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Journal of High Energy Physics

, 2010:44 | Cite as

NLO QCD bottom corrections to Higgs boson production in the MSSM

  • G. Degrassi
  • P. SlavichEmail author
Open Access
Article

Abstract

We present a calculation of the two-loop bottom-sbottom-gluino contributions to Higgs boson production via gluon fusion in the MSSM. The calculation is based on an asymptotic expansion in the masses of the supersymmetric particles, which are assumed to be much heavier than the bottom quark and the Higgs bosons. We obtain explicit analytic results that allow for a straightforward identification of the dominant contributions in the NLO bottom corrections. We emphasize the interplay between the calculations of the masses and the production cross sections of the Higgs bosons, discussing sensible choices of renormalization scheme for the parameters in the bottom/sbottom sector.

Keywords

Higgs Physics Beyond Standard Model Supersymmetric Standard Model NLO Computations 

References

  1. [1]
    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 [SPIRES].CrossRefADSGoogle Scholar
  2. [2]
    S. Dawson, Radiative corrections to Higgs boson production, Nucl. Phys. B 359 (1991) 283 [SPIRES].CrossRefADSGoogle Scholar
  3. [3]
    A. Djouadi, M. Spira and P.M. Zerwas, Production of Higgs bosons in proton colliders: QCD corrections, Phys. Lett. B 264 (1991) 440 [SPIRES].ADSGoogle Scholar
  4. [4]
    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] [SPIRES].CrossRefADSGoogle Scholar
  5. [5]
    R. Harlander and P. Kant, Higgs production and decay: Analytic results at next-to-leading order QCD, JHEP 12 (2005) 015 [hep-ph/0509189] [SPIRES].CrossRefADSGoogle Scholar
  6. [6]
    R.V. Harlander, Virtual corrections to ggH to two loops in the heavy top limit, Phys. Lett. B 492 (2000) 74 [hep-ph/0007289] [SPIRES].ADSGoogle Scholar
  7. [7]
    S. Catani, D. de Florian and M. Grazzini, Higgs production in hadron collisions: Soft and virtual QCD corrections at NNLO, JHEP 05 (2001) 025 [hep-ph/0102227] [SPIRES].CrossRefADSGoogle Scholar
  8. [8]
    R.V. Harlander and W.B. Kilgore, Soft and virtual corrections to ppH + X at NNLO, Phys. Rev. D 64 (2001) 013015 [hep-ph/0102241] [SPIRES].ADSGoogle Scholar
  9. [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] [SPIRES].CrossRefADSGoogle Scholar
  10. [10]
    C. Anastasiou and K. Melnikov, Higgs boson production at hadron colliders in NNLO QCD, Nucl. Phys. B 646 (2002) 220 [hep-ph/0207004] [SPIRES].CrossRefADSGoogle Scholar
  11. [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] [SPIRES].CrossRefADSGoogle Scholar
  12. [12]
    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] [SPIRES].CrossRefADSGoogle Scholar
  13. [13]
    S. Marzani, R.D. Ball, V. Del Duca, S. Forte and A. Vicini, Finite-top-mass effects in NNLO Higgs production, Nucl. Phys. Proc. Suppl. 186 (2009) 98 [arXiv:0809.4934] [SPIRES].CrossRefADSGoogle Scholar
  14. [14]
    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] [SPIRES].ADSGoogle Scholar
  15. [15]
    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] [SPIRES].CrossRefADSGoogle Scholar
  16. [16]
    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] [SPIRES].ADSGoogle Scholar
  17. [17]
    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] [SPIRES].CrossRefADSGoogle Scholar
  18. [18]
