  • R. Keith Ellis
  • Ciaran Williams
Open Access
Regular Article - Theoretical Physics
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Abstract

In this paper we present a Next-to-Next-to Leading Order (NNLO) calculation of the production of a Higgs boson in association with a massive vector boson. We include the decays of the unstable Higgs and vector bosons, resulting in a fully flexible parton-level Monte Carlo implementation. We also include all \( \mathcal{O}\left({\alpha}_s^2\right) \) contributions that occur in production for these processes: those mediated by the exchange of a single off-shell vector boson in the s-channel, and those which arise from the coupling of the Higgs boson to a closed loop of fermions. We study final states of interest for Run II phenomenology, namely \( H\to b\overline{b} \), γγ and WW ∗. The treatment of the \( H\to b\overline{b} \) decay includes QCD corrections at NLO. We use the recently developed N -jettiness regularization procedure, and study its viability in the presence of a large final-state phase space by studying pp → V (H → WW ∗) → leptons.

Keywords

Higgs Physics Perturbative QCD 
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References

  1. [1]
    ATLAS collaboration, Observation of a new particle in the search for the standard model Higgs boson with the ATLAS detector at the LHC, Phys. Lett. B 716 (2012) 1 [arXiv:1207.7214] [INSPIRE].
  2. [2]
    CMS collaboration, Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC, Phys. Lett. B 716 (2012) 30 [arXiv:1207.7235] [INSPIRE].
  3. [3]
    W. Buchmüller and D. Wyler, Effective lagrangian analysis of new interactions and flavor conservation, Nucl. Phys. B 268 (1986) 621 [INSPIRE].ADSCrossRefGoogle Scholar
  4. [4]
    K. Hagiwara, S. Ishihara, R. Szalapski and D. Zeppenfeld, Low-energy effects of new interactions in the electroweak boson sector, Phys. Rev. D 48 (1993) 2182 [INSPIRE].ADSGoogle Scholar
  5. [5]
    R. Contino, M. Ghezzi, C. Grojean, M. Muhlleitner and M. Spira, Effective Lagrangian for a light Higgs-like scalar, JHEP 07 (2013) 035 [arXiv:1303.3876] [INSPIRE].ADSMathSciNetCrossRefGoogle Scholar
  6. [6]
    J.M. Butterworth, A.R. Davison, M. Rubin and G.P. Salam, Jet substructure as a new Higgs search channel at the LHC, Phys. Rev. Lett. 100 (2008) 242001 [arXiv:0802.2470] [INSPIRE].ADSCrossRefGoogle Scholar
  7. [7]
    O. Brein, A. Djouadi and R. Harlander, NNLO QCD corrections to the Higgs-strahlung processes at hadron colliders, Phys. Lett. B 579 (2004) 149 [hep-ph/0307206] [INSPIRE].
  8. [8]
    O. Brein, R. Harlander, M. Wiesemann and T. Zirke, Top-quark mediated effects in hadronic Higgs-strahlung, Eur. Phys. J. C 72 (2012) 1868 [arXiv:1111.0761] [INSPIRE].ADSCrossRefGoogle Scholar
  9. [9]
    G. Ferrera, M. Grazzini and F. Tramontano, Associated WH production at hadron colliders: a fully exclusive QCD calculation at NNLO, Phys. Rev. Lett. 107 (2011) 152003 [arXiv:1107.1164] [INSPIRE].ADSCrossRefGoogle Scholar
  10. [10]
    G. Ferrera, M. Grazzini and F. Tramontano, Higher-order QCD effects for associated WH production and decay at the LHC, JHEP 04 (2014) 039 [arXiv:1312.1669] [INSPIRE].ADSCrossRefGoogle Scholar
  11. [11]
    G. Ferrera, M. Grazzini and F. Tramontano, Associated ZH production at hadron colliders: the fully differential NNLO QCD calculation, Phys. Lett. B 740 (2015) 51 [arXiv:1407.4747] [INSPIRE].ADSCrossRefGoogle Scholar
  12. [12]
    M.L. Ciccolini, S. Dittmaier and M. Krämer, Electroweak radiative corrections to associated WH and ZH production at hadron colliders, Phys. Rev. D 68 (2003) 073003 [hep-ph/0306234] [INSPIRE].
