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Transverse momentum resummation for Higgs production via gluon fusion in the MSSM

Robert V. Harlander, Hendrik Mantler, Marius Wiesemann

TL;DR

The paper addresses the need for precise, mass-dependent predictions of the Higgs transverse-momentum distribution in gluon-fusion production within the MSSM, where bottom-quark loops can be enhanced and significantly affect the spectrum.It develops a theoretical framework for transverse-momentum resummation at NLO+NLL in the MSSM, employing an impact-parameter (b-space) formalism with process-specific coefficient functions and Sudakov factors, and introduces a pragmatic scale-setting procedure for separate bottom-related contributions.Key findings show that bottom-quark loops can dominate in many MSSM scenarios, especially at large tanβ, leading to a softer p_T spectrum for heavy and pseudoscalar Higgs bosons, while the light Higgs remains SM-like; the approach achieves stable matching to fixed-order results and aligns with other resummation-based methods when scales are chosen consistently.The work provides a publicly available tool (MoRe-SusHi) for accurate MSSM Higgs p_T predictions and sets the stage for future refinements, including combination with NNLO results in the heavy-top limit and inclusion of bottom-annihilation channels.

Abstract

The resummed transverse momentum distribution of supersymmetric Higgs bosons produced through gluon fusion at NLO+NLL is presented, including the exact quark and squark mass dependences. Considering various MSSM scenarios, we compare our results to previous ones within the POWHEG approach. We analyze the impact of the bottom loop which becomes the dominant contribution to the gluon fusion cross section for a wide range of the parameter space for the pseudo-scalar and heavy Higgs.

Transverse momentum resummation for Higgs production via gluon fusion in the MSSM

TL;DR

The paper addresses the need for precise, mass-dependent predictions of the Higgs transverse-momentum distribution in gluon-fusion production within the MSSM, where bottom-quark loops can be enhanced and significantly affect the spectrum.It develops a theoretical framework for transverse-momentum resummation at NLO+NLL in the MSSM, employing an impact-parameter (b-space) formalism with process-specific coefficient functions and Sudakov factors, and introduces a pragmatic scale-setting procedure for separate bottom-related contributions.Key findings show that bottom-quark loops can dominate in many MSSM scenarios, especially at large tanβ, leading to a softer p_T spectrum for heavy and pseudoscalar Higgs bosons, while the light Higgs remains SM-like; the approach achieves stable matching to fixed-order results and aligns with other resummation-based methods when scales are chosen consistently.The work provides a publicly available tool (MoRe-SusHi) for accurate MSSM Higgs p_T predictions and sets the stage for future refinements, including combination with NNLO results in the heavy-top limit and inclusion of bottom-annihilation channels.

Abstract

The resummed transverse momentum distribution of supersymmetric Higgs bosons produced through gluon fusion at NLO+NLL is presented, including the exact quark and squark mass dependences. Considering various MSSM scenarios, we compare our results to previous ones within the POWHEG approach. We analyze the impact of the bottom loop which becomes the dominant contribution to the gluon fusion cross section for a wide range of the parameter space for the pseudo-scalar and heavy Higgs.

Paper Structure

This paper contains 13 sections, 19 equations, 13 figures, 2 tables.

Table of Contents

  1. Introduction
  2. Transverse momentum resummation
  3. Resummation and Matching
  4. The resummed cross section
  5. Components to the matched-resummed cross section
  6. Choosing the resummation scale
  7. Input parameters
  8. .9 MSSM parameter points
  9. Theoretical uncertainties
  10. Results
  11. Conclusions
  12. Acknowledgements.
  13. $g^{(n)}$-functions at .9 NLL

Figures (13)

  • Figure 1: A sample of Feynman diagrams for $gg\rightarrow \phi$ contributing to the .9 NLO cross section; (a-c) .9 LO, (d-g) virtual and (h-i) real corrections. The graphical notation for the lines is: solid straight $\widehat{=}$ quark; spiraled $\widehat{=}$ gluon; dashed $\widehat{=}$ scalar (squark or Higgs); spiraled with line $\widehat{=}$ gluino.
  • Figure 2: Large $p_T$-behavior of the cross section for a .9 CP-even Higgs boson with $m_{h}=125.6$ GeV. The different lines correspond to various choices of the resummation scale. (a) Pure top quark, (b) pure bottom quark, and (c) top-bottom interference contribution. The vertical line marks the value of the Higgs mass.
  • Figure 3: Same as Fig. \ref{['fig:qres']}, but for $m_{H}=300$ GeV.
  • Figure 4: Same as Fig. \ref{['fig:qres']}, but for $m_{H}=800$ GeV.
  • Figure 5: The $p_T$-shape for the bottom-quark (red, solid) and the top-bottom interference contribution (green, dotted), normalized to the top-contribution (black, dash-double dotted). Resummation scales are set as in Tab. \ref{['tab:Q0']}. Also shown are the respective ratios for the .9 NLO fixed-order results. (a-c) $m_{\phi}=125.6/300/800$ GeV.
  • ...and 8 more figures