    R.V. Harlander, H. Mantler, S. Marzani and K.J. Ozeren, Higgs production in gluon fusion at next-to-next-to-leading order QCD for finite top mass, Eur. Phys. J. C 66 (2010) 359 [arXiv:0912.2104] [SPIRES].CrossRefADSGoogle Scholar
  19. [19]
    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] [SPIRES].CrossRefADSGoogle Scholar
  20. [20]
    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] [SPIRES].ADSGoogle Scholar
  21. [21]
    V. Ravindran, Higher-order threshold effects to inclusive processes in QCD, Nucl. Phys. B 752 (2006) 173 [hep-ph/0603041] [SPIRES].CrossRefADSGoogle Scholar
  22. [22]
    A. Djouadi and P. Gambino, Leading electroweak correction to Higgs boson production at proton colliders, Phys. Rev. Lett. 73 (1994) 2528 [hep-ph/9406432] [SPIRES].CrossRefADSGoogle Scholar
  23. [23]
    A. Djouadi, P. Gambino and B.A. Kniehl, Two loop electroweak heavy fermion corrections to Higgs boson production and decay, Nucl. Phys. B 523 (1998) 17 [hep-ph/9712330] [SPIRES].CrossRefADSGoogle Scholar
  24. [24]
    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] [SPIRES].ADSGoogle Scholar
  25. [25]
    U. Aglietti, R. Bonciani, G. Degrassi and A. Vicini, Master integrals for the two-loop light fermion contributions to ggH and Hgamma gamma, Phys. Lett. B 600 (2004) 57 [hep-ph/0407162] [SPIRES].ADSGoogle Scholar
  26. [26]
    G. Degrassi and F. Maltoni, T wo-loop electroweak corrections to Higgs production at hadron colliders, Phys. Lett. B 600 (2004) 255 [hep-ph/0407249] [SPIRES].ADSGoogle Scholar
  27. [27]
    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] [SPIRES]. ADSGoogle Scholar
  28. [28]
    S. Actis, G. Passarino, C. Sturm and S. Uccirati, NNLO Computational Techniques: the Cases H → γγ and Hgg, Nucl. Phys. B 811 (2009) 182 [arXiv:0809.3667] [SPIRES].CrossRefADSGoogle Scholar
  29. [29]
    S. Dawson, A. Djouadi and M. Spira, QCD corrections to SUSY Higgs production: The Role of squark loops, Phys. Rev. Lett. 77 (1996) 16 [hep-ph/9603423] [SPIRES].CrossRefADSGoogle Scholar
  30. [30]
    R.V. Harlander and M. Steinhauser, Hadronic Higgs Production and Decay in Supersymmetry at Next-to-Leading Order, Phys. Lett. B 574 (2003) 258 [hep-ph/0307346] [SPIRES].ADSGoogle Scholar
  31. [31]
    R.V. Harlander and M. Steinhauser, Supersymmetric Higgs production in gluon fusion at next-to-leading order, JHEP 09 (2004) 066 [hep-ph/0409010] [SPIRES].CrossRefADSGoogle Scholar
  32. [32]
    G. Degrassi and P. Slavich, On the NLO QCD corrections to Higgs production and decay in the MSSM, Nucl. Phys. B 805 (2008) 267 [arXiv:0806.1495] [SPIRES].CrossRefADSGoogle Scholar
  33. [33]
    C. Anastasiou, S. Beerli, S. Bucherer, A. Daleo and Z. Kunszt, Two-loop amplitudes and master integrals for the production of a Higgs boson via a massive quark and a scalar-quark loop, JHEP 01 (2007) 082 [hep-ph/0611236] [SPIRES].CrossRefADSGoogle Scholar
  34. [34]
    U. Aglietti, R. Bonciani, G. Degrassi and A. Vicini, Analytic results for virtual QCD corrections to Higgs production and decay, JHEP 01 (2007) 021 [hep-ph/0611266] [SPIRES].CrossRefADSGoogle Scholar
  35. [35]
    M. Muhlleitner and M. Spira, Higgs boson production via gluon fusion: Squark loops at NLO QCD, Nucl. Phys. B 790 (2008) 1 [hep-ph/0612254] [SPIRES].CrossRefADSGoogle Scholar
  36. [36]
    C. Anastasiou, S. Beerli and A. Daleo, The two-loop QCD amplitude gg -¿ h,H in the Minimal Supersymmetric Standard Model, Phys. Rev. Lett. 100 (2008) 241806 [arXiv:0803.3065] [SPIRES].CrossRefADSGoogle Scholar
