Supersymmetric Higgs production in gluon fusion. (English) Zbl 1294.81346

Harlander, Robert V.; Hofmann, Franziska; Mantler, Hendrik

J. High Energy Phys. 2011, No. 2, Paper No. 055, 30 p. (2011).

Summary: The cross section through gluon fusion is calculated for the production of the light neutral Higgs boson through next-to-leading order QCD within the Minimal Supersymmetric Standard Model. The quark-mediated contributions are taken into account exactly, while for the genuinely supersymmetric terms we use expressions obtained in the limit of large squark, gluino and top quark masses. We present numerical results for the total inclusive cross section as well as for kinematical distributions of the Higgs boson. We also consider the effect of an MSSM-like \(4^{th}\) generation on the total Higgs production cross section.

MSC:

81V22	Unified quantum theories
81T60	Supersymmetric field theories in quantum mechanics
81V05	Strong interaction, including quantum chromodynamics
81U35	Inelastic and multichannel quantum scattering
81T15	Perturbative methods of renormalization applied to problems in quantum field theory

Keywords:

Higgs physics; supersymmetric standard model; NLO computations; hadronic colliders

Software:

MATAD; FeynHiggs; HIGLU

References:

[1]	CDF and D0 collaboration, Combined CDF and D0 Upper Limits on Standard Model Higgs-Boson Production with up to 6.7 fb−1of Data, arXiv:1007.4587 [SPIRES].
[2]	A. Djouadi, The Anatomy of electro-weak symmetry breaking. I: The Higgs boson in the standard model, Phys. Rept.457 (2008) 1 [hep-ph/0503172] [SPIRES]. · doi:10.1016/j.physrep.2007.10.004
[3]	A. Djouadi, The Anatomy of electro-weak symmetry breaking. II. The Higgs bosons in the minimal supersymmetric model, Phys. Rept.459 (2008) 1 [hep-ph/0503173] [SPIRES]. · doi:10.1016/j.physrep.2007.10.005
[4]	R. Harlander, Higgs production — higher orders and finite top mass effects, proceedings of the XLVth Rencontres de Moriond 2010, La Thuile Italy (2010).
[5]	R. Harlander, Higgs production at the Large Hadron Collider: theoretical status, J. Phys.G 35 (2008) 033001 [SPIRES].
[6]	Tevatron New Phenomena & Higgs Working Group collaboration, D. Benjamin et al., Combined CDF and D0 upper limits on MSSM Higgs boson production in tau-tau final states with up to 2.2 fb−1, arXiv:1003.3363 [SPIRES].
[7]	J. Baglio and A. Djouadi, Revisiting the constraints on the Supersymmetric Higgs sector at the Tevatron, arXiv:1012.2748 [SPIRES].
[8]	CDF and D0 collaboration, T. Aaltonen et al., Combined Tevatron upper limit on gg → H → W+W−and constraints on the Higgs boson mass in fourth-generation fermion models, arXiv:1005.3216 [SPIRES].
[9]	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]. · doi:10.1103/PhysRevLett.40.692
[10]	A. Djouadi, M. Spira and P.M. Zerwas, Production of Higgs bosons in proton colliders: QCD corrections, Phys. Lett.B 264 (1991) 440 [SPIRES].
[11]	S. Dawson, Radiative corrections to Higgs boson production, Nucl. Phys.B 359 (1991) 283 [SPIRES]. · doi:10.1016/0550-3213(91)90061-2
[12]	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]. · doi:10.1016/0550-3213(95)00379-7
[13]	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]. · doi:10.1103/PhysRevLett.88.201801
[14]	C. Anastasiou and K. Melnikov, Higgs boson production at hadron colliders in NNLO QCD, Nucl. Phys.B 646 (2002) 220 [hep-ph/0207004] [SPIRES]. · doi:10.1016/S0550-3213(02)00837-4
[15]	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]. · doi:10.1016/S0550-3213(03)00457-7
[16]	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]. · doi:10.1016/j.nuclphysb.2008.03.016
[17]	R.V. Harlander and K.J. Ozeren, Finite top mass effects for hadronic Higgs production at next-to-next-to-leading order, JHEP11 (2009) 088 [arXiv:0909.3420] [SPIRES]. · doi:10.1088/1126-6708/2009/11/088
