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Current bounds on the type-Z Z3 three-Higgs-doublet model

Rafael Boto, Jorge C. Romão, and João P. Silva
Phys. Rev. D 104, 095006 – Published 10 November 2021
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  • INTRODUCTION
  • THE Z3 3HDM MODEL
  • CONSTRAINTS ON THE PARAMETER SPACE
  • DECAYS OF h125 IN THE Z3 3HDM
  • CALCULATION OF THE BR(B→Xsγ)
  • IMPACT OF b→sγ AND HB5 ON THE Z3 3HDM…
  • GOING BEYOND PERFECT ALIGNMENT
  • ILLUSTRATIVE BENCHMARK POINTS
  • CONCLUSIONS
  • ACKNOWLEDGMENTS
  • APPENDICES
    • References

    Abstract

    Type-Z models, where charged leptons, up type quarks, and down type quarks each couple to a different scalar, are only possible when there are three or more Higgs doublets. We consider the type-Z three-Higgs-doublet model imposed by a softly broken Z3 symmetry. We take into account all theoretical and experimental constraints, including perturbative unitarity and bounded from below conditions that we develop here. Since there can be cancellations between the two charged Higgs in B→Xsγ (and in h→γγ), the lower bounds obtained on the charged Higgs masses are alleviated. We find regions of parameter space where both charged scalars can be relatively light. We also discuss in detail the important physical differences between exact alignment and approximate alignment, and present some useful benchmark points.

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    • Received 27 July 2021
    • Accepted 7 October 2021

    DOI:https://doi.org/10.1103/PhysRevD.104.095006

    Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

    Published by the American Physical Society

    Physics Subject Headings (PhySH)

    1. Research Areas
    Extensions of Higgs sector
    Particles & Fields

    Authors & Affiliations

    Rafael Boto*, Jorge C. Romão†, and João P. Silva‡

    • Departamento de Física and CFTP, Instituto Superior Técnico Universidade de Lisboa, Avenida Rovisco Pais 1, 1049-001 Lisboa, Portugal

    • *rafael.boto@tecnico.ulisboa.pt
    • †jorge.romao@tecnico.ulisboa.pt
    • ‡jpsilva@cftp.ist.utl.pt

    Article Text

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    Issue

    Vol. 104, Iss. 9 — 1 November 2021

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    Images

    • Figure 1
      Figure 1

      Effect of the charged Higgs on the h125→γγ decay, with the definitions of Eq. (54). The green points passed all constraints including those coming from searches for extra scalars (incorporated in HB5), while the red points did not pass HB5 (see text for a discussion).

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    • Figure 2
      Figure 2

      Results of the simulation in the sin(α2−β2)−sin(α1−β1) plane. The color code is as in Fig. 1. The point at (0,0) corresponds to the alignment limit.

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    • Figure 3
      Figure 3

      Results in the μZZ−μγγ plane for the gluon fusion production channel. The color code is as in Fig. 1. In addition, black points correspond to the perfect alignment limit of Eq. (73) below.

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    • Figure 4
      Figure 4

      Results in the μττ−μγγ plane for all production channels. The color code is as in Fig. 3.

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    • Figure 5
      Figure 5

      Results in the μbb¯−μγγ plane for the gluon fusion production channel. The color code is as in Fig. 3.

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    • Figure 6
      Figure 6

      Results in the μZγ−μγγ plane for the gluon fusion production channel. The color code is as in Fig. 3.

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    • Figure 7
      Figure 7

      Enlarging the scanning region, taking γ2∈[−π/2,π/2] and varying β1. All other conditions in Eqs. (72)–(73) were kept. The dark green points passed all constraints including the constraints from searches of extra scalars incorporated into HB5, while the light green points did not pass HB5. Left panel: All points passing higgsbounds-5.9.1. Right panel: All points passing higgsbounds-5.7.1. See text for a discussion on the physics behind the difference.

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    • Figure 8
      Figure 8

      All points satisfy Eq. (73). Left panel: All points passed all constraints except for HB5. The blue points satisfy Eq. (75). The red points are for tanβ1,2>0.5 and the green points are for tanβ1,2>1. Right panel: same color code as in the left panel but only showing points surviving after requiring HB5, which implements the LHC searches for heavier scalars.

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    • Figure 9
      Figure 9

      All points are within 1% of the perfect alignment of Eq. (73). Left panel: all points passed all constraints except for HB5. The blue points satisfy Eq. (75). The red points are for tanβ1,2>0.5 and the green points are for tanβ1,2>1. Right panel: same color code as in the left panel but only showing points surviving after requiring HB5, which implements the LHC searches for heavier scalars.

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    • Figure 10
      Figure 10

      All points are within 1%-10% of the perfect alignment of Eq. (73). Left panel: all points passed all constraints except for HB5. The blue points satisfy Eq. (75). The red points are for tanβ1,2>0.5 and the green points are for tanβ1,2>1. Right panel: same color code as in the left panel but only showing points surviving after requiring HB5, which implements the LHC searches for heavier scalars.

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    • Figure 11
      Figure 11

      Points with significant approximate cancellation of the charged Higgs contributions to both h→γγ (horizontal axis) and B→Xsγ (vertical), which pass all theoretical and experimental bounds, including HB5. Color code: cyan is perfect alignment, red means alignment within 1%, and blue means alignment within 10%. The blue box guides the eye to those points closest to (0,0).

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    • Figure 12
      Figure 12

      Most important BR’s for BP1. The black cross corresponds to the original BP in Table 1.

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    • Figure 13
      Figure 13

      Most important BR’s for BP2 (left panel) and BP3 (right panel). The black cross corresponds to the original BP in Table 1.

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    • Figure 14
      Figure 14

      Left panel: σ(pp→h2)×BR(h2→ττ) as function of the mh2. Parameters are as in Eq. (73), except that γ2∈[−π/2,π/2]. Points in cyan are points that pass all constraints before higgsbounds and in dark green after higgsbounds-5.7.1. In light green are the points in the interval γ2∈[π/6,π/3]. Right panel: the same but for higgsbounds-5.9.1.

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    • Figure 15
      Figure 15

      Graphic of the functions fj defined in Eq. (b1) for varying γ2=−α3, with tanβ1=10 and tanβ2=2. Function f2 (f3) in black/solid (blue/dashed) line.

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