  13. [13]
    A. Denner, S. Dittmaier, S. Kallweit and A. Muck, Electroweak corrections to Higgs-strahlung off W/Z bosons at the Tevatron and the LHC with HAWK, JHEP 03 (2012) 075 [arXiv:1112.5142] [INSPIRE].ADSCrossRefMATHGoogle Scholar
  14. [14]
    S. Dawson, T. Han, W.K. Lai, A.K. Leibovich and I. Lewis, Resummation effects in vector-boson and Higgs associated production, Phys. Rev. D 86 (2012) 074007 [arXiv:1207.4207] [INSPIRE].ADSGoogle Scholar
  15. [15]
    D.Y. Shao, C.S. Li and H.T. Li, Resummation Prediction on Higgs and Vector Boson Associated Production with a Jet Veto at the LHC, JHEP 02 (2014) 117 [arXiv:1309.5015] [INSPIRE].ADSCrossRefGoogle Scholar
  16. [16]
    Y. Li and X. Liu, High precision predictions for exclusive V H production at the LHC, JHEP 06 (2014) 028 [arXiv:1401.2149] [INSPIRE].ADSCrossRefGoogle Scholar
  17. [17]
    K. Hamilton, P. Richardson and J. Tully, A positive-weight next-to-leading order Monte Carlo simulation for Higgs boson production, JHEP 04 (2009) 116 [arXiv:0903.4345] [INSPIRE].ADSCrossRefGoogle Scholar
  18. [18]
    G. Luisoni, P. Nason, C. Oleari and F. Tramontano, HW ± /HZ + 0 and 1 jet at NLO with the POWHEG BOX interfaced to GoSam and their merging within MiNLO, JHEP 10 (2013) 083 [arXiv:1306.2542] [INSPIRE].ADSCrossRefGoogle Scholar
  19. [19]
    D. Goncalves, F. Krauss, S. Kuttimalai and P. Maierhöfer, Higgs-Strahlung: merging the NLO Drell-Yan and loop-induced 0 + 1 jet multiplicities, Phys. Rev. D 92 (2015) 073006 [arXiv:1509.01597] [INSPIRE].ADSGoogle Scholar
  20. [20]
    A. Gehrmann-De Ridder, T. Gehrmann and E.W.N. Glover, Antenna subtraction at NNLO, JHEP 09 (2005) 056 [hep-ph/0505111] [INSPIRE].
  21. [21]
    S. Catani and M. Grazzini, An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC, Phys. Rev. Lett. 98 (2007) 222002 [hep-ph/0703012] [INSPIRE].
  22. [22]
    M. Czakon, A novel subtraction scheme for double-real radiation at NNLO, Phys. Lett. B 693 (2010) 259 [arXiv:1005.0274] [INSPIRE].ADSCrossRefGoogle Scholar
  23. [23]
    I.W. Stewart, F.J. Tackmann and W.J. Waalewijn, N -jettiness: an inclusive event shape to veto jets, Phys. Rev. Lett. 105 (2010) 092002 [arXiv:1004.2489] [INSPIRE].ADSCrossRefGoogle Scholar
  24. [24]
    R. Boughezal, C. Focke, X. Liu and F. Petriello, W -boson production in association with a jet at next-to-next-to-leading order in perturbative QCD, Phys. Rev. Lett. 115 (2015) 062002 [arXiv:1504.02131] [INSPIRE].ADSCrossRefGoogle Scholar
  25. [25]
    J. Gaunt, M. Stahlhofen, F.J. Tackmann and J.R. Walsh, N -jettiness subtractions for NNLO QCD calculations, JHEP 09 (2015) 058 [arXiv:1505.04794] [INSPIRE].CrossRefGoogle Scholar
  26. [26]
    J. Gao, C.S. Li and H.X. Zhu, Top quark decay at next-to-next-to leading order in QCD, Phys. Rev. Lett. 110 (2013) 042001 [arXiv:1210.2808] [INSPIRE].ADSCrossRefGoogle Scholar
  27. [27]
    J.C. Collins, D.E. Soper and G.F. Sterman, Transverse momentum distribution in Drell-Yan pair and W and Z boson production, Nucl. Phys. B 250 (1985) 199 [INSPIRE].ADSCrossRefGoogle Scholar
  28. [28]
    C.W. Bauer, S. Fleming and M.E. Luke, Summing Sudakov logarithms in B → X(sgamma) in effective field theory, Phys. Rev. D 63 (2000) 014006 [hep-ph/0005275] [INSPIRE].
  29. [29]
    C.W. Bauer, S. Fleming, D. Pirjol and I.W. Stewart, An effective field theory for collinear and soft gluons: heavy to light decays, Phys. Rev. D 63 (2001) 114020 [hep-ph/0011336] [INSPIRE].
