Abstract

Version 1.6.0 of the code SusHi is presented. Concerning inclusive CP-even Higgs production in gluon fusion, the following new features with respect to previous versions have been implemented: expansion of the partonic cross section in the soft limit, i.e. around x=MH2∕sˆ→1; N3LO QCD corrections in terms of the soft expansion; top-quark mass suppressed terms through NNLO; matching to the cross section at x→0 through N3LO. For CP-even and -odd scalars, an efficient evaluation of the renormalization-scale dependence is included, and effects of dimension-5 operators can be studied, which we demonstrate for the SM Higgs boson and for a CP-even scalar with a mass of 750GeV. In addition, as a generalization of the previously available bb̄→H cross section, SusHi_1.6.0 provides the cross section for charged and neutral Higgs production in the annihilation of arbitrary heavy quarks. At fixed order in perturbation theory, SusHi thus allows to obtain Higgs cross-section predictions in different models to the highest precision known today. For the SM Higgs boson of MH=125GeV, SusHi yields 48.28 pb for the gluon-fusion cross section at the LHC at 13TeV. Simultaneously, SusHi provides the renormalization-scale uncertainty of ±1.97pb. New version program summaryProgram title:SusHi.Program Files doi:http://dx.doi.org/10.17632/3bb3z4k9hp.1Licensing provisions: GNU General Public License 3 (GPL).Programming language: Fortran 77.Journal Reference of previous version: Comp. Phys. Comm. 184, Issue 6 (2013) 1605–1617Does the new version supersede the previous version?: Yes. The new version also includes all features of previous versions.Reasons for the new version:Compared to version 1.0.0 the newest SusHi version 1.6.0 now supports the 2-Higgs-Doublet-Model (2HDM) and the next-to-minimal supersymmetric standard model (NMSSM). The effects of dimension-5 operators in the calculation of the gluon-fusion cross section can be studied. It allows to calculate the Higgs production cross section from the annihilation of heavy quarks and includes various new features which improve the gluon-fusion cross-section prediction and the associated uncertainty estimate. Links to external codes 2HDMC, MoRe-SusHi and MadGraph5_aMC@NLO can be established.Summary of revisions:Inclusion of 2HDM, NMSSM; Improvements in the prediction of the gluon-fusion cross section: Top-quark mass terms up to next-to-next-to leading order, soft expansion and next-to-next-to-next-to leading order corrections in the heavy top-quark effective theory, top squark corrections up to next-to-next-to leading order; dimension-5 operators; analytic determination of the renormalization scale dependence. Inclusion of heavy-quark annihilation cross sections. Link to MoRe-SusHi for the calculation of resummed transverse-momentum distributions.Nature of problem:Calculation of inclusive and exclusive Higgs production cross sections in gluon fusion and heavy-quark annihilation in the SM and extended Higgs sectors through next-to-leading order QCD, including (next-to-)next-to-next-to-leading order top-(s)quark contributions and electroweak effects.Solution method: Numerical Monte Carlo integration.

Highlights

  • Since the year 2012, an important task of particle physics is to fully measure the properties of the Higgs boson with mass MH ≈ 125 GeV discovered at the Large Hadron Collider (LHC) [1,2]

  • One observes that the μF-dependent terms of σat next-to-leading order (NLO) are polynomial in x, which means that they are identical to their soft expansion for a = 0 once it is taken to sufficiently high order (N = 3, to be specific)

  • We presented the new features implemented in version 1.6.0 of the code SusHi

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Summary

Introduction

Since the year 2012, an important task of particle physics is to fully measure the properties of the Higgs boson with mass MH ≈ 125 GeV discovered at the Large Hadron Collider (LHC) [1,2]. SusHi_1.6.0 includes top-quark mass effects to the gluon-fusion cross section of a CP-even Higgs boson in the heavytop limit up to NNLO, implemented through an expansion in inverse powers of the top-quark mass as described in Refs. In the Appendix we present a collection of example input blocks of SusHi, which contain example settings for the various input entries introduced in previous and the newest release

The program SusHi
Higgs production through gluon fusion
Soft expansion
N3LO terms
Top-quark mass effects
Renormalization scale dependence
Effective Lagrangian—dimension-5 operators
Heavy-quark annihilation
Numerical results
Soft expansion up to N3LO
Top-quark mass effects through NNLO and matching to the high-energy limit
Cross section prediction for the SM Higgs boson and scale dependence
Dimension 5 operators
Findings
Conclusions
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