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Transverse-momentum resummation: Higgs boson production at the Tevatron and the LHC

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Abstract

We consider the transverse-momentum (qT ) distribution of Standard Model Higgs bosons produced by gluon fusion in hadron collisions. At small qT (qT ≪ mH , mH being the mass of the Higgs boson), we resum the logarithmically-enhanced contributions due to multiple soft-gluon emission to all order in QCD perturbation theory. At interme-diate and large values of qT (qT < mH), we consistently combine resummation with the known fixed-order results. We use the most advanced perturbative information that is available at present: next-to-next-to-leading logarithmic resummation combined with the next-to-leading fixed-order calculation. We extend previous results including exactly all the perturbative terms up to order αS in our computation and, after integration over qT, we recover the known next-to-next-to-leading order result for the total cross section. We present numerical results at the Tevatron and the LHC, together with an estimate of the corresponding uncertainties. Our calculation is implemented in an updated version of the numerical code HqT.

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References

  1. LEP Working Group for Higgs boson searches, ALEPH, DELPHI, L3, OPAL collaboration, R. Barate et al., Search for the standard model Higgs boson at LEP, Phys. Lett. B 565 (2003) 61 [hep-ex/0306033] [INSPIRE].

    ADS  Google Scholar 

  2. CDF and D0 collaboration, Combined CDF and D0 upper limits on standard model Higgs boson production with up to 8.6 fb −1 of data, arXiv:1107.5518 [INSPIRE].

  3. ATLAS collaboration, Combination of the searches for the Higgs boson in ~1 fb −1 of data taken with the ATLAS detector at 7 TeV center-of-mass energy, ATLAS-CONF-2011-112 (2011).

  4. CMS collaboration, SM Higgs combination, CMS-HIG-11-011 (2011).

  5. ATLAS collaboration, Update of the combination of Higgs boson searches in pp collisions at sqrt(s) = 7 TeV with the ATLAS Experiment at the LHC, ATLAS-CONF-2011-135 (2011).

  6. CMS collaboration, Combination of Higgs Searches, PAS-HIG-11-022 (2011).

  7. C. Anastasiou, R. Boughezal and F. Petriello, Mixed QCD-electroweak corrections to Higgs boson production in gluon fusion, JHEP 04 (2009) 003 [arXiv:0811.3458] [INSPIRE].

    Article  ADS  Google Scholar 

  8. 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 

  9. 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].

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  11. 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].

    Article  ADS  Google Scholar 

  12. 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].

    Article  ADS  Google Scholar 

  13. U. Aglietti, R. Bonciani, G. Degrassi and A. Vicini, Two loop light fermion contribution to Higgs production and decays, Phys. Lett. B 595 (2004) 432 [hep-ph/0404071] [INSPIRE].

    ADS  Google Scholar 

  14. G. Degrassi and F. Maltoni, Two-loop electroweak corrections to Higgs production at hadron colliders, Phys. Lett. B 600 (2004) 255 [hep-ph/0407249] [INSPIRE].

    ADS  Google Scholar 

  15. U. Aglietti, R. Bonciani, G. Degrassi and A. Vicini, Two-loop electroweak corrections to Higgs production in proton-proton collisions, hep-ph/0610033 [INSPIRE].

  16. S. Actis, G. Passarino, C. Sturm and S. Uccirati, NLO electroweak corrections to Higgs boson production at hadron colliders, Phys. Lett. B 670 (2008) 12 [arXiv:0809.1301] [INSPIRE].

    Article  ADS  Google Scholar 

  17. S. Actis, G. Passarino, C. Sturm and S. Uccirati, NNLO computational techniques: the cases H →γγ and H →gg, Nucl. Phys. B 811(2009)182 [arXiv:0809.3667] [INSPIRE].

  18. LHC Higgs Cross Section Working Group collaboration, S. Dittmaier et al., Handbook of LHC Higgs Cross Sections: 1. Inclusive Observables, arXiv:1101.0593 [INSPIRE].

