Fine-tuning in the 2HDM
The Two-Higgs Doublet Model (2HDM) is one of the most popular and natural extensions of the Higgs sector; but it has two potential fine-tuning problems, related to the electroweak (EW) breaking and the requirement of alignment with the SM Higgs boson. We have quantified the fine-tunings obtaining an...
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| Published in | The European physical journal. C, Particles and fields Vol. 82; no. 10; pp. 1 - 21 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
01.10.2022
Springer Springer Nature B.V SpringerOpen |
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| Online Access | Get full text |
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| Abstract | The Two-Higgs Doublet Model (2HDM) is one of the most popular and natural extensions of the Higgs sector; but it has two potential fine-tuning problems, related to the electroweak (EW) breaking and the requirement of alignment with the SM Higgs boson. We have quantified the fine-tunings obtaining analytical expressions, both in terms of the initial 2HDM parameters and the physical ones (masses, mixing angles, etc.). We also provide simple approximate expressions. We have taken into account that the fine-tunings are not independent and removed the “double counting” by projecting the variations of the alignment onto the constant-
v
2
hypersurface. The EW and the alignment fine-tunings become severe in different, even opposite, regions of the parameter space, namely in the regimes of large and small extra-Higgs masses, respectively; emerging an intermediate region,
500
GeV
∼
<
{
m
H
,
m
A
,
m
H
±
}
∼
<
700
GeV
, where both are acceptably small. We also discuss a remarkable trend that is not obvious at first glance. Namely, for large
tan
β
both the EW and the alignment fine-tunings become mitigated. In consequence, the 2HDM becomes quite natural for
tan
β
≥
O
(
10
)
, even if
m
H
,
m
A
,
m
H
±
are as large as 1500 GeV. We explain why this is not the case for the 2HDM stemming from supersymmetry. We have illustrated all these trends by numerically analyzing several representative scenarios. |
|---|---|
| AbstractList | The Two-Higgs Doublet Model (2HDM) is one of the most popular and natural extensions of the Higgs sector; but it has two potential fine-tuning problems, related to the electroweak (EW) breaking and the requirement of alignment with the SM Higgs boson. We have quantified the fine-tunings obtaining analytical expressions, both in terms of the initial 2HDM parameters and the physical ones (masses, mixing angles, etc.). We also provide simple approximate expressions. We have taken into account that the fine-tunings are not independent and removed the "double counting" by projecting the variations of the alignment onto the constant- [Formula omitted] hypersurface. The EW and the alignment fine-tunings become severe in different, even opposite, regions of the parameter space, namely in the regimes of large and small extra-Higgs masses, respectively; emerging an intermediate region, [Formula omitted], where both are acceptably small. We also discuss a remarkable trend that is not obvious at first glance. Namely, for large [Formula omitted] both the EW and the alignment fine-tunings become mitigated. In consequence, the 2HDM becomes quite natural for [Formula omitted], even if [Formula omitted] are as large as 1500 GeV. We explain why this is not the case for the 2HDM stemming from supersymmetry. We have illustrated all these trends by numerically analyzing several representative scenarios. Abstract The Two-Higgs Doublet Model (2HDM) is one of the most popular and natural extensions of the Higgs sector; but it has two potential fine-tuning problems, related to the electroweak (EW) breaking and the requirement of alignment with the SM Higgs boson. We have quantified the fine-tunings obtaining analytical expressions, both in terms of the initial 2HDM parameters and the physical ones (masses, mixing angles, etc.). We also provide simple approximate expressions. We have taken into account that the fine-tunings are not independent and removed the “double counting” by projecting the variations of the alignment onto the constant- $$v^2$$ v 2 hypersurface. The EW and the alignment fine-tunings become severe in different, even opposite, regions of the parameter space, namely in the regimes of large and small extra-Higgs masses, respectively; emerging an intermediate region, $$500~{\textrm{GeV}} {\mathop {{}_\sim }\limits ^{<}}\{m_H, m_A, m_{H^\pm }\} {\mathop {{}_\sim }\limits ^{<}}700~{\textrm{GeV}}$$ 500 GeV ∼ < { m H , m A , m H ± } ∼ < 700 GeV , where both are acceptably small. We also discuss a remarkable trend that is not obvious at first glance. Namely, for large $$\tan \beta $$ tan β both the EW and the alignment fine-tunings become mitigated. In consequence, the 2HDM becomes quite natural for $$\tan \beta \ge {\mathcal {O}} (10)$$ tan β ≥ O ( 10 ) , even if $$m_H, m_A, m_{H^\pm }$$ m H , m A , m H ± are as large as 1500 GeV. We explain why this is not the case for the 2HDM stemming from supersymmetry. We have illustrated all these trends by numerically analyzing several representative scenarios. Abstract The Two-Higgs Doublet Model (2HDM) is one of the most popular and natural extensions of the Higgs sector; but it has two potential fine-tuning problems, related to the electroweak (EW) breaking and the requirement of alignment with the SM Higgs boson. We have quantified the fine-tunings obtaining analytical expressions, both in terms of the initial 2HDM parameters and the physical ones (masses, mixing angles, etc.). We also provide simple approximate expressions. We have taken into account that the fine-tunings are not independent and removed the “double counting” by projecting the variations of the alignment onto the constant- $$v^2$$ v 2 hypersurface. The EW and the alignment fine-tunings become severe in different, even opposite, regions of the parameter space, namely in the regimes of large and small extra-Higgs masses, respectively; emerging an intermediate region, $$500~{\textrm{GeV}} {\mathop {{}_\sim }\limits ^{<}}\{m_H, m_A, m_{H^\pm }\} {\mathop {{}_\sim }\limits ^{<}}700~{\textrm{GeV}}$$ 500 GeV ∼ < { m H , m A , m H ± } ∼ < 700 GeV , where both are acceptably small. We also discuss a remarkable trend that is not obvious at first glance. Namely, for large $$\tan \beta $$ tan β both the EW and the alignment fine-tunings become mitigated. In consequence, the 2HDM becomes quite natural for $$\tan \beta \ge {\mathcal {O}} (10)$$ tan β ≥ O ( 10 ) , even if $$m_H, m_A, m_{H^\pm }$$ m H , m A , m H ± are as large as 1500 GeV. We explain why this is not the case for the 2HDM stemming from supersymmetry. We have illustrated all these trends by numerically analyzing several representative scenarios. The Two-Higgs Doublet Model (2HDM) is one of the most popular and natural extensions of the Higgs sector; but it has two potential fine-tuning problems, related to the electroweak (EW) breaking and the requirement of alignment with the SM Higgs boson. We have quantified the fine-tunings obtaining analytical expressions, both in terms of the initial 2HDM parameters and the physical ones (masses, mixing angles, etc.). We also provide simple approximate expressions. We have taken into account that the fine-tunings are not independent and removed the “double counting” by projecting the variations of the alignment onto the constant-v2 hypersurface. The EW and the alignment fine-tunings become severe in different, even opposite, regions of the parameter space, namely in the regimes of large and small extra-Higgs masses, respectively; emerging an intermediate region, 500GeV∼<{mH,mA,mH±}∼<700GeV, where both are acceptably small. We also discuss a remarkable trend that is not obvious at first glance. Namely, for large tanβ both the EW and the alignment fine-tunings become mitigated. In consequence, the 2HDM becomes quite natural for tanβ≥O(10), even if mH,mA,mH± are as large as 1500 GeV. We explain why this is not the case for the 2HDM stemming from supersymmetry. We have illustrated all these trends by numerically analyzing several representative scenarios. The Two-Higgs Doublet Model (2HDM) is one of the most popular and natural extensions of the Higgs sector; but it has two potential fine-tuning problems, related to the electroweak (EW) breaking and the requirement of alignment with the SM Higgs boson. We have quantified the fine-tunings obtaining analytical expressions, both in terms of the initial 2HDM parameters and the physical ones (masses, mixing angles, etc.). We also provide simple approximate expressions. We have taken into account that the fine-tunings are not independent and removed the “double counting” by projecting the variations of the alignment onto the constant- v 2 hypersurface. The EW and the alignment fine-tunings become severe in different, even opposite, regions of the parameter space, namely in the regimes of large and small extra-Higgs masses, respectively; emerging an intermediate region, 500 GeV ∼ < { m H , m A , m H ± } ∼ < 700 GeV , where both are acceptably small. We also discuss a remarkable trend that is not obvious at first glance. Namely, for large tan β both the EW and the alignment fine-tunings become mitigated. In consequence, the 2HDM becomes quite natural for tan β ≥ O ( 10 ) , even if m H , m A , m H ± are as large as 1500 GeV. We explain why this is not the case for the 2HDM stemming from supersymmetry. We have illustrated all these trends by numerically analyzing several representative scenarios. |
| ArticleNumber | 950 |
| Audience | Academic |
| Author | Casas, J. A. Bernal, A. Moreno, J. M. |
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| CitedBy_id | crossref_primary_10_1007_JHEP04_2023_082 |
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| Snippet | The Two-Higgs Doublet Model (2HDM) is one of the most popular and natural extensions of the Higgs sector; but it has two potential fine-tuning problems,... Abstract The Two-Higgs Doublet Model (2HDM) is one of the most popular and natural extensions of the Higgs sector; but it has two potential fine-tuning... Abstract The Two-Higgs Doublet Model (2HDM) is one of the most popular and natural extensions of the Higgs sector; but it has two potential fine-tuning... |
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| Title | Fine-tuning in the 2HDM |
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