  37. [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] [SPIRES].CrossRefADSGoogle Scholar
  38. [38]
    R. Bonciani, G. Degrassi and A. Vicini, Scalar Particle Contribution to Higgs Production via Gluon Fusion at NLO, JHEP 11 (2007) 095 [arXiv:0709.4227] [SPIRES].CrossRefADSGoogle Scholar
  39. [39]
    R.K. Ellis, I. Hinchliffe, M. Soldate and J.J. van der Bij, Higgs Decay to tau+ tau-: A Possible Signature of Intermediate Mass Higgs Bosons at the SSC, Nucl. Phys. B 297 (1988) 221 [SPIRES].CrossRefADSGoogle Scholar
  40. [40]
    U. Baur and E.W.N. Glover, Higgs Boson Production at Large Transverse Momentum in Hadronic Collisions, Nucl. Phys. B 339 (1990) 38 [SPIRES].CrossRefADSGoogle Scholar
  41. [41]
    T. Hahn, Generating Feynman diagrams and amplitudes with FeynArts 3, Comput. Phys. Commun. 140 (2001) 418 [hep-ph/0012260] [SPIRES].CrossRefADSzbMATHGoogle Scholar
  42. [42]
    T. Hahn and C. Schappacher, The implementation of the minimal supersymmetric standard model in FeynArts and FormCalc, Comput. Phys. Commun. 143 (2002) 54 [hep-ph/0105349] [SPIRES].CrossRefADSzbMATHGoogle Scholar
  43. [43]
    A.I. Davydychev and J.B. Tausk, Two loop selfenergy diagrams with different masses and the momentum expansion, Nucl. Phys. B 397 (1993) 123 [SPIRES].CrossRefADSGoogle Scholar
  44. [44]
    V.A. Smirnov, Applied asymptotic expansions in momenta and masses, Springer Tracts Mod. Phys. 177 (2002) 1.CrossRefADSGoogle Scholar
  45. [45]
    V.A. Smirnov and E.R. Rakhmetov, The regional strategy in the asymptotic expansion of two-loop vertex Feynman diagrams, Theor. Math. Phys. 120 (1999) 870 [Teor. Mat. Fiz. 120 (1999) 64] [hep-ph/9812529] [SPIRES].CrossRefzbMATHGoogle Scholar
  46. [46]
    D. Binosi and L. Theussl, JaxoDraw: A graphical user interface for drawing Feynman diagrams, Comput. Phys. Commun. 161 (2004) 76 [hep-ph/0309015] [SPIRES].CrossRefADSGoogle Scholar
  47. [47]
    G. Passarino and M.J.G. Veltman, One Loop Corrections for e + e Annihilation Into μ + μ in the Weinberg Model, Nucl. Phys. B 160 (1979) 151 [SPIRES].CrossRefADSGoogle Scholar
  48. [48]
    B.C. Allanach, SOFTSUSY:aprogram forcalculatingsupersymmetricspectra, Comput. Phys. Commun. 143 (2002) 305 [hep-ph/0104145] [SPIRES].CrossRefADSzbMATHGoogle Scholar
  49. [49]
    A. Djouadi, J.-L. Kneur and G. Moultaka, SuSpect: A Fortran code for the supersymmetric and Higgs particle spectrum in the MSSM, Comput. Phys. Commun. 176 (2007) 426 [hep-ph/0211331] [SPIRES].CrossRefADSzbMATHGoogle Scholar
  50. [50]
    W. Porod, SPheno, a program for calculating supersymmetric spectra, SUSY particle decays and SUSY particle production at e + e colliders, Comput. Phys. Commun. 153 (2003) 275 [hep-ph/0301101] [SPIRES].CrossRefADSGoogle Scholar
  51. [51]
    A. Brignole, G. Degrassi, P. Slavich and F. Zwirner, On the two-loop sbottom corrections to the neutral Higgs boson masses in the MSSM, Nucl. Phys. B 643 (2002) 79 [hep-ph/0206101] [SPIRES].CrossRefADSGoogle Scholar
  52. [52]
    S. Heinemeyer, W. Hollik and G. Weiglein, FeynHiggs: a program for the calculation of the masses of the neutral CP-even Higgs bosons in the MSSM, Comput. Phys. Commun. 124 (2000) 76 [hep-ph/9812320] [SPIRES].CrossRefADSzbMATHGoogle Scholar
  53. [53]