  19. D. de Florian, M. Grazzini and Z. Kunszt, Higgs production with large transverse momentum in hadronic collisions at next-to-leading order, Phys. Rev. Lett. 82 (1999) 5209 [hep-ph/9902483] [INSPIRE].

    Article  ADS  Google Scholar 

  20. V. Ravindran, J. Smith and W. Van Neerven, Next-to-leading order QCD corrections to differential distributions of Higgs boson production in hadron hadron collisions, Nucl. Phys. B 634 (2002) 247 [hep-ph/0201114] [INSPIRE].

    Article  ADS  Google Scholar 

  21. C.J. Glosser and C.R. Schmidt, Next-to-leading corrections to the Higgs boson transverse momentum spectrum in gluon fusion, JHEP 12 (2002) 016 [hep-ph/0209248] [INSPIRE].

    Article  ADS  Google Scholar 

  22. D. de Florian, A. Kulesza and W. Vogelsang, Threshold resummation for high-transverse-momentum Higgs production at the LHC, JHEP 02 (2006) 047 [hep-ph/0511205] [INSPIRE].

    Article  Google Scholar 

  23. Y.L. Dokshitzer, D. Diakonov and S. Troian, On the transverse momentum distribution of massive lepton pairs, Phys. Lett. B 79 (1978) 269 [INSPIRE].

    ADS  Google Scholar 

  24. Y.L. Dokshitzer, D. Diakonov and S. Troian, Hard processes in quantum chromodynamics, Phys. Rept. 58 (1980) 269 [INSPIRE].

    Article  ADS  Google Scholar 

  25. G. Parisi and R. Petronzio, Small transverse momentum distributions in hard processes, Nucl. Phys. B 154 (1979) 427 [INSPIRE].

    Article  ADS  Google Scholar 

  26. G. Curci, M. Greco and Y. Srivastava, QCD jets from coherent states, Nucl. Phys. B 159 (1979) 451 [INSPIRE].

    Article  ADS  Google Scholar 

  27. J.C. Collins and D.E. Soper, Back-to-back jets in QCD, Nucl. Phys. B 193 (1981) 381 [Erratum ibid. B 213 (1983) 545] [INSPIRE].

    Article  ADS  Google Scholar 

  28. J.C. Collins and D.E. Soper, Back-to-back jets: Fourier transform from B to K-transverse, Nucl. Phys. B 197 (1982) 446 [INSPIRE].

    Article  ADS  Google Scholar 

  29. 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].

    Article  ADS  Google Scholar 

  30. J. Kodaira and L. Trentadue, Summing soft emission in QCD, Phys. Lett. B 112 (1982) 66 [INSPIRE].

    ADS  Google Scholar 

  31. J. Kodaira and L. Trentadue, Soft gluon effects in perturbative quantum chromodynamics, SLAC-PUB-2934 (1982) [INSPIRE].

  32. J. Kodaira and L. Trentadue, Single logarithm effects in electron-positron annihilation, Phys. Lett. B 123 (1983) 335 [INSPIRE].

    Article  ADS  Google Scholar 

  33. S. Catani, E. D’Emilio and L. Trentadue, The gluon form-factor to higher orders: gluon gluon annihilation at small Q-transverse, Phys. Lett. B 211 (1988) 335 [INSPIRE].

    Article  ADS  Google Scholar 

  34. S. Catani, D. de Florian and M. Grazzini, Universality of nonleading logarithmic contributions in transverse momentum distributions, Nucl. Phys. B 596 (2001) 299 [hep-ph/0008184] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  35. G. Bozzi, S. Catani, D. de Florian and M. Grazzini, Transverse-momentum resummation and the spectrum of the Higgs boson at the LHC, Nucl. Phys. B 737 (2006) 73 [hep-ph/0508068] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  36. S. Catani and M. Grazzini, QCD transverse-momentum resummation in gluon fusion processes, Nucl. Phys. B 845 (2011) 297 [arXiv:1011.3918] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  37. S. Frixione and B.R. Webber, Matching NLO QCD computations and parton shower simulations, JHEP 06 (2002) 029 [hep-ph/0204244] [INSPIRE].

