The dark phases of the N2HDM

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Springer

Received: April 17, Revised: July 9, Accepted: July 20, Published: August 19,

2020 2020 2020 2020

Isabell Engeln,a Pedro Ferreira,b,c M. Margarete M¨ uhlleitner,a Rui Santosb,c and Jonas Wittbrodtd a

Institute for Theoretical Physics, Karlsruhe Institute of Technology, 76128 Karlsruhe, Germany b Centro de F´ısica Te´ orica e Computacional, Faculdade de Ciˆencias, Universidade de Lisboa, Campo Grande, Edif´ıcio C8 1749-016 Lisboa, Portugal c ISEL — Instituto Superior de Engenharia de Lisboa, Instituto Polit´ecnico de Lisboa, 1959-007 Lisboa, Portugal d Department of Astronomy and Theoretical Physics, Lund University, S¨ olvegatan 14A, 223 62 Lund, Sweden

E-mail: [email protected], [email protected], [email protected], [email protected], [email protected] Abstract: We discuss the dark phases of the Next-to-2-Higgs Doublet model. The model is an extension of the Standard Model with an extra doublet and an extra singlet that has four distinct CP-conserving phases, three of which provide dark matter candidates. We discuss in detail the vacuum structure of the different phases and the issue of stability at tree-level of each phase. Taking into account the most relevant experimental and theoretical constraints, we found that there are combinations of measurements at the Large Hadron Collider that could single out a specific phase. The measurement of h125 → γγ together with the discovery of a new scalar with specific rates to τ + τ − or γγ could exclude some phases and point to a specific phase. Keywords: Beyond Standard Model, Higgs Physics ArXiv ePrint: 2004.05382

c The Authors. Open Access, Article funded by SCOAP3 .

https://doi.org/10.1007/JHEP08(2020)085

JHEP08(2020)085

The dark phases of the N2HDM

Contents 1 Introduction N2HDM The broken phase (BP) The dark doublet phase (DDP) The dark singlet phase (DSP) The fully dark phase (FDP)

3 6 7 9 10

3 Neutral vacua stability

10

4 Parameter scans and constraints

15

5 The different phases at the LHC and future colliders 5.1 h125 coupling measurements 5.2 Search for new scalars

18 18 20

6 Conclusions

22

A Dark doublet phase A.1 Triple-Higgs couplings

23 24

B Dark singlet phase B.1 Triple-Higgs couplings

24 25

1

Introduction

After the discovery of the Higgs boson [1, 2] a large number of extensions of the Standard Model (SM) were explored at the Large Hadron Collider (LHC) by searching both for new particles and for deviations in the Higgs couplings to the remaining SM particles. However, not only are there no direct hints of new physics so far but all Higgs rates are in very good agreement with the SM predictions. Still, there is clear evidence of new physics, and in particular the existence of Dark Matter (DM) which will be the subject of the particular extension of the SM to be discussed in this work. The existence of DM manifests itself in gravitational effects to baryon acoustic oscillations in the cosmic microwave background radiation [3], which has shown that the relic abundance of DM in the Universe