[18]	A. Pak, M. Rogal and M. Steinhauser, Finite top quark mass effects in NNLO Higgs boson production at LHC, JHEP02 (2010) 025 [arXiv:0911.4662] [SPIRES]. · Zbl 1270.81220 · doi:10.1007/JHEP02(2010)025
[19]	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]. · doi:10.1140/epjc/s10052-010-1258-x
[20]	S. Catani, D. de Florian, M. Grazzini and P. Nason, Soft-gluon resummation for Higgs boson production at hadron colliders, JHEP07 (2003) 028 [hep-ph/0306211] [SPIRES]. · doi:10.1088/1126-6708/2003/07/028
[21]	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] [SPIRES].
[22]	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] [SPIRES]. · doi:10.1016/j.nuclphysb.2006.07.002
[23]	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].
[24]	V. Ravindran, Higher-order threshold effects to inclusive processes in QCD, Nucl. Phys.B 752 (2006) 173 [hep-ph/0603041] [SPIRES]. · doi:10.1016/j.nuclphysb.2006.06.025
[25]	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] [SPIRES]. · doi:10.1140/epjc/s10052-009-1030-2
[26]	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].
[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].
[28]	C. Anastasiou, R. Boughezal and F. Petriello, Mixed QCD-electroweak corrections to Higgs boson production in gluon fusion, JHEP04 (2009) 003 [arXiv:0811.3458] [SPIRES]. · doi:10.1088/1126-6708/2009/04/003
[29]	A. Djouadi, Squark effects on Higgs boson production and decay at the LHC, Phys. Lett.B 435 (1998) 101 [hep-ph/9806315] [SPIRES].
[30]	M.S. Carena, S. Heinemeyer, C.E.M. Wagner and G. Weiglein, Suggestions for benchmark scenarios for MSSM Higgs boson searches at hadron colliders, Eur. Phys. J.C 26 (2003) 601 [hep-ph/0202167] [SPIRES].
[31]	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].
[32]	R.V. Harlander and M. Steinhauser, Supersymmetric Higgs production in gluon fusion at next-to-leading order, JHEP09 (2004) 066 [hep-ph/0409010] [SPIRES]. · doi:10.1088/1126-6708/2004/09/066
[33]	R. Harlander and M. Steinhauser, Effects of SUSY-QCD in hadronic Higgs production at next-to-next-to-leading order, Phys. Rev.D 68 (2003) 111701 [hep-ph/0308210] [SPIRES].
[34]	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]. · Zbl 1190.81147 · doi:10.1016/j.nuclphysb.2008.07.022
[35]	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, JHEP01 (2007) 082 [hep-ph/0611236] [SPIRES]. · doi:10.1088/1126-6708/2007/01/082
[36]	U. Aglietti, R. Bonciani, G. Degrassi and A. Vicini, Analytic results for virtual QCD corrections to Higgs production and decay, JHEP01 (2007) 021 [hep-ph/0611266] [SPIRES]. · doi:10.1088/1126-6708/2007/01/021
[37]	M. Mühlleitner and M. Spira, Higgs boson production via gluon fusion: Squark loops at NLO QCD, Nucl. Phys.B 790 (2008) 1 [hep-ph/0612254] [SPIRES]. · doi:10.1016/j.nuclphysb.2007.08.011
[38]	G. Degrassi and P. Slavich, NLO QCD bottom corrections to Higgs boson production in the MSSM, JHEP11 (2010) 044 [arXiv:1007.3465] [SPIRES]. · Zbl 1294.81335 · doi:10.1007/JHEP11(2010)044
[39]	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]. · doi:10.1103/PhysRevLett.100.241806
[40]	A. Pak, M. Steinhauser and N. Zerf, Higgs boson production in gluon fusion to NNLO in the MSSM, arXiv:1012.0639 [SPIRES].
[41]	S. Heinemeyer, MSSM Higgs physics at higher orders, Int. J. Mod. Phys.A 21 (2006) 2659 [hep-ph/0407244] [SPIRES]. · Zbl 1101.81350
[42]	B.C. Allanach, A. Djouadi, J.L. Kneur, W. Porod and P. Slavich, Precise determination of the neutral Higgs boson masses in the MSSM, JHEP09 (2004) 044 [hep-ph/0406166] [SPIRES]. · doi:10.1088/1126-6708/2004/09/044
