Abstract

Since no direct signs of new physics have been observed so far indirect searches in the Higgs sector have become increasingly important. With the discovered Higgs boson behaving very standard model (SM)-like, however, indirect new physics manifestations are in general expected to be small. On the theory side, this makes precision predictions for the Higgs parameters and observables indispensable. In this paper, we provide in the framework of the CP-violating next-to-minimal supersymmetric extension of the SM (NMSSM) the complete next-to-leading order (SUSY-)electroweak corrections to the neutral Higgs boson decays that are on-shell and non-loop induced. We also investigate possible gauge-dependence issues in the decays of light Higgs bosons into fermion pairs. Together with the also provided SUSY-QCD corrections to colored final states, the newly calculated SUSY-electroweak corrections are implemented in the Fortran code NMSSMCALC which already includes the state-of-the art QCD corrections. The new code is called NMSSMCALCEW. This way we provide the NMSSM Higgs boson decays and branching ratios at presently highest possible precision and thereby contribute to the endeavor of searching for New Physics at present and future colliders.

Highlights

  • In this paper, we concentrate on the next-to-minimal supersymmetric extension of the standard model (SM) (NMSSM) Higgs boson decays

  • We provide in the framework of the CP-violating next-to-minimal supersymmetric extension of the SM (NMSSM) the complete next-to-leading order (SUSY-)electroweak corrections to the neutral Higgs boson decays that are on-shell and non-loop induced

  • In order to compare the results obtained in this paper with the old implementation in NMSSMCALC using the tree-level coupling together with the loop-corrected rotation matrix Rl, we show in Fig. 7a the relative change BR(Hhd W W ) of the branching ratio into W W between the old and the new implementation including the next-toleading order (NLO)-EW vertex corrections as described in Sect. 4.2 and the improvement with the ZH

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Summary

Introduction

We concentrate on the NMSSM Higgs boson decays. While the (SUSY-)QCD corrections can be taken over from the MSSM case with the appropriate modifications and a minimum of effort, this is not the case for the electroweak (EW) corrections. We compute, in the framework of the CP-violating NMSSM, the complete next-to-leading order (SUSY-)electroweak corrections to the neutral NMSSM Higgs boson decays into all tree-level induced SM final states, i.e. into fermion and massive gauge boson pairs, and into non-SM pairs, namely gauge and Higgs boson final states, chargino and neutralino pairs, and into squarks.. We have implemented our corrections in our original code NMSSMCALC [14], which calculates, based on a mixed OS-DR scheme, the NMSSM Higgs mass corrections and decays in both the CP-conserving and CPviolating case This way we provide the NMSSM Higgs boson decays and branching ratios at presently highest possible precision including the state-of-the-art (SUSY-)QCD and the computed (SUSY-)EW corrections. Explicit expressions of the counterterm couplings for the decays of neutral Higgs bosons into a squark pair are displayed in “Appendix A”

The NMSSM at tree level
The chargino and neutralino sector
In the Denner description
Re χk0 kk
The squark sector
Q 3 and δm
Loop-corrected Higgs boson masses and mixings
Loop-corrected neutralino and chargino masses
Loop-corrected squark masses and mixings
Higher-order corrections to the two-body decays of the neutral Higgs bosons
Hi fgg
Hi of the decaying
Higgs boson decays into a Z boson and a Higgs boson
Higgs boson decays into neutralinos and charginos
Higgs boson decays into squark pairs
Numerical results
Decays into SM fermion pairs
Decays into a massive gauge boson pair
Decays into a Z boson and a Higgs boson
Decays into charginos and neutralinos
Decays into a squark pair
Gauge-parameter dependence in the decay of the neutral Higgs into fermions
Conclusions
Findings
B The code NMSSMCALCEW
Full Text
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