Abstract
We present up-to-date matched predictions for the \( b\overline{b}H \) inclusive cross section at the LHC at \( \sqrt{s}=13 \) TeV. Using a previously developed method, our predictions consistently combine the complete NLO contributions that are present in the 4-flavor scheme calculation, including finite b-quark mass effects as well as top-loop induced Y b Y t interference contributions, with the resummation of collinear logarithms of m b /m H as present in the 5-flavor scheme calculation up to NNLO. We provide a detailed estimate of the perturbative uncertainties of the matched result by examining its dependence on the factorization and renormalization scales, the scale of the Yukawa coupling, and also the low b-quark matching scale in the PDFs. We motivate the use of a central renormalization scale of m H /2, which is halfway between the values typically chosen in the 4-flavor and 5-flavor scheme calculations. We evaluate the parametric uncertainties due to the PDFs and the b-quark mass, and in particular discuss how to systematically disentangle the parametric m b dependence and the unphysical b-quark matching scale dependence. Our best prediction for the \( b\overline{b}H \) production cross section in the Standard Model at 13 TeV and for m H = 125 GeV is \( \sigma \left(b\overline{b}H\right)=0.52\kern0.5em \mathrm{p}\mathrm{b}\left[1\pm 9.6\%{\left(\mathrm{perturbative}\right)}_{-3.6\%}^{+2.9\%}\left(\mathrm{parametric}\right)\right] \). We also provide predictions for a range of Higgs masses m H ∈ [50, 750] GeV. Our method to compute the matched prediction and to evaluate its uncertainty can be readily applied to other heavy-quark-initiated processes at the LHC.
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References
M.A.G. Aivazis, F.I. Olness and W.-K. Tung, Leptoproduction of heavy quarks. 1. General formalism and kinematics of charged current and neutral current production processes, Phys. Rev. D 50 (1994) 3085 [hep-ph/9312318] [INSPIRE].
M.A.G. Aivazis, J.C. Collins, F.I. Olness and W.-K. Tung, Leptoproduction of heavy quarks. 2. A Unified QCD formulation of charged and neutral current processes from fixed target to collider energies, Phys. Rev. D 50 (1994) 3102 [hep-ph/9312319] [INSPIRE].
R.S. Thorne and R.G. Roberts, An Ordered analysis of heavy flavor production in deep inelastic scattering, Phys. Rev. D 57 (1998) 6871 [hep-ph/9709442] [INSPIRE].
S. Kretzer and I. Schienbein, Heavy quark initiated contributions to deep inelastic structure functions, Phys. Rev. D 58 (1998) 094035 [hep-ph/9805233] [INSPIRE].
J.C. Collins, Hard scattering factorization with heavy quarks: A General treatment, Phys. Rev. D 58 (1998) 094002 [hep-ph/9806259] [INSPIRE].
M. Cacciari, M. Greco and P. Nason, The p T spectrum in heavy flavor hadroproduction, JHEP 05 (1998) 007 [hep-ph/9803400] [INSPIRE].
M. Krämer, 1, F.I. Olness and D.E. Soper, Treatment of heavy quarks in deeply inelastic scattering, Phys. Rev. D 62 (2000) 096007 [hep-ph/0003035] [INSPIRE].
W.-K. Tung, S. Kretzer and C. Schmidt, Open heavy flavor production in QCD: Conceptual framework and implementation issues, J. Phys. G 28 (2002) 983 [hep-ph/0110247] [INSPIRE].
R.S. Thorne, A Variable-flavor number scheme for NNLO, Phys. Rev. D 73 (2006) 054019 [hep-ph/0601245] [INSPIRE].
S. Forte, E. Laenen, P. Nason and J. Rojo, Heavy quarks in deep-inelastic scattering, Nucl. Phys. B 834 (2010) 116 [arXiv:1001.2312] [INSPIRE].
M. Guzzi, P.M. Nadolsky, H.-L. Lai and C.P. Yuan, General-Mass Treatment for Deep Inelastic Scattering at Two-Loop Accuracy, Phys. Rev. D 86 (2012) 053005 [arXiv:1108.5112] [INSPIRE].
A.H. Hoang, P. Pietrulewicz and D. Samitz, Variable Flavor Number Scheme for Final State Jets in DIS, Phys. Rev. D 93 (2016) 034034 [arXiv:1508.04323] [INSPIRE].
R.D. Ball, M. Bonvini and L. Rottoli, Charm in deep-inelastic scattering, JHEP 11 (2015) 122 [arXiv:1510.02491] [INSPIRE].
T. Han, J. Sayre and S. Westhoff, Top-quark initiated processes at high-energy hadron colliders, JHEP 04 (2015) 145 [arXiv:1411.2588] [INSPIRE].
S. Forte, D. Napoletano and M. Ubiali, Higgs production in bottom-quark fusion in a matched scheme, Phys. Lett. B 751 (2015) 331 [arXiv:1508.01529] [INSPIRE].
M. Bonvini, A.S. Papanastasiou and F.J. Tackmann, Resummation and matching of b-quark mass effects in bbH production, JHEP 11 (2015) 196 [arXiv:1508.03288] [INSPIRE].
D. Dicus, T. Stelzer, Z. Sullivan and S. Willenbrock, Higgs boson production in association with bottom quarks at next-to-leading order, Phys. Rev. D 59 (1999) 094016 [hep-ph/9811492] [INSPIRE].
C. Balázs, H.-J. He and C.P. Yuan, QCD corrections to scalar production via heavy quark fusion at hadron colliders, Phys. Rev. D 60 (1999) 114001 [hep-ph/9812263] [INSPIRE].