[43]	P. Kant, R.V. Harlander, L. Mihaila and M. Steinhauser, Light MSSM Higgs boson mass to three-loop accuracy, JHEP08 (2010) 104 [arXiv:1005.5709] [SPIRES]. · Zbl 1290.81174 · doi:10.1007/JHEP08(2010)104
[44]	R. Harlander and P. Kant, Higgs production and decay: Analytic results at next-to-leading order QCD, JHEP12 (2005) 015 [hep-ph/0509189] [SPIRES]. · doi:10.1088/1126-6708/2005/12/015
[45]	http://www-ttp.physik.uni-karlsruhe.de/Progdata/ttp04/ttp04-19/.
[46]	F. Hofmann, Influence of the Supersymmetric Bottom Sector on Higgs Production and Decay, Ph.D. Thesis, Wuppertal University, Wuppertal Germany (2009).
[47]	O. Brein and W. Hollik, MSSM Higgs bosons associated with high-pTjets at hadron colliders, Phys. Rev.D 68 (2003) 095006 [hep-ph/0305321] [SPIRES].
[48]	B. Field, S. Dawson and J. Smith, Scalar and pseudoscalar Higgs boson plus one jet production at the LHC and Tevatron, Phys. Rev.D 69 (2004) 074013 [hep-ph/0311199] [SPIRES].
[49]	O. Brein and W. Hollik, Distributions for MSSM Higgs boson + jet production at hadron colliders, Phys. Rev.D 76 (2007) 035002 [arXiv:0705.2744] [SPIRES].
[50]	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]. · doi:10.1016/0550-3213(79)90234-7
[51]	R.K. Ellis, I. Hinchliffe, M. Soldate and J.J. van der Bij, Higgs Decay to τ+τ−: A Possible Signature of Intermediate Mass Higgs Bosons at the SSC, Nucl. Phys.B 297 (1988) 221 [SPIRES]. · doi:10.1016/0550-3213(88)90019-3
[52]	U. Baur and E.W.N. Glover, Higgs Boson Production At Large Transverse Momentum In Hadronic Collisions, Nucl. Phys.B 339 (1990) 38 [SPIRES]. · doi:10.1016/0550-3213(90)90532-I
[53]	W.-Y. Keung and F.J. Petriello, Electroweak and finite quark-mass effects on the Higgs boson transverse momentum distribution, Phys. Rev.D 80 (2009) 013007 [arXiv:0905.2775] [SPIRES].
[54]	R. Bonciani, G. Degrassi and A. Vicini, Scalar Particle Contribution to Higgs Production via Gluon Fusion at NLO, JHEP11 (2007) 095 [arXiv:0709.4227] [SPIRES]. · doi:10.1088/1126-6708/2007/11/095
[55]	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].
[56]	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].
[57]	V.A. Smirnov, Springer Tracts in Modern Physics. Vol. 177: Applied asymptotic expansions in momenta and masses, Springer, Heidelberg Germany (2002) [ISBN:3-540-42334-6] · Zbl 1025.81002
[58]	M. Steinhauser, MATAD: A program package for the computation of massive tadpoles, Comput. Phys. Commun.134 (2001) 335 [hep-ph/0009029] [SPIRES]. · Zbl 0978.81058 · doi:10.1016/S0010-4655(00)00204-6
[59]	R. Harlander, P. Kant, L. Mihaila and M. Steinhauser, Dimensional reduction applied to QCD at three loops, JHEP09 (2006) 053 [hep-ph/0607240] [SPIRES]. · doi:10.1088/1126-6708/2006/09/053
[60]	R.V. Harlander, D.R.T. Jones, P. Kant, L. Mihaila and M. Steinhauser, Four-loop β-function and mass anomalous dimension in dimensional reduction, JHEP12 (2006) 024 [hep-ph/0610206] [SPIRES]. · Zbl 1226.81135 · doi:10.1088/1126-6708/2006/12/024
[61]	R.V. Harlander, L. Mihaila and M. Steinhauser, The SUSY-QCD β-function to three loops, Eur. Phys. J.C 63 (2009) 383 [arXiv:0905.4807] [SPIRES]. · doi:10.1140/epjc/s10052-009-1109-9
[62]	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]. · doi:10.1016/S0550-3213(02)00748-4
[63]	R. Harlander, L. Mihaila and M. Steinhauser, Two-loop matching coefficients for the strong coupling in the MSSM, Phys. Rev.D 72 (2005) 095009 [hep-ph/0509048] [SPIRES].
[64]	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]. · doi:10.1140/epjc/s2005-02112-6
[65]	B.C. Allanach et al., The Snowmass points and slopes: Benchmarks for SUSY searches, Eur. Phys. J.C 25 (2002) 113 [hep-ph/0202233] [SPIRES]. · doi:10.1007/s10052-002-0949-3
