Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
Skip to main content
Springer Nature Link
Account
Menu
Find a journal Publish with us Track your research
Search
Cart
  1. Home
  2. Journal of High Energy Physics
  3. Article

Effective multi-Higgs couplings to gluons

  • Regular Article - Theoretical Physics
  • Open access
  • Published: 06 October 2016
  • Volume 2016, article number 26, (2016)
  • Cite this article
Download PDF

You have full access to this open access article

Journal of High Energy Physics Aims and scope Submit manuscript
Effective multi-Higgs couplings to gluons
Download PDF
  • Michael Spira1 

  • 449 Accesses

  • 35 Citations

  • 2 Altmetric

  • Explore all metrics

A preprint version of the article is available at arXiv.

Abstract

Standard-Model Higgs bosons are dominantly produced via the gluon-fusion mechanism gg → H at the LHC, i.e. in a loop-mediated process with top loops providing the dominant contribution. For the measured Higgs boson mass of ∼ 125 GeV the limit of heavy top quarks provides a reliable approximation as long as the relative QCD corrections are scaled with the full mass-dependent LO cross section. In this limit the Higgs coupling to gluons can be described by an effective Lagrangian. The same approach can also be applied to the coupling of more than one Higgs boson to gluons. We will derive the effective Lagrangian for multi-Higgs couplings to gluons up to N4LO thus extending previous results for more than one Higgs boson. Moreover we discuss gluonic Higgs couplings up to NNLO, if several heavy quarks contribute.

Article PDF

Download to read the full article text

Similar content being viewed by others

On Higgs boson plus gluon amplitudes at one loop

Article Open access 05 November 2018

Wilson coefficients for Higgs boson production and decoupling relations to \( \mathcal{O}\left({\alpha}_s^4\right) \)

Article Open access 22 November 2018

Quark mass effects in two-loop Higgs amplitudes

Article Open access 17 July 2020
Use our pre-submission checklist

Avoid common mistakes on your manuscript.

References

  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. 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. ATLAS, CMS collaborations, Measurements of the Higgs boson production and decay rates and constraints on its couplings from a combined ATLAS and CMS analysis of the LHC pp collision data at \( \sqrt{s}=7 \) and 8 TeV, JHEP 08 (2016) 045 [arXiv:1606.02266] [INSPIRE].

  4. P.W. Higgs, Broken symmetries, massless particles and gauge fields, Phys. Lett. 12 (1964) 132 [INSPIRE].

    Article  ADS  Google Scholar 

  5. P.W. Higgs, Broken Symmetries and the Masses of Gauge Bosons, Phys. Rev. Lett. 13 (1964) 508 [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  6. P.W. Higgs, Spontaneous Symmetry Breakdown without Massless Bosons, Phys. Rev. 145 (1966) 1156 [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  7. F. Englert and R. Brout, Broken Symmetry and the Mass of Gauge Vector Mesons, Phys. Rev. Lett. 13 (1964) 321 [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  8. G.S. Guralnik, C.R. Hagen and T.W.B. Kibble, Global Conservation Laws and Massless Particles, Phys. Rev. Lett. 13 (1964) 585 [INSPIRE].

    Article  ADS  Google Scholar 

  9. G. ’t Hooft, Renormalizable Lagrangians for Massive Yang-Mills Fields, Nucl. Phys. B 35 (1971) 167 [INSPIRE].

  10. G. ’t Hooft and M.J.G. Veltman, Regularization and Renormalization of Gauge Fields, Nucl. Phys. B 44 (1972) 189 [INSPIRE].

  11. H.M. Georgi, S.L. Glashow, M.E. Machacek and D.V. Nanopoulos, Higgs Bosons from Two Gluon Annihilation in Proton Proton Collisions, Phys. Rev. Lett. 40 (1978) 692 [INSPIRE].

    Article  ADS  Google Scholar 

  12. A. Djouadi, M. Spira and P.M. Zerwas, Production of Higgs bosons in proton colliders: QCD corrections, Phys. Lett. B 264 (1991) 440 [INSPIRE].

    Article  ADS  Google Scholar 

  13. S. Dawson, Radiative corrections to Higgs boson production, Nucl. Phys. B 359 (1991) 283 [INSPIRE].

    Article  ADS  Google Scholar 

  14. S. Dawson and R. Kauffman, QCD corrections to Higgs boson production: nonleading terms in the heavy quark limit, Phys. Rev. D 49 (1994) 2298 [hep-ph/9310281] [INSPIRE].

