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\( W\;b\overline{b}j \) production at NLO with POWHEG+MiNLO

  • Gionata Luisoni
  • Carlo Oleari
  • Francesco Tramontano
Open Access
Regular Article - Theoretical Physics

Abstract

We present a next-to-leading order plus parton-shower event generator for the production of a W boson plus two bottom quarks and a jet at hadron colliders, implemented in the POWHEG BOX framework. Bottom-mass effects and spin correlations of the decay products of the W boson are fully taken into account. The code has been automatically generated using the two available interfaces to MadGraph4 and GoSam, the last one updated to a new version. We have applied the MiNLO prescription to our \( W\;b\overline{b}j \) calculation, obtaining a finite differential cross section also in the limit of vanishing jet transverse momentum. Furthermore, we have compared several key distributions for \( W\;b\overline{b}j \) production with those generated with a next-to-leading order plus parton-shower event generator for \( W\;b\overline{b} \) production, and studied their factorization- and renormalization-scale dependence. Finally, we have compared our results with recent experimental data from the ATLAS and CMS Collaborations.

Keywords

Monte Carlo Simulations NLO Computations 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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].ADSGoogle Scholar
  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].ADSGoogle Scholar
  3. [3]
    F. Maltoni, G. Ridolfi and M. Ubiali, b-initiated processes at the LHC: a reappraisal, JHEP 07 (2012) 022 [arXiv:1203.6393] [INSPIRE].ADSCrossRefGoogle Scholar
  4. [4]
    R.K. Ellis and S. Veseli, Strong radiative corrections to \( W\ b\overline{b} \) production in \( p\overline{p} \) collisions, Phys. Rev. D 60 (1999) 011501 [hep-ph/9810489] [INSPIRE].ADSGoogle Scholar
  5. [5]
    F. Febres Cordero, L. Reina and D. Wackeroth, NLO QCD corrections to W boson production with a massive b-quark jet pair at the Tevatron \( p\overline{p} \) collider, Phys. Rev. D 74 (2006) 034007 [hep-ph/0606102] [INSPIRE].ADSGoogle Scholar
  6. [6]
    F. Febres Cordero, L. Reina and D. Wackeroth, W- and Z-boson production with a massive bottom-quark pair at the Large Hadron Collider, Phys. Rev. D 80 (2009) 034015 [arXiv:0906.1923] [INSPIRE].ADSGoogle Scholar
  7. [7]
    S. Badger, J.M. Campbell and R.K. Ellis, QCD corrections to the hadronic production of a heavy quark pair and a W-boson including decay correlations, JHEP 03 (2011) 027 [arXiv:1011.6647] [INSPIRE].ADSCrossRefMATHGoogle Scholar
  8. [8]
    R. Frederix et al., W and Z/γ∗ boson production in association with a bottom-antibottom pair, JHEP 09 (2011) 061 [arXiv:1106.6019] [INSPIRE].ADSCrossRefGoogle Scholar
  9. [9]
    J.M. Campbell, R.K. Ellis, F. Maltoni and S. Willenbrock, Production of a W boson and two jets with one b quark tag, Phys. Rev. D 75 (2007) 054015 [hep-ph/0611348] [INSPIRE].ADSGoogle Scholar
  10. [10]
    J.M. Campbell et al., Associated Production of a W Boson and One b Jet, Phys. Rev. D 79 (2009) 034023 [arXiv:0809.3003] [INSPIRE].ADSGoogle Scholar
