Maximum value of the spin-independent cross section in the 2HDM+a
Abstract We investigate the maximum value of the spin-independent cross section (σSI) in a dark matter (DM) model called the two-Higgs doublet model + a (2HDM+a). This model can explain the measured value of the DM energy density by the freeze-out mechanism. Also, σSI is suppressed by the momentum t...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2020)114 |
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| author | Tomohiro Abe Motoko Fujiwara Junji Hisano Yutaro Shoji |
| author_facet | Tomohiro Abe Motoko Fujiwara Junji Hisano Yutaro Shoji |
| author_sort | Tomohiro Abe |
| collection | DOAJ |
| description | Abstract We investigate the maximum value of the spin-independent cross section (σSI) in a dark matter (DM) model called the two-Higgs doublet model + a (2HDM+a). This model can explain the measured value of the DM energy density by the freeze-out mechanism. Also, σSI is suppressed by the momentum transfer at the tree level, and loop diagrams give the leading contribution to it. The model prediction of σSI highly depends on values of c1 and c2 that are the quartic couplings between the gauge singlet CP-odd state (a0) and Higgs doublet fields (H1 and H2), c 1 a 0 2 H 1 † H 1 and c 2 a 0 2 H 2 † H 2 $$ {c}_1{a}_0^2{H}_1^{\dagger }{H}_1\kern0.33em and\kern0.33em {c}_2{a}_0^2{H}_2^{\dagger }{H}_2 $$ . We discuss the upper and lower bounds on c1 and c2 by studying the stability of the electroweak vacuum, the condition for the potential bounded from the below, and the perturbative unitarity. We find that the condition for the stability of the electroweak vacuum gives upper bounds on c1 and c2. The condition for the potential to be bounded from below gives lower bounds on c1 and c2. It also constrains the mixing angle between the two CP-odd states. The perturbative unitarity bound gives the upper bound on the Yukawa coupling between the dark matter and a0 and the quartic coupling of a0. Under these theoretical constraints, we find that the maximum value of the σSI is ∼ 5 × 10−47 cm2 for mA = 600 GeV, and the LZ and XENONnT experiments can see the DM signal predicted in this model near future. |
| format | Article |
| id | doaj-art-51cac53dd10447a7a1d3755428dffb7c |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-51cac53dd10447a7a1d3755428dffb7c2025-01-26T12:11:03ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020112210.1007/JHEP01(2020)114Maximum value of the spin-independent cross section in the 2HDM+aTomohiro Abe0Motoko Fujiwara1Junji Hisano2Yutaro Shoji3Institute for Advanced Research, Nagoya UniversityDepartment of Physics, Nagoya UniversityKobayashi-Maskawa Institute for the Origin of Particles and the Universe, Nagoya UniversityKobayashi-Maskawa Institute for the Origin of Particles and the Universe, Nagoya UniversityAbstract We investigate the maximum value of the spin-independent cross section (σSI) in a dark matter (DM) model called the two-Higgs doublet model + a (2HDM+a). This model can explain the measured value of the DM energy density by the freeze-out mechanism. Also, σSI is suppressed by the momentum transfer at the tree level, and loop diagrams give the leading contribution to it. The model prediction of σSI highly depends on values of c1 and c2 that are the quartic couplings between the gauge singlet CP-odd state (a0) and Higgs doublet fields (H1 and H2), c 1 a 0 2 H 1 † H 1 and c 2 a 0 2 H 2 † H 2 $$ {c}_1{a}_0^2{H}_1^{\dagger }{H}_1\kern0.33em and\kern0.33em {c}_2{a}_0^2{H}_2^{\dagger }{H}_2 $$ . We discuss the upper and lower bounds on c1 and c2 by studying the stability of the electroweak vacuum, the condition for the potential bounded from the below, and the perturbative unitarity. We find that the condition for the stability of the electroweak vacuum gives upper bounds on c1 and c2. The condition for the potential to be bounded from below gives lower bounds on c1 and c2. It also constrains the mixing angle between the two CP-odd states. The perturbative unitarity bound gives the upper bound on the Yukawa coupling between the dark matter and a0 and the quartic coupling of a0. Under these theoretical constraints, we find that the maximum value of the σSI