  15. R.V. Harlander and W.B. Kilgore, Soft and virtual corrections to pp → H + X at NNLO, Phys. Rev. D 64 (2001) 013015 [hep-ph/0102241] [INSPIRE].

  16. R.V. Harlander and W.B. Kilgore, Next-to-next-to-leading order Higgs production at hadron colliders, Phys. Rev. Lett. 88 (2002) 201801 [hep-ph/0201206] [INSPIRE].

  17. C. Anastasiou and K. Melnikov, Higgs boson production at hadron colliders in NNLO QCD, Nucl. Phys. B 646 (2002) 220 [hep-ph/0207004] [INSPIRE].

  18. V. Ravindran, J. Smith and W.L. van Neerven, NNLO corrections to the total cross-section for Higgs boson production in hadron hadron collisions, Nucl. Phys. B 665 (2003) 325 [hep-ph/0302135] [INSPIRE].

  19. S. Marzani, R.D. Ball, V. Del Duca, S. Forte and A. Vicini, Higgs production via gluon-gluon fusion with finite top mass beyond next-to-leading order, Nucl. Phys. B 800 (2008) 127 [arXiv:0801.2544] [INSPIRE].

    Article  ADS  Google Scholar 

  20. T. Gehrmann, M. Jaquier, E.W.N. Glover and A. Koukoutsakis, Two-Loop QCD Corrections to the Helicity Amplitudes for H → 3 partons, JHEP 02 (2012) 056 [arXiv:1112.3554] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  21. C. Anastasiou, C. Duhr, F. Dulat and B. Mistlberger, Soft triple-real radiation for Higgs production at N3LO, JHEP 07 (2013) 003 [arXiv:1302.4379] [INSPIRE].

    Article  ADS  Google Scholar 

  22. C. Anastasiou, C. Duhr, F. Dulat, F. Herzog and B. Mistlberger, Real-virtual contributions to the inclusive Higgs cross-section at N 3 LO, JHEP 12 (2013) 088 [arXiv:1311.1425] [INSPIRE].

    Article  ADS  Google Scholar 

  23. W.B. Kilgore, One-loop single-real-emission contributions to pp → H + X at next-to-next-to-next-to-leading order, Phys. Rev. D 89 (2014) 073008 [arXiv:1312.1296] [INSPIRE].

    ADS  Google Scholar 

  24. Y. Li, A. von Manteuffel, R.M. Schabinger and H.X. Zhu, Soft-virtual corrections to Higgs production at N 3 LO, Phys. Rev. D 91 (2015) 036008 [arXiv:1412.2771] [INSPIRE].

    ADS  Google Scholar 

  25. C. Anastasiou et al., Higgs boson gluon-fusion production beyond threshold in N 3 LO QCD, JHEP 03 (2015) 091 [arXiv:1411.3584] [INSPIRE].

    Article  Google Scholar 

  26. 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].

    Article  ADS  Google Scholar 

  27. 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].

    Article  ADS  Google Scholar 

  28. M. Spira, A. Djouadi, D. Graudenz and P.M. Zerwas, Higgs boson production at the LHC, Nucl. Phys. B 453 (1995) 17 [hep-ph/9504378] [INSPIRE].

  29. D. Graudenz, M. Spira and P.M. Zerwas, QCD corrections to Higgs boson production at proton proton colliders, Phys. Rev. Lett. 70 (1993) 1372 [INSPIRE].

    Article  ADS  Google Scholar 

  30. R. Harlander and P. Kant, Higgs production and decay: Analytic results at next-to-leading order QCD, JHEP 12 (2005) 015 [hep-ph/0509189] [INSPIRE].

  31. C. Anastasiou, S. Bucherer and Z. Kunszt, HPro: A NLO Monte-Carlo for Higgs production via gluon fusion with finite heavy quark masses, JHEP 10 (2009) 068 [arXiv:0907.2362] [INSPIRE].

    Article  ADS  Google Scholar 

  32. R.V. Harlander and K.J. Ozeren, Top mass effects in Higgs production at next-to-next-to-leading order QCD: Virtual corrections, Phys. Lett. B 679 (2009) 467 [arXiv:0907.2997] [INSPIRE].

    Article  ADS  Google Scholar 

  33. R.V. Harlander and K.J. Ozeren, Finite top mass effects for hadronic Higgs production at next-to-next-to-leading order, JHEP 11 (2009) 088 [arXiv:0909.3420] [INSPIRE].