  30. [30]
    C.W. Bauer, D. Pirjol and I.W. Stewart, Soft collinear factorization in effective field theory, Phys. Rev. D 65 (2002) 054022 [hep-ph/0109045] [INSPIRE].
  31. [31]
    C.W. Bauer and I.W. Stewart, Invariant operators in collinear effective theory, Phys. Lett. B 516 (2001) 134 [hep-ph/0107001] [INSPIRE].
  32. [32]
    C.W. Bauer, S. Fleming, D. Pirjol, I.Z. Rothstein and I.W. Stewart, Hard scattering factorization from effective field theory, Phys. Rev. D 66 (2002) 014017 [hep-ph/0202088] [INSPIRE].
  33. [33]
    I.W. Stewart, F.J. Tackmann and W.J. Waalewijn, Factorization at the LHC: from PDFs to initial state jets, Phys. Rev. D 81 (2010) 094035 [arXiv:0910.0467] [INSPIRE].ADSGoogle Scholar
  34. [34]
    J. Currie, A. Gehrmann-De Ridder, E.W.N. Glover and J. Pires, NNLO QCD corrections to jet production at hadron colliders from gluon scattering, JHEP 01 (2014) 110 [arXiv:1310.3993] [INSPIRE].ADSCrossRefGoogle Scholar
  35. [35]
    X. Chen, T. Gehrmann, E.W.N. Glover and M. Jaquier, Precise QCD predictions for the production of Higgs + jet final states, Phys. Lett. B 740 (2015) 147 [arXiv:1408.5325] [INSPIRE].ADSCrossRefGoogle Scholar
  36. [36]
    M. Brucherseifer, F. Caola and K. Melnikov, On the NNLO QCD corrections to single-top production at the LHC, Phys. Lett. B 736 (2014) 58 [arXiv:1404.7116] [INSPIRE].ADSCrossRefGoogle Scholar
  37. [37]
    R. Boughezal, C. Focke, W. Giele, X. Liu and F. Petriello, Higgs boson production in association with a jet at NNLO using jettiness subtraction, Phys. Lett. B 748 (2015) 5 [arXiv:1505.03893] [INSPIRE].ADSCrossRefGoogle Scholar
  38. [38]
    R. Boughezal, F. Caola, K. Melnikov, F. Petriello and M. Schulze, Higgs boson production in association with a jet at next-to-next-to-leading order, Phys. Rev. Lett. 115 (2015) 082003 [arXiv:1504.07922] [INSPIRE].ADSCrossRefGoogle Scholar
  39. [39]
    M. Czakon, D. Heymes and A. Mitov, High-precision differential predictions for top-quark pairs at the LHC, Phys. Rev. Lett. 116 (2016) 082003 [arXiv:1511.00549] [INSPIRE].ADSCrossRefGoogle Scholar
  40. [40]
    A. Gehrmann-De Ridder, T. Gehrmann, E.W.N. Glover, A. Huss and T.A. Morgan, Precise QCD predictions for the production of a Z boson in association with a hadronic jet, arXiv:1507.02850 [INSPIRE].
  41. [41]
    R. Boughezal et al., Z-boson production in association with a jet at next-to-next-to-leading order in perturbative QCD, Phys. Rev. Lett. 116 (2016) 152001 [arXiv:1512.01291] [INSPIRE].ADSCrossRefGoogle Scholar
  42. [42]
    M. Cacciari, F.A. Dreyer, A. Karlberg, G.P. Salam and G. Zanderighi, Fully differential vector-boson-fusion Higgs production at next-to-next-to-leading order, Phys. Rev. Lett. 115 (2015) 082002 [arXiv:1506.02660] [INSPIRE].ADSCrossRefGoogle Scholar
  43. [43]
    J.M. Campbell and R.K. Ellis, An update on vector boson pair production at hadron colliders, Phys. Rev. D 60 (1999) 113006 [hep-ph/9905386] [INSPIRE].
  44. [44]
    J.M. Campbell, R.K. Ellis and C. Williams, Vector boson pair production at the LHC, JHEP 07 (2011) 018 [arXiv:1105.0020] [INSPIRE].ADSCrossRefGoogle Scholar
  45. [45]
    J.M. Campbell, R.K. Ellis and W.T. Giele, A multi-threaded version of MCFM, Eur. Phys. J. C 75 (2015) 246 [arXiv:1503.06182] [INSPIRE].ADSCrossRefGoogle Scholar
  46. [46]
    R. Boughezal et al., Color singlet production at NNLO in MCFM, arXiv:1605.08011 [INSPIRE].
  47. [47]
    S. Catani and M.H. Seymour, A general algorithm for calculating jet cross-sections in NLO QCD, Nucl. Phys. B 485 (1997) 291 [hep-ph/9605323] [INSPIRE].