  11. [11]
    J.M. Campbell, F. Caola, F. Febres Cordero, L. Reina and D. Wackeroth, NLO QCD predictions for W + 1 jet and W + 2 jet production with at least one b jet at the 7 TeV LHC, Phys. Rev. D 86 (2012) 034021 [arXiv:1107.3714] [INSPIRE].ADSGoogle Scholar
  12. [12]
    C. Oleari and L. Reina, W +- \( b\overline{b} \) production in POWHEG, JHEP 08 (2011) 061 [arXiv:1105.4488] [INSPIRE].ADSCrossRefMATHGoogle Scholar
  13. [13]
    P. Nason, A New method for combining NLO QCD with shower Monte Carlo algorithms, JHEP 11 (2004) 040 [hep-ph/0409146] [INSPIRE].ADSCrossRefGoogle Scholar
  14. [14]
    S. Frixione, P. Nason and C. Oleari, Matching NLO QCD computations with Parton Shower simulations: the POWHEG method, JHEP 11 (2007) 070 [arXiv:0709.2092] [INSPIRE].ADSCrossRefGoogle Scholar
  15. [15]
    S. Alioli, P. Nason, C. Oleari and E. Re, A general framework for implementing NLO calculations in shower Monte Carlo programs: the POWHEG BOX, JHEP 06 (2010) 043 [arXiv:1002.2581] [INSPIRE].ADSCrossRefMATHGoogle Scholar
  16. [16]
    T. Stelzer and W.F. Long, Automatic generation of tree level helicity amplitudes, Comput. Phys. Commun. 81 (1994) 357 [hep-ph/9401258] [INSPIRE].ADSCrossRefGoogle Scholar
  17. [17]
    J. Alwall et al., MadGraph/MadEvent v4: The New Web Generation, JHEP 09 (2007) 028 [arXiv:0706.2334] [INSPIRE].ADSCrossRefGoogle Scholar
  18. [18]
    J.M. Campbell et al., NLO Higgs Boson Production Plus One and Two Jets Using the POWHEG BOX, MadGraph4 and MCFM, JHEP 07 (2012) 092 [arXiv:1202.5475] [INSPIRE].ADSCrossRefGoogle Scholar
  19. [19]
    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
  20. [20]
    G. Cullen et al., Automated One-Loop Calculations with GoSam, Eur. Phys. J. C 72 (2012) 1889 [arXiv:1111.2034] [INSPIRE].ADSCrossRefGoogle Scholar
  21. [21]
    G. Cullen et al., GOSAM-2.0: a tool for automated one-loop calculations within the Standard Model and beyond, Eur. Phys. J. C 74 (2014) 3001 [arXiv:1404.7096] [INSPIRE].ADSCrossRefGoogle Scholar
  22. [22]
    K. Hamilton, P. Nason and G. Zanderighi, MINLO: Multi-Scale Improved NLO, JHEP 10 (2012) 155 [arXiv:1206.3572] [INSPIRE].ADSCrossRefGoogle Scholar
  23. [23]
    P. Nogueira, Automatic Feynman graph generation, J. Comput. Phys. 105 (1993) 279 [INSPIRE].ADSMathSciNetCrossRefMATHGoogle Scholar
  24. [24]
    J. Kuipers, T. Ueda, J.A.M. Vermaseren and J. Vollinga, FORM version 4.0, Comput. Phys. Commun. 184 (2013) 1453 [arXiv:1203.6543] [INSPIRE].ADSCrossRefMATHGoogle Scholar
  25. [25]
    G. Cullen, M. Koch-Janusz and T. Reiter, Spinney: A Form Library for Helicity Spinors, Comput. Phys. Commun. 182 (2011) 2368 [arXiv:1008.0803] [INSPIRE].ADSCrossRefMATHGoogle Scholar
  26. [26]
    H. van Deurzen et al., Multi-leg One-loop Massive Amplitudes from Integrand Reduction via Laurent Expansion, JHEP 03 (2014) 115 [arXiv:1312.6678] [INSPIRE].ADSCrossRefGoogle Scholar
  27. [27]
    T. Peraro, Ninja: Automated Integrand Reduction via Laurent Expansion for One-Loop Amplitudes, Comput. Phys. Commun. 185 (2014) 2771 [arXiv:1403.1229] [INSPIRE].ADSCrossRefMATHGoogle Scholar
  28. [28]
    P. Mastrolia, E. Mirabella and T. Peraro, Integrand reduction of one-loop scattering amplitudes through Laurent series expansion, JHEP 06 (2012) 095 [arXiv:1203.0291] [INSPIRE].ADSMathSciNetCrossRefGoogle Scholar
  29. [29]
    A. van Hameren, OneLOop: For the evaluation of one-loop scalar functions, Comput. Phys. Commun. 182 (2011) 2427 [arXiv:1007.4716] [INSPIRE].ADSCrossRefMATHGoogle Scholar
  30. [30]
    G. Cullen et al., Golem95C: A library for one-loop integrals with complex masses, Comput. Phys. Commun. 182 (2011) 2276 [arXiv:1101.5595] [INSPIRE].ADSMathSciNetCrossRefMATHGoogle Scholar
  31. [31]
    G. Ossola, C.G. Papadopoulos and R. Pittau, Reducing full one-loop amplitudes to scalar integrals at the integrand level, Nucl. Phys. B 763 (2007) 147 [hep-ph/0609007] [INSPIRE].ADSMathSciNetCrossRefMATHGoogle Scholar
  32. [32]
    R.K. Ellis, W.T. Giele and Z. Kunszt, A Numerical Unitarity Formalism for Evaluating One-Loop Amplitudes, JHEP 03 (2008) 003 [arXiv:0708.2398] [INSPIRE].ADSMathSciNetCrossRefGoogle Scholar
  33. [33]
    P. Mastrolia, G. Ossola, T. Reiter and F. Tramontano, Scattering AMplitudes from Unitarity-based Reduction Algorithm at the Integrand-level, JHEP 08 (2010) 080 [arXiv:1006.0710] [INSPIRE].ADSCrossRefMATHGoogle Scholar
  34. [34]
    L. Reina and T. Schutzmeier, Towards \( W\ b\overline{b}+j \) at NLO with an Automatized Approach to One-Loop Computations, JHEP 09 (2012) 119 [arXiv:1110.4438] [INSPIRE].ADSMathSciNetCrossRefGoogle Scholar
  35. [35]
    J. Alwall et al., The automated computation of tree-level and next-to-leading order differential cross sections and their matching to parton shower simulations, JHEP 07 (2014) 079 [arXiv:1405.0301] [INSPIRE].ADSCrossRefGoogle Scholar
  36. [36]
    J.C. Collins, F. Wilczek and A. Zee, Low-Energy Manifestations of Heavy Particles: Application to the Neutral Current, Phys. Rev. D 18 (1978) 242 [INSPIRE].ADSGoogle Scholar
  37. [37]
    M. Cacciari, M. Greco and P. Nason, The p T spectrum in heavy flavor hadroproduction, JHEP 05 (1998) 007 [hep-ph/9803400] [INSPIRE].ADSCrossRefGoogle Scholar
  38. [38]
    K. Hamilton, P. Nason, C. Oleari and G. Zanderighi, Merging H/W/Z + 0 and 1 jet at NLO with no merging scale: a path to parton shower + NNLO matching, JHEP 05 (2013) 082 [arXiv:1212.4504] [INSPIRE].ADSCrossRefGoogle Scholar
  39. [39]
    J.M. Campbell, R.K. Ellis, P. Nason and G. Zanderighi, W and Z bosons in association with two jets using the POWHEG method, JHEP 08 (2013) 005 [arXiv:1303.5447] [INSPIRE].ADSCrossRefGoogle Scholar
  40. [40]
    A. Kardos, P. Nason and C. Oleari, Three-jet production in POWHEG, JHEP 04 (2014) 043 [arXiv:1402.4001] [INSPIRE].ADSCrossRefGoogle Scholar
  41. [41]
    L. Barze et al., Wγ production in hadronic collisions using the POWHEG+MiNLO method, JHEP 12 (2014) 039 [arXiv:1408.5766] [INSPIRE].ADSCrossRefGoogle Scholar
  42. [42]
    M. Grazzini, NNLO predictions for the Higgs boson signal in the HW Wlνlν and HZZ →4l decay channels, JHEP 02(2008) 043[arXiv:0801.3232][INSPIRE].ADSCrossRefGoogle Scholar
  43. [43]
    S. Catani, L. Cieri, G. Ferrera, D. de Florian and M. Grazzini, Vector boson production at hadron colliders: a fully exclusive QCD calculation at NNLO, Phys. Rev. Lett. 103 (2009) 082001 [arXiv:0903.2120] [INSPIRE].ADSCrossRefGoogle Scholar
  44. [44]
    K. Hamilton, P. Nason, E. Re and G. Zanderighi, NNLOPS simulation of Higgs boson production, JHEP 10 (2013) 222 [arXiv:1309.0017] [INSPIRE].ADSCrossRefGoogle Scholar
  45. [45]
    K. Hamilton, P. Nason and G. Zanderighi, Finite quark-mass effects in the NNLOPS POWHEG+MiNLO Higgs generator, arXiv:1501.0463 [INSPIRE].
  46. [46]
    A. Karlberg, E. Re and G. Zanderighi, NNLOPS accurate Drell-Yan production, JHEP 09 (2014) 134 [arXiv:1407.2940] [INSPIRE].ADSCrossRefGoogle Scholar
  47. [47]
    A.D. Martin, W.J. Stirling, R.S. Thorne and G. Watt, Parton distributions for the LHC, Eur. Phys. J. C 63 (2009) 189 [arXiv:0901.0002] [INSPIRE].ADSCrossRefMATHGoogle Scholar
  48. [48]
    M. Cacciari, G.P. Salam and G. Soyez, The anti-k T jet clustering algorithm, JHEP 04 (2008) 063 [arXiv:0802.1189] [INSPIRE].ADSCrossRefMATHGoogle Scholar
  49. [49]
    M. Cacciari and G.P. Salam, Dispelling the N 3 myth for the k t jet-finder, Phys. Lett. B 641 (2006) 57 [hep-ph/0512210] [INSPIRE].ADSCrossRefGoogle Scholar
  50. [50]
    M. Cacciari, G.P. Salam and G. Soyez, FastJet User Manual, Eur. Phys. J. C 72 (2012) 1896 [arXiv:1111.6097] [INSPIRE].ADSCrossRefGoogle Scholar
  51. [51]
    T. Sjöstrand, S. Mrenna and P.Z. Skands, PYTHIA 6.4 Physics and Manual, JHEP 05 (2006) 026 [hep-ph/0603175] [INSPIRE].ADSCrossRefMATHGoogle Scholar
  52. [52]
    G. Corcella et al., HERWIG 6: An Event generator for hadron emission reactions with interfering gluons (including supersymmetric processes), JHEP 01 (2001) 010 [hep-ph/0011363] [INSPIRE].ADSCrossRefGoogle Scholar
  53. [53]
    G. Corcella et al., HERWIG 6.5 release note, hep-ph/0210213 [INSPIRE].
  54. [54]
    CMS collaboration, Measurement of the production cross section for a W boson and two b jets in pp collisions at \( \sqrt{s}=7 \) TeV, Phys. Lett. B 735 (2014) 204 [arXiv:1312.6608] [INSPIRE].ADSGoogle Scholar
  55. [55]
    ATLAS collaboration, Measurement of the cross-section for W boson production in association with b-jets in pp collisions at \( \sqrt{s} \) = 7 TeV with the ATLAS detector, JHEP 06 (2013) 084 [arXiv:1302.2929] [INSPIRE].ADSGoogle Scholar
  56. [56]
  57. [57]
    T. Appelquist and J. Carazzone, Infrared Singularities and Massive Fields, Phys. Rev. D 11 (1975) 2856 [INSPIRE].ADSGoogle Scholar
  58. [58]
    J.C. Collins and W.-K. Tung, Calculating Heavy Quark Distributions, Nucl. Phys. B 278 (1986) 934 [INSPIRE].ADSCrossRefGoogle Scholar

Copyright information

© The Author(s) 2015

Authors and Affiliations

  • Gionata Luisoni
    • 1
  • Carlo Oleari
    • 2
  • Francesco Tramontano
    • 3
  1. 1.Max-Planck Institut für PhysikMunichGermany
  2. 2.Università di Milano-Bicocca and INFNMilanoItaly
  3. 3.Università di Napoli “Federico II” and INFN, Sezione di NapoliNapoliItaly

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