[66]	M.S. Carena, S. Heinemeyer, C.E.M. Wagner and G. Weiglein, MSSM Higgs boson searches at the Tevatron and the LHC: Impact of different benchmark scenarios, Eur. Phys. J.C 45 (2006) 797 [hep-ph/0511023] [SPIRES]. · doi:10.1140/epjc/s2005-02470-y
[67]	M. Frank et al., The Higgs boson masses and mixings of the complex MSSM in the Feynman-diagrammatic approach, JHEP02 (2007) 047 [hep-ph/0611326] [SPIRES]. · doi:10.1088/1126-6708/2007/02/047
[68]	G. Degrassi, S. Heinemeyer, W. Hollik, P. Slavich and G. Weiglein, Towards high-precision predictions for the MSSM Higgs sector, Eur. Phys. J.C 28 (2003) 133 [hep-ph/0212020] [SPIRES].
[69]	S. Heinemeyer, W. Hollik and G. Weiglein, The Masses of the neutral CP-even Higgs bosons in the MSSM: Accurate analysis at the two loop level, Eur. Phys. J.C 9 (1999) 343 [hep-ph/9812472] [SPIRES].
[70]	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]. · Zbl 0946.81506 · doi:10.1016/S0010-4655(99)00364-1
[71]	S.P. Martin, Three-loop corrections to the lightest Higgs scalar boson mass in supersymmetry, Phys. Rev.D 75 (2007) 055005 [hep-ph/0701051] [SPIRES].
[72]	R.V. Harlander, P. Kant, L. Mihaila and M. Steinhauser, Higgs boson mass in supersymmetry to three loops, Phys. Rev. Lett.100 (2008) 191602 [Erratum ibid101 (2008) 039901] [arXiv:0803.0672] [SPIRES]. · doi:10.1103/PhysRevLett.100.191602
[73]	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] [SPIRES].
[74]	J. Baglio and A. Djouadi, Higgs production at the LHC, arXiv:1012.0530 [SPIRES].
[75]	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] [SPIRES]. · Zbl 1369.81126 · doi:10.1140/epjc/s10052-009-1072-5
[76]	M.S. Carena, D. Garcia, U. Nierste and C.E.M. Wagner, Effective Lagrangian for the \(\bar{t}b{H^+ }\) interaction in the MSSM and charged Higgs phenomenology, Nucl. Phys.B 577 (2000) 88 [hep-ph/9912516] [SPIRES]. · doi:10.1016/S0550-3213(00)00146-2
[77]	M.S. Carena, D. Garcia, U. Nierste and C.E.M. Wagner, b → sγ and supersymmetry with large tan β, Phys. Lett.B 499 (2001) 141 [hep-ph/0010003] [SPIRES].
[78]	M. Spira, HIGLU: A Program for the Calculation of the Total Higgs Production Cross Section at Hadron Colliders via Gluon Fusion including QCD Corrections, hep-ph/9510347 [SPIRES].
[79]	U. Langenegger, M. Spira, A. Starodumov and P. Trueb, SM and MSSM Higgs boson production: Spectra at large transverse momentum, JHEP06 (2006) 035 [hep-ph/0604156] [SPIRES]. · doi:10.1088/1126-6708/2006/06/035
[80]	G.D. Kribs, T. Plehn, M. Spannowsky and T.M.P. Tait, Four generations and Higgs physics, Phys. Rev.D 76 (2007) 075016 [arXiv:0706.3718] [SPIRES].
[81]	C. Anastasiou, R. Boughezal and E. Furlan, The NNLO gluon fusion Higgs production cross-section with many heavy quarks, JHEP06 (2010) 101 [arXiv:1003.4677] [SPIRES]. · Zbl 1288.81156 · doi:10.1007/JHEP06(2010)101
[82]	Q. Li, M. Spira, J. Gao and C.S. Li, Higgs Boson Production via Gluon Fusion in the Standard Model with four Generations, arXiv:1011.4484 [SPIRES].
[83]	R. Fok and G.D. Kribs, Four Generations, the Electroweak Phase Transition and Supersymmetry, Phys. Rev.D 78 (2008) 075023 [arXiv:0803.4207] [SPIRES].
[84]	S. Litsey and M. Sher, Higgs Masses in the Four Generation MSSM, Phys. Rev.D 80 (2009) 057701 [arXiv:0908.0502] [SPIRES].
[85]	S. Dawson and P. Jaiswal, Four Generations, Higgs Physics and the MSSM, Phys. Rev.D 82 (2010) 073017 [arXiv:1009.1099] [SPIRES].
[86]	CDF collaboration, T. Aaltonen et al., Search for New Bottomlike Quark Pair Decays \(Q\bar{Q} \to \left( {t{W^\mp }} \right)\left( {\bar{t}{W^\pm }} \right)\) in Same-Charge Dilepton Events, Phys. Rev. Lett.104 (2010) 091801 [arXiv:0912.1057] [SPIRES]. · doi:10.1103/PhysRevLett.104.091801
[87]	CDF collaboration, D. Cox, Search for a heavy top t′ ⇒ Wq in top events, arXiv:0910.3279 [SPIRES].
[88]	http://particle.uni-wuppertal.de/harlander/research/data/gghbsusy.