R.V. Harlander and W.B. Kilgore, Higgs boson production in bottom quark fusion at next-to-next-to leading order, Phys. Rev. D 68 (2003) 013001 [hep-ph/0304035] [INSPIRE].
S. Bühler, F. Herzog, A. Lazopoulos and R. Müller, The fully differential hadronic production of a Higgs boson via bottom quark fusion at NNLO, JHEP 07 (2012) 115 [arXiv:1204.4415] [INSPIRE].
R.V. Harlander, S. Liebler and H. Mantler, SusHi: a program for the calculation of Higgs production in gluon fusion and bottom-quark annihilation in the Standard Model and the MSSM, Comput. Phys. Commun. 184 (2013) 1605 [arXiv:1212.3249] [INSPIRE].
S. Dittmaier, M. Krämer, 1 and M. Spira, Higgs radiation off bottom quarks at the Tevatron and the CERN LHC, Phys. Rev. D 70 (2004) 074010 [hep-ph/0309204] [INSPIRE].
S. Dawson, C.B. Jackson, L. Reina and D. Wackeroth, Exclusive Higgs boson production with bottom quarks at hadron colliders, Phys. Rev. D 69 (2004) 074027 [hep-ph/0311067] [INSPIRE].
M. Wiesemann, R. Frederix, S. Frixione, V. Hirschi, F. Maltoni and P. Torrielli, Higgs production in association with bottom quarks, JHEP 02 (2015) 132 [arXiv:1409.5301] [INSPIRE].
R. Harlander, M. Krämer and M. Schumacher, Bottom-quark associated Higgs-boson production: reconciling the four- and five-flavour scheme approach, arXiv:1112.3478 [INSPIRE].
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].
F. Maltoni, Z. Sullivan and S. Willenbrock, Higgs-boson production via bottom-quark fusion, Phys. Rev. D 67 (2003) 093005 [hep-ph/0301033] [INSPIRE].
F. Maltoni, T. McElmurry and S. Willenbrock, Inclusive production of a Higgs or Z boson in association with heavy quarks, Phys. Rev. D 72 (2005) 074024 [hep-ph/0505014] [INSPIRE].
F. Maltoni, G. Ridolfi and M. Ubiali, b-initiated processes at the LHC: a reappraisal, JHEP 07 (2012) 022 [Erratum ibid. 1304 (2013) 095] [arXiv:1203.6393] [INSPIRE].
R.V. Harlander, Higgs production in heavy quark annihilation through next-to-next-to-leading order QCD, Eur. Phys. J. C 76 (2016) 252 [arXiv:1512.04901] [INSPIRE].
Particle Data Group collaboration, K.A. Olive et al., Review of Particle Physics, Chin. Phys. C 38 (2014) 090001 [INSPIRE].
A. Denner et al., Standard Model input parameters for Higgs physics, LHCHXSWG-INT-2015-006 (2016).
V. Bertone, S. Carrazza and J. Rojo, APFEL: A PDF Evolution Library with QED corrections, Comput. Phys. Commun. 185 (2014) 1647 [arXiv:1310.1394] [INSPIRE].
L.A. Harland-Lang, A.D. Martin, P. Motylinski and R.S. Thorne, Charm and beauty quark masses in the MMHT2014 global PDF analysis, Eur. Phys. J. C 76 (2016) 10 [arXiv:1510.02332] [INSPIRE].
J. Butterworth et al., PDF4LHC recommendations for LHC Run II, J. Phys. G 43 (2016) 023001 [arXiv:1510.03865] [INSPIRE].
S. Carrazza, J.I. Latorre, J. Rojo and G. Watt, A compression algorithm for the combination of PDF sets, Eur. Phys. J. C 75 (2015) 474 [arXiv:1504.06469] [INSPIRE].
NNPDF collaboration, R.D. Ball et al., Parton distributions for the LHC Run II, JHEP 04 (2015) 040 [arXiv:1410.8849] [INSPIRE].
L.A. Harland-Lang, A.D. Martin, P. Motylinski and R.S. Thorne, Parton distributions in the LHC era: MMHT 2014 PDFs, Eur. Phys. J. C 75 (2015) 204 [arXiv:1412.3989] [INSPIRE].
S. Dulat et al., New parton distribution functions from a global analysis of quantum chromodynamics, Phys. Rev. D 93 (2016) 033006 [arXiv:1506.07443] [INSPIRE].
M. 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] [INSPIRE].
J. Guasch, P. Hafliger and M. Spira, MSSM Higgs decays to bottom quark pairs revisited, Phys. Rev. D 68 (2003) 115001 [hep-ph/0305101] [INSPIRE].
S. Dawson, C.B. Jackson, L. Reina and D. Wackeroth, Higgs production in association with bottom quarks at hadron colliders, Mod. Phys. Lett. A 21 (2006) 89 [hep-ph/0508293] [INSPIRE].
ATLAS collaboration, Search for resonances in diphoton events with the ATLAS detector at \( \sqrt{s}=13 \) TeV, ATLAS-CONF-2016-018 (2016).
CMS collaboration, Search for new physics in high mass diphoton events in 3.3 fb−1 of proton-proton collisions at \( \sqrt{s}=13 \) TeV and combined interpretation of searches at 8 TeV and 13 TeV, CMS-PAS-EXO-16-018 (2016).
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Bonvini, M., Papanastasiou, A.S. & Tackmann, F.J. Matched predictions for the \( b\overline{b}H \) cross section at the 13 TeV LHC. J. High Energ. Phys. 2016, 53 (2016). https://doi.org/10.1007/JHEP10(2016)053
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DOI: https://doi.org/10.1007/JHEP10(2016)053