    L.J. Hall, R. Rattazzi and U. Sarid, The Top quark mass in supersymmetric SO(10) unification, Phys. Rev. D 50 (1994) 7048 [hep-ph/9306309] [SPIRES].ADSGoogle Scholar
  54. [54]
    M.S. Carena, D. Garcia, U. Nierste and C.E.M. Wagner, Effective Lagrangian for the \( \overline t b{H^{+} } \) interaction in the MSSM and charged Higgs phenomenology, Nucl. Phys. B 577 (2000) 88 [hep-ph/9912516] [SPIRES].CrossRefADSGoogle Scholar
  55. [55]
    A. Bartl et al., QCD corrections to Higgs boson decays into squarks in the minimal supersymmetric standard model, Phys. Lett. B 402 (1997) 303 [hep-ph/9701398] [SPIRES].ADSGoogle Scholar
  56. [56]
    H. Eberl, K. Hidaka, S. Kraml, W. Majerotto and Y. Yamada, Improved SUSY QCD corrections to Higgs boson decays into quarks and squarks, Phys. Rev. D 62 (2000) 055006 [hep-ph/9912463] [SPIRES].ADSGoogle Scholar
  57. [57]
    S. Heinemeyer, W. Hollik, H. Rzehak and G. Weiglein, High-precision predictions for the MSSM Higgs sector at \( \mathcal{O}\left( {{\alpha_b}{\alpha_s}} \right) \), Eur. Phys. J. C 39 (2005) 465 [hep-ph/0411114] [SPIRES].CrossRefADSGoogle Scholar
  58. [58]
    S. Heinemeyer, H. Rzehak and C. Schappacher, Proposals for Bottom Quark/Squark Renormalization in the Complex MSSM, Phys. Rev. D 82 (2010) 075010 [arXiv:1007. 0689] [SPIRES]. ADSGoogle Scholar
  59. [59]
    A. Pilaftsis, Resonant CP-violation induced by particle mixing in transition amplitudes, Nucl. Phys. B 504 (1997) 61 [hep-ph/9702393] [SPIRES].CrossRefADSGoogle Scholar
  60. [60]
    J. Guasch, J. Solà and W. Hollik, Yukawa coupling corrections to scalar quark decays, Phys. Lett. B 437 (1998) 88 [hep-ph/9802329] [SPIRES].ADSGoogle Scholar
  61. [61]
    H. Eberl, S. Kraml and W. Majerotto, Yukawa coupling corrections to stop, sbottom and stau production in e + e annihilation, JHEP 05 (1999) 016 [hep-ph/9903413] [SPIRES].CrossRefADSGoogle Scholar
  62. [62]
    Y. Yamada, Gauge dependence of the on-shell renormalized mixing matrices, Phys. Rev. D 64 (2001) 036008 [hep-ph/0103046] [SPIRES].ADSGoogle Scholar
  63. [63]
    Particle Data Group collaboration, C. Amsler et al., Review of particle physics, Phys. Lett. B 667 (2008) 1 [SPIRES].ADSGoogle Scholar
  64. [64]
    Tevatron Electroweak Working Group and CDF and D0 collaboration, Combination of CDF and D0 Results on the Mass of the Top Quark, arXiv: 0903.2503 [SPIRES].
  65. [65]
    J.H. Kuhn, M. Steinhauser and C. Sturm, Heavy quark masses from sum rules in four-loop approximation, Nucl. Phys. B 778 (2007) 192 [hep-ph/0702103] [SPIRES].CrossRefADSGoogle Scholar
  66. [66]
    K.G. Chetyrkin et al., Charm and Bottom Quark Masses: an Update, Phys. Rev. D 80 (2009) 074010 [arXiv:0907.2110] [SPIRES].ADSGoogle Scholar
  67. [67]
    J .H. Kuhn, Precise Charm-and Bottom-Quark Masses: Recent Updates, PoS(RADCOR2009)035 (2010) [arXiv:1001.5173] [SPIRES].
  68. [68]
    G. Degrassi, P. Slavich and F. Zwirner, On the neutral Higgs boson masses in the MSSM for arbitrary stop mixing, Nucl. Phys. B 611 (2001) 403 [hep-ph/0105096] [SPIRES].CrossRefADSGoogle Scholar
  69. [69]
    M. Muhlleitner, H. Rzehak and M. Spira, SUSY -QCD corrections to MSSM Higgs boson production via gluon fusion, PoS(RADCOR2009)043 (2010) [arXiv:1001.3214] [SPIRES].

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Authors and Affiliations

  1. 1.Dipartimento di FisicaUniversità di Roma Tre and INFNRomeItaly
  2. 2.LPTHEParisFrance

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