  48. [48]
    R. Hamberg, W.L. van Neerven and T. Matsuura, A complete calculation of the order α s2 correction to the Drell-Yan K factor, Nucl. Phys. B 359 (1991) 343 [Erratum ibid. B 644 (2002) 403] [INSPIRE].
  49. [49]
    R. Kelley, M.D. Schwartz, R.M. Schabinger and H.X. Zhu, The two-loop hemisphere soft function, Phys. Rev. D 84 (2011) 045022 [arXiv:1105.3676] [INSPIRE].ADSGoogle Scholar
  50. [50]
    P.F. Monni, T. Gehrmann and G. Luisoni, Two-loop soft corrections and resummation of the thrust distribution in the dijet region, JHEP 08 (2011) 010 [arXiv:1105.4560] [INSPIRE].ADSCrossRefMATHGoogle Scholar
  51. [51]
    J.R. Gaunt, M. Stahlhofen and F.J. Tackmann, The quark beam function at two loops, JHEP 04 (2014) 113 [arXiv:1401.5478] [INSPIRE].ADSCrossRefGoogle Scholar
  52. [52]
    J.M. Campbell, R.K. Ellis, Y. Li and C. Williams, Predictions for diphoton production at the LHC through NNLO in QCD, arXiv:1603.02663 [INSPIRE].
  53. [53]
    A. Idilbi, X.-d. Ji and F. Yuan, Resummation of threshold logarithms in effective field theory for DIS, Drell-Yan and Higgs production, Nucl. Phys. B 753 (2006) 42 [hep-ph/0605068] [INSPIRE].
  54. [54]
    T. Becher, M. Neubert and B.D. Pecjak, Factorization and momentum-space resummation in deep-inelastic scattering, JHEP 01 (2007) 076 [hep-ph/0607228] [INSPIRE].
  55. [55]
    C. Englert, M. McCullough and M. Spannowsky, Gluon-initiated associated production boosts Higgs physics, Phys. Rev. D 89 (2014) 013013 [arXiv:1310.4828] [INSPIRE].ADSGoogle Scholar
  56. [56]
    L. Altenkamp, S. Dittmaier, R.V. Harlander, H. Rzehak and T.J.E. Zirke, Gluon-induced Higgs-strahlung at next-to-leading order QCD, JHEP 02 (2013) 078 [arXiv:1211.5015] [INSPIRE].ADSCrossRefGoogle Scholar
  57. [57]
    R.V. Harlander, A. Kulesza, V. Theeuwes and T. Zirke, Soft gluon resummation for gluon-induced Higgs Strahlung, JHEP 11 (2014) 082 [arXiv:1410.0217] [INSPIRE].ADSCrossRefGoogle Scholar
  58. [58]
    ATLAS collaboration, Search for the bb decay of the standard model Higgs boson in associated (W/Z)H production with the ATLAS detector, JHEP 01 (2015) 069 [arXiv:1409.6212] [INSPIRE].
  59. [59]
    CMS collaboration, Search for the standard model Higgs boson produced in association with a W or a Z boson and decaying to bottom quarks, Phys. Rev. D 89 (2014) 012003 [arXiv:1310.3687] [INSPIRE].
  60. [60]
    ATLAS collaboration, Study of the Higgs boson decaying to W W ∗ produced in association with a weak boson with the ATLAS detector at the LHC, ATLAS-CONF-2015-005 (2015).
  61. [61]
    CMS collaboration, V H with H → W W → ℓνℓν and V → jj, CMS-PAS-HIG-13-017 (2015).
  62. [62]
    V.S. Fadin, V.A. Khoze and A.D. Martin, How suppressed are the radiative interference effects in heavy instable particle production?, Phys. Lett. B 320 (1994) 141 [hep-ph/9309234] [INSPIRE].
  63. [63]
    V.S. Fadin, V.A. Khoze and A.D. Martin, Interference radiative phenomena in the production of heavy unstable particles, Phys. Rev. D 49 (1994) 2247 [INSPIRE].ADSGoogle Scholar
  64. [64]
    E. Braaten and J.P. Leveille, Higgs boson decay and the running mass, Phys. Rev. D 22 (1980) 715 [INSPIRE].ADSGoogle Scholar
  65. [65]
    P.A. Baikov, K.G. Chetyrkin and J.H. Kuhn, Scalar correlator at O(α s4), Higgs decay into b-quarks and bounds on the light quark masses, Phys. Rev. Lett. 96 (2006) 012003 [hep-ph/0511063] [INSPIRE].
  66. [66]
    A. Djouadi, J. Kalinowski and M. Spira, HDECAY: a program for Higgs boson decays in the standard model and its supersymmetric extension, Comput. Phys. Commun. 108 (1998) 56 [hep-ph/9704448] [INSPIRE].