    Article  ADS  Google Scholar 

  34. A. Pak, M. Rogal and M. Steinhauser, Virtual three-loop corrections to Higgs boson production in gluon fusion for finite top quark mass, Phys. Lett. B 679 (2009) 473 [arXiv:0907.2998] [INSPIRE].

    Article  ADS  Google Scholar 

  35. A. Pak, M. Rogal and M. Steinhauser, Finite top quark mass effects in NNLO Higgs boson production at LHC, JHEP 02 (2010) 025 [arXiv:0911.4662] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  36. R. Mueller and D.G. Öztürk, On the computation of finite bottom-quark mass effects in Higgs boson production, JHEP 08 (2016) 055 [arXiv:1512.08570] [INSPIRE].

    Article  ADS  Google Scholar 

  37. M. Krämer, E. Laenen and M. Spira, Soft gluon radiation in Higgs boson production at the LHC, Nucl. Phys. B 511 (1998) 523 [hep-ph/9611272] [INSPIRE].

  38. M. Spira, QCD effects in Higgs physics, Fortsch. Phys. 46 (1998) 203 [hep-ph/9705337] [INSPIRE].

  39. S. Catani, D. de Florian, M. Grazzini and P. Nason, Soft gluon resummation for Higgs boson production at hadron colliders, JHEP 07 (2003) 028 [hep-ph/0306211] [INSPIRE].

  40. S. Moch and A. Vogt, Higher-order soft corrections to lepton pair and Higgs boson production, Phys. Lett. B 631 (2005) 48 [hep-ph/0508265] [INSPIRE].

  41. V. Ravindran, On Sudakov and soft resummations in QCD, Nucl. Phys. B 746 (2006) 58 [hep-ph/0512249] [INSPIRE].

  42. V. Ravindran, Higher-order threshold effects to inclusive processes in QCD, Nucl. Phys. B 752 (2006) 173 [hep-ph/0603041] [INSPIRE].

  43. A. Idilbi, X.-d. Ji, J.-P. Ma and F. Yuan, Threshold resummation for Higgs production in effective field theory, Phys. Rev. D 73 (2006) 077501 [hep-ph/0509294] [INSPIRE].

  44. V. Ahrens, T. Becher, M. Neubert and L.L. Yang, Renormalization-Group Improved Prediction for Higgs Production at Hadron Colliders, Eur. Phys. J. C 62 (2009) 333 [arXiv:0809.4283] [INSPIRE].

    Article  ADS  Google Scholar 

  45. D. de Florian and M. Grazzini, Higgs production through gluon fusion: Updated cross sections at the Tevatron and the LHC, Phys. Lett. B 674 (2009) 291 [arXiv:0901.2427] [INSPIRE].

    Article  ADS  Google Scholar 

  46. D. de Florian, J. Mazzitelli, S. Moch and A. Vogt, Approximate N 3 LO Higgs-boson production cross section using physical-kernel constraints, JHEP 10 (2014) 176 [arXiv:1408.6277] [INSPIRE].

    Article  ADS  Google Scholar 

  47. S. Catani, L. Cieri, D. de Florian, G. Ferrera and M. Grazzini, Threshold resummation at N 3 LL accuracy and soft-virtual cross sections at N 3 LO, Nucl. Phys. B 888 (2014) 75 [arXiv:1405.4827] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  48. M. Bonvini and L. Rottoli, Three loop soft function for N 3 LL ′ gluon fusion Higgs production in soft-collinear effective theory, Phys. Rev. D 91 (2015) 051301 [arXiv:1412.3791] [INSPIRE].

    ADS  Google Scholar 

  49. D. de Florian and M. Grazzini, Higgs production at the LHC: updated cross sections at \( \sqrt{s}=8 \) TeV, Phys. Lett. B 718 (2012) 117[arXiv:1206.4133] [INSPIRE].

    Article  ADS  Google Scholar 

  50. M. Bonvini and S. Marzani, Resummed Higgs cross section at N 3 LL, JHEP 09 (2014) 007 [arXiv:1405.3654] [INSPIRE].

    Article  ADS  Google Scholar 

  51. T. Schmidt and M. Spira, Higgs Boson Production via Gluon Fusion: Soft-Gluon Resummation including Mass Effects, Phys. Rev. D 93 (2016) 014022 [arXiv:1509.00195] [INSPIRE].

    ADS  Google Scholar 

  52. J.R. Ellis, M.K. Gaillard and D.V. Nanopoulos, A Phenomenological Profile of the Higgs Boson, Nucl. Phys. B 106 (1976) 292 [INSPIRE].

    Article  ADS  Google Scholar 

  53. M.A. Shifman, A.I. Vainshtein, M.B. Voloshin and V.I. Zakharov, Low-Energy Theorems for Higgs Boson Couplings to Photons, Sov. J. Nucl. Phys. 30 (1979) 711 [INSPIRE].

    Google Scholar 

  54. B.A. Kniehl and M. Spira, Low-energy theorems in Higgs physics, Z. Phys. C 69 (1995) 77 [hep-ph/9505225] [INSPIRE].

  55. S. Dawson, S. Dittmaier and M. Spira, Neutral Higgs boson pair production at hadron colliders: QCD corrections, Phys. Rev. D 58 (1998) 115012 [hep-ph/9805244] [INSPIRE].

  56. D. de Florian and J. Mazzitelli, Two-loop virtual corrections to Higgs pair production, Phys. Lett. B 724 (2013) 306 [arXiv:1305.5206] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  57. D. de Florian and J. Mazzitelli, Higgs Boson Pair Production at Next-to-Next-to-Leading Order in QCD, Phys. Rev. Lett. 111 (2013) 201801 [arXiv:1309.6594] [INSPIRE].

    Article  ADS  Google Scholar 

  58. J. Grigo, K. Melnikov and M. Steinhauser, Virtual corrections to Higgs boson pair production in the large top quark mass limit, Nucl. Phys. B 888 (2014) 17 [arXiv:1408.2422] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  59. D.Y. Shao, C.S. Li, H.T. Li and J. Wang, Threshold resummation effects in Higgs boson pair production at the LHC, JHEP 07 (2013) 169 [arXiv:1301.1245] [INSPIRE].

    Article  ADS  Google Scholar 

  60. D. de Florian and J. Mazzitelli, Higgs pair production at next-to-next-to-leading logarithmic accuracy at the LHC, JHEP 09 (2015) 053 [arXiv:1505.07122] [INSPIRE].

    Article  Google Scholar 

  61. S. Borowka et al., Higgs Boson Pair Production in Gluon Fusion at Next-to-Leading Order with Full Top-Quark Mass Dependence, Phys. Rev. Lett. 117 (2016) 012001 [Erratum ibid. 117 (2016) 079901] [arXiv:1604.06447] [INSPIRE].

  62. S. Borowka et al., Full top quark mass dependence in Higgs boson pair production at NLO, arXiv:1608.04798 [INSPIRE].

  63. J. Grigo, J. Hoff, K. Melnikov and M. Steinhauser, On the Higgs boson pair production at the LHC, Nucl. Phys. B 875 (2013) 1 [arXiv:1305.7340] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  64. R. Frederix et al., Higgs pair production at the LHC with NLO and parton-shower effects, Phys. Lett. B 732 (2014) 142 [arXiv:1401.7340] [INSPIRE].

    Article  ADS  Google Scholar 

  65. F. Maltoni, E. Vryonidou and M. Zaro, Top-quark mass effects in double and triple Higgs production in gluon-gluon fusion at NLO, JHEP 11 (2014) 079 [arXiv:1408.6542] [INSPIRE].

    Article  ADS  Google Scholar 

  66. W. Bernreuther and W. Wetzel, Decoupling of Heavy Quarks in the Minimal Subtraction Scheme, Nucl. Phys. B 197 (1982) 228 [Erratum ibid. B 513 (1998) 758] [INSPIRE].

  67. K.G. Chetyrkin, B.A. Kniehl and M. Steinhauser, Decoupling relations to O(α 3 s ) and their connection to low-energy theorems, Nucl. Phys. B 510 (1998) 61 [hep-ph/9708255] [INSPIRE].

  68. Y. Schröder and M. Steinhauser, Four-loop decoupling relations for the strong coupling, JHEP 01 (2006) 051 [hep-ph/0512058] [INSPIRE].

  69. K.G. Chetyrkin, J.H. Kuhn and C. Sturm, QCD decoupling at four loops, Nucl. Phys. B 744 (2006) 121 [hep-ph/0512060] [INSPIRE].

  70. Y. Schröder and A. Vuorinen, High-precision ϵ-expansions of single-mass-scale four-loop vacuum bubbles, JHEP 06 (2005) 051 [hep-ph/0503209] [INSPIRE].