    Article  ADS  Google Scholar 

  38. P. Nason, A new method for combining NLO QCD with shower Monte Carlo algorithms, JHEP 11 (2004) 040 [hep-ph/0409146] [INSPIRE].

    Article  ADS  Google Scholar 

  39. 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].

    Article  ADS  Google Scholar 

  40. D. de Florian and M. Grazzini, Next-to-next-to-leading logarithmic corrections at small transverse momentum in hadronic collisions, Phys. Rev. Lett. 85 (2000) 4678 [hep-ph/0008152] [INSPIRE].

    Article  ADS  Google Scholar 

  41. G. Bozzi, S. Catani, D. de Florian and M. Grazzini, The q(T ) spectrum of the Higgs boson at the LHC in QCD perturbation theory, Phys. Lett. B 564 (2003) 65 [hep-ph/0302104] [INSPIRE].

    Article  ADS  Google Scholar 

  42. G. Bozzi, S. Catani, D. de Florian and M. Grazzini, Higgs boson production at the LHC: transverse-momentum resummation and rapidity dependence, Nucl. Phys. B 791 (2008) 1 [arXiv:0705.3887] [INSPIRE].

    ADS  Google Scholar 

  43. G. Bozzi, S. Catani, G. Ferrera, D. de Florian and M. Grazzini, Transverse-momentum resummation: a perturbative study of Z production at the Tevatron, Nucl. Phys. B 815 (2009) 174 [arXiv:0812.2862] [INSPIRE].

    Article  ADS  Google Scholar 

  44. G. Bozzi, S. Catani, G. Ferrera, D. de Florian and M. Grazzini, Production of Drell-Yan lepton pairs in hadron collisions: transverse-momentum resummation at next-to-next-to-leading logarithmic accuracy, Phys. Lett. B 696 (2011) 207 [arXiv:1007.2351] [INSPIRE].

    Article  ADS  Google Scholar 

  45. M. Grazzini, Soft-gluon effects in WW production at hadron colliders, JHEP 01 (2006) 095 [hep-ph/0510337] [INSPIRE].

    Article  ADS  Google Scholar 

  46. R. Frederix and M. Grazzini, Higher-order QCD effects in the h → ZZ search channel at the LHC, Phys. Lett. B 662 (2008) 353 [arXiv:0801.2229] [INSPIRE].

    Article  ADS  Google Scholar 

  47. G. Bozzi, B. Fuks and M. Klasen, Transverse-momentum resummation for slepton-pair production at the CERN LHC, Phys. Rev. D 74 (2006) 015001 [hep-ph/0603074] [INSPIRE].

    Article  ADS  Google Scholar 

  48. H. Kawamura, J. Kodaira, H. Shimizu and K. Tanaka, The dilepton Q(T ) spectrum in transversely polarized Drell-Yan process in QCD, Prog. Theor. Phys. 115 (2006) 667 [hep-ph/0512137] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  49. H. Kawamura, J. Kodaira and K. Tanaka, Soft gluon corrections to double transverse-spin asymmetries for small-Q(T ) dilepton production at RHIC and J-PARC, Nucl. Phys. B 777 (2007) 203 [hep-ph/0703079] [INSPIRE].

    Article  ADS  Google Scholar 

  50. H. Kawamura, J. Kodaira and K. Tanaka, Transversely polarized Drell-Yan process and soft gluon resummation in QCD, Prog. Theor. Phys. 118 (2007) 581 [arXiv:0709.1752] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  51. H. Kawamura, J. Kodaira and K. Tanaka, Double-spin asymmetries for small-Q(T ) Drell-Yan pair production in transversely polarized pp collisions, Phys. Lett. B 662 (2008) 139 [arXiv:0801.0026] [INSPIRE].

    Article  ADS  Google Scholar 

  52. 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].

    Article  ADS  Google Scholar 

  53. S. Catani and M. Grazzini, Higgs boson production at hadron colliders: hard-collinear coefficients at the NNLO, arXiv:1106.4652 [INSPIRE].

  54. T. Becher and M. Neubert, Drell-Yan production at small q T , transverse parton distributions and the collinear anomaly, Eur. Phys. J. C 71 (2011) 1665 [arXiv:1007.4005] [INSPIRE].

    Article  ADS  Google Scholar 

  55. M. Grazzini, Higgs production at hadron colliders tools, http://theory.fi.infn.it/grazzini/codes.html.

  56. C. Balázs and C. Yuan, Higgs boson production at the LHC with soft gluon effects, Phys. Lett. B 478 (2000) 192 [hep-ph/0001103] [INSPIRE].

    Article  ADS  Google Scholar 

  57. C. Balázs, J. Huston and I. Puljak, Higgs production: a comparison of parton showers and resummation, Phys. Rev. D 63 (2001) 014021 [hep-ph/0002032] [INSPIRE].

    Article  ADS  Google Scholar 

  58. E.L. Berger and J.-w. Qiu, Differential cross-section for Higgs boson production including all orders soft gluon resummation, Phys. Rev. D 67 (2003) 034026 [hep-ph/0210135] [INSPIRE].

    Article  ADS  Google Scholar 

  59. E.L. Berger and J.-w. Qiu, Differential cross-sections for Higgs boson production at Tevatron collider energies, Phys. Rev. Lett. 91 (2003) 222003 [hep-ph/0304267] [INSPIRE].

    Article  ADS  Google Scholar 

  60. A. Kulesza and W.J. Stirling, Nonperturbative effects and the resummed Higgs transverse momentum distribution at the LHC, JHEP 12 (2003) 056 [hep-ph/0307208] [INSPIRE].

    Article  ADS  Google Scholar 

  61. A. Kulesza, G.F. Sterman and W. Vogelsang, Joint resummation for Higgs production, Phys. Rev. D 69 (2004) 014012 [hep-ph/0309264] [INSPIRE].

    Article  ADS  Google Scholar 

  62. Q.-H. Cao, C.-R. Chen, C. Schmidt and C.-P. Yuan, Improved predictions for Higgs Q(T ) at the Tevatron and the LHC, arXiv:0909.2305 [INSPIRE].

  63. S. Mantry and F. Petriello, Transverse momentum distributions from effective field theory with numerical results, Phys. Rev. D 83 (2011) 053007 [arXiv:1007.3773] [INSPIRE].

    Article  ADS  Google Scholar 

  64. R. Kauffman, Higher order corrections to Higgs boson p T , Phys. Rev. D 45 (1992) 1512 [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  65. C. Yuan, Kinematics of the Higgs boson at hadron colliders: NLO QCD gluon resummation, Phys. Lett. B 283 (1992) 395 [INSPIRE].

    Article  ADS  Google Scholar 

  66. J. Blumlein, Analytic continuation of Mellin transforms up to two loop order, Comput. Phys. Commun. 133 (2000) 76 [hep-ph/0003100] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  67. J. Blumlein and S. Kurth, Harmonic sums and Mellin transforms up to two loop order, Phys. Rev. D 60 (1999) 014018 [hep-ph/9810241] [INSPIRE].

    Article  ADS  Google Scholar 

  68. J. Blumlein and V. Ravindran, Mellin moments of the next-to-next-to leading order coefficient functions for the Drell-Yan process and hadronic Higgs-boson production, Nucl. Phys. B 716 (2005) 128 [hep-ph/0501178] [INSPIRE].

    Article  ADS  Google Scholar 

  69. J. Blumlein and S.-O. Moch, Analytic continuation of the harmonic sums for the 3-loop anomalous dimensions, Phys. Lett. B 614 (2005) 53 [hep-ph/0503188] [INSPIRE].

    Article  ADS  Google Scholar 

  70. E. Laenen, G.F. Sterman and W. Vogelsang, Higher order QCD corrections in prompt photon production, Phys. Rev. Lett. 84 (2000) 4296 [hep-ph/0002078] [INSPIRE].

    Article  ADS  Google Scholar 

  71. A. Kulesza, G.F. Sterman and W. Vogelsang, Joint resummation in electroweak boson production, Phys. Rev. D 66 (2002) 014011 [hep-ph/0202251] [INSPIRE].

    Article  ADS  Google Scholar 

  72. S. Moch, J. Vermaseren and A. Vogt, The three loop splitting functions in QCD: the nonsinglet case, Nucl. Phys. B 688 (2004) 101 [hep-ph/0403192] [INSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  73. U. Baur and E. Glover, Higgs boson production at large transverse momentum in hadronic collisions, Nucl. Phys. B 339 (1990) 38 [INSPIRE].

    Article  ADS  Google Scholar 

  74. H.-L. Lai et al., New parton distributions for collider physics, Phys. Rev. D 82 (2010) 074024 [arXiv:1007.2241] [INSPIRE].

    Article  ADS  Google Scholar 

  75. R.D. Ball et al., A first unbiased global NLO determination of parton distributions and their uncertainties, Nucl. Phys. B 838 (2010) 136 [arXiv:1002.4407] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  76. H1 collaboration, F. Aaron et al., A precision measurement of the inclusive ep scattering cross section at HERA, Eur. Phys. J. C 64 (2009) 561 [arXiv:0904.3513] [INSPIRE].

    Article  ADS  Google Scholar 

  77. A. Martin, W. Stirling, R. Thorne and G. Watt, Parton distributions for the LHC, Eur. Phys. J. C 63 (2009) 189 [arXiv:0901.0002] [INSPIRE].

    Article  ADS  Google Scholar 

  78. S. Alekhin, J. Blumlein, S. Klein and S. Moch, The 3, 4 and 5-flavor NNLO parton from deep-inelastic-scattering data and at hadron colliders, Phys. Rev. D 81 (2010) 014032 [arXiv:0908.2766] [INSPIRE].

    Article  ADS  Google Scholar 

  79. P. Jimenez-Delgado and E. Reya, Variable flavor number parton distributions and weak gauge and Higgs boson production at hadron colliders at NNLO of QCD, Phys. Rev. D 80 (2009) 114011 [arXiv:0909.1711] [INSPIRE].

    Article  ADS  Google Scholar 

  80. NNPDF collaboration, R.D. Ball et al., Unbiased global determination of parton distributions and their uncertainties at NNLO and at LO, Nucl. Phys. B 855 (2012) 153 [arXiv:1107.2652] [INSPIRE].

    Article  ADS  Google Scholar 

  81. A. Martin, R. Roberts, W. Stirling and R. Thorne, Physical gluons and high E(T ) jets, Phys. Lett. B 604 (2004) 61 [hep-ph/0410230] [INSPIRE].

    Article  ADS  Google Scholar 

  82. G. Watt, Parton distribution function dependence of benchmark Standard Model total cross sections at the 7 TeV LHC, JHEP 09 (2011) 069 [arXiv:1106.5788] [INSPIRE].

    Article  ADS  Google Scholar 

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Correspondence to Massimiliano Grazzini.

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ArXiv ePrint: 1109.2109

On leave of absence from INFN, Sezione di Firenze, Sesto Fiorentino, Florence, Italy (Massimiliano Grazzini)

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de Florian, D., Ferrera, G., Grazzini, M. et al. Transverse-momentum resummation: Higgs boson production at the Tevatron and the LHC. J. High Energ. Phys. 2011, 64 (2011). https://doi.org/10.1007/JHEP11(2011)064

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