  67. [67]
    C. Anastasiou, F. Herzog and A. Lazopoulos, The fully differential decay rate of a Higgs boson to bottom-quarks at NNLO in QCD, JHEP 03 (2012) 035 [arXiv:1110.2368] [INSPIRE].ADSCrossRefMATHGoogle Scholar
  68. [68]
    V. Del Duca, C. Duhr, G. Somogyi, F. Tramontano and Z. Trócsányi, Higgs boson decay into b-quarks at NNLO accuracy, JHEP 04 (2015) 036 [arXiv:1501.07226] [INSPIRE].ADSCrossRefGoogle Scholar
  69. [69]
    S. Dulat et al., New parton distribution functions from a global analysis of quantum chromodynamics, Phys. Rev. D 93 (2016) 033006 [arXiv:1506.07443] [INSPIRE].ADSGoogle Scholar
  70. [70]
    C. Anastasiou, C. Duhr, F. Dulat, F. Herzog and B. Mistlberger, Higgs boson gluon-fusion production in QCD at three loops, Phys. Rev. Lett. 114 (2015) 212001 [arXiv:1503.06056] [INSPIRE].ADSCrossRefGoogle Scholar
  71. [71]
    C. Anastasiou et al., High precision determination of the gluon fusion Higgs boson cross-section at the LHC, JHEP 05 (2016) 058 [arXiv:1602.00695] [INSPIRE].ADSCrossRefGoogle Scholar
  72. [72]
    O. Brein, R.V. Harlander and T.J.E. Zirke, vh@nnlo — Higgs strahlung at hadron colliders, Comput. Phys. Commun. 184 (2013) 998 [arXiv:1210.5347] [INSPIRE].
  73. [73]
    S. Frixione and G. Ridolfi, Jet photoproduction at HERA, Nucl. Phys. B 507 (1997) 315 [hep-ph/9707345] [INSPIRE].
  74. [74]
    ATLAS collaboration, Study of (W/Z)H production and Higgs boson couplings using H →WW ∗ decays with the ATLAS detector, JHEP 08 (2015) 137 [arXiv:1506.06641] [INSPIRE].
  75. [75]
    K. Mimasu, V. Sanz and C. Williams, Higher order QCD predictions for associated Higgs production with anomalous couplings to gauge bosons, arXiv:1512.02572 [INSPIRE].
  76. [76]
    D. Maˆıtre and P. Mastrolia, S@M, a Mathematica implementation of the spinor-helicity formalism, Comput. Phys. Commun. 179 (2008) 501 [arXiv:0710.5559] [INSPIRE].ADSMathSciNetCrossRefMATHGoogle Scholar
  77. [77]
    L.J. Dixon, Calculating scattering amplitudes efficiently, in the proceedings QCD and beyond. Theoretical Advanced Study Institute in Elementary Particle Physics (TASI-95), June 4-30, Boulde U.S.A. (1995), hep-ph/9601359 [INSPIRE].
  78. [78]
    W.T. Giele and E.W.N. Glover, Higher order corrections to jet cross-sections in e + e − annihilation, Phys. Rev. D 46 (1992) 1980 [INSPIRE].ADSGoogle Scholar
  79. [79]
    Z. Bern, L.J. Dixon and D.A. Kosower, One loop amplitudes for e + e − to four partons, Nucl. Phys. B 513 (1998) 3 [hep-ph/9708239] [INSPIRE].
  80. [80]
    V.A. Smirnov, Asymptotic expansions in momenta and masses and calculation of Feynman diagrams, Mod. Phys. Lett. A 10 (1995) 1485 [hep-th/9412063] [INSPIRE].ADSCrossRefGoogle Scholar
  81. [81]
    R. Harlander, Asymptotic expansions: methods and applications, Acta Phys. Polon. B 30 (1999) 3443 [hep-ph/9910496] [INSPIRE].
  82. [82]
    R.K. Ellis and G. Zanderighi, Scalar one-loop integrals for QCD, JHEP 02 (2008) 002 [arXiv:0712.1851] [INSPIRE].ADSCrossRefGoogle Scholar

Copyright information

© The Author(s) 2016

Authors and Affiliations

  • John M. Campbell
    • 1
  • R. Keith Ellis
    • 2
  • Ciaran Williams
    • 3
  1. 1.Fermi National Accelerator LaboratoryBataviaU.S.A.
  2. 2.Institute for Particle Physics Phenomenology, Department of PhysicsDurham UniversityDurhamU.K.
  3. 3.Department of PhysicsUniversity at Buffalo, The State University of New YorkBuffaloU.S.A.

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