  71. P.A. Baikov, K.G. Chetyrkin and J.H. Kühn, Five-Loop Running of the QCD coupling constant, arXiv:1606.08659 [INSPIRE].

  72. T. Luthe, A. Maier, P. Marquard and Y. Schröder, Towards the five-loop β-function for a general gauge group, JHEP 07 (2016) 127 [arXiv:1606.08662] [INSPIRE].

    Article  ADS  Google Scholar 

  73. N. Gray, D.J. Broadhurst, W. Grafe and K. Schilcher, Three Loop Relation of Quark (Modified) Ms and Pole Masses, Z. Phys. C 48 (1990) 673 [INSPIRE].

    ADS  Google Scholar 

  74. K.G. Chetyrkin and M. Steinhauser, Short distance mass of a heavy quark at order α 3 s , Phys. Rev. Lett. 83 (1999) 4001 [hep-ph/9907509] [INSPIRE].

  75. K.G. Chetyrkin and M. Steinhauser, The relation between the MS-bar and the on-shell quark mass at order α 3 s , Nucl. Phys. B 573 (2000) 617 [hep-ph/9911434] [INSPIRE].

  76. K. Melnikov and T.v. Ritbergen, The three loop relation between the MS-bar and the pole quark masses, Phys. Lett. B 482 (2000) 99 [hep-ph/9912391] [INSPIRE].

  77. P. Marquard, A.V. Smirnov, V.A. Smirnov and M. Steinhauser, Quark Mass Relations to Four-Loop Order in Perturbative QCD, Phys. Rev. Lett. 114 (2015) 142002 [arXiv:1502.01030] [INSPIRE].

    Article  ADS  Google Scholar 

  78. A.L. Kataev and V.S. Molokoedov, On the flavour dependence of the \( \mathcal{O}\left({\alpha}_s^4\right) \) correction to the relation between running and pole heavy quark masses, Eur. Phys. J. Plus 131 (2016) 271 [arXiv:1511.06898] [INSPIRE].

    Article  Google Scholar 

  79. T. Inami, T. Kubota and Y. Okada, Effective Gauge Theory and the Effect of Heavy Quarks in Higgs Boson Decays, Z. Phys. C 18 (1983) 69 [INSPIRE].

    ADS  Google Scholar 

  80. K.G. Chetyrkin, B.A. Kniehl and M. Steinhauser, Hadronic Higgs decay to order α 4 s , Phys. Rev. Lett. 79 (1997) 353 [hep-ph/9705240] [INSPIRE].

  81. A.G. Grozin et al., Simultaneous decoupling of bottom and charm quarks, JHEP 09 (2011) 066 [arXiv:1107.5970] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  82. C. Anastasiou, R. Boughezal and E. Furlan, The NNLO gluon fusion Higgs production cross-section with many heavy quarks, JHEP 06 (2010) 101 [arXiv:1003.4677] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

Download references

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.

Author information

Authors and Affiliations

  1. Paul Scherrer Institut, CH-5232, Villigen PSI, Switzerland

    Michael Spira

Authors
  1. Michael Spira
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Michael Spira.

Additional information

ArXiv ePrint: 1607.05548

Rights and permissions

Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Spira, M. Effective multi-Higgs couplings to gluons. J. High Energ. Phys. 2016, 26 (2016). https://doi.org/10.1007/JHEP10(2016)026

Download citation

  • Received: 27 July 2016

  • Accepted: 02 October 2016

  • Published: 06 October 2016

  • DOI: https://doi.org/10.1007/JHEP10(2016)026

Share this article

Anyone you share the following link with will be able to read this content:

Sorry, a shareable link is not currently available for this article.

Provided by the Springer Nature SharedIt content-sharing initiative

Keywords

  • NLO Computations
Use our pre-submission checklist

Avoid common mistakes on your manuscript.

Advertisement

Search

Navigation

  • Find a journal
  • Publish with us
  • Track your research

Discover content

  • Journals A-Z
  • Books A-Z

Publish with us

  • Journal finder
  • Publish your research
  • Open access publishing

Products and services

  • Our products
  • Librarians
  • Societies
  • Partners and advertisers

Our imprints

  • Springer
  • Nature Portfolio
  • BMC
  • Palgrave Macmillan
  • Apress
  • Your US state privacy rights
  • Accessibility statement
  • Terms and conditions
  • Privacy policy
  • Help and support
  • Cancel contracts here

Not affiliated

Springer Nature

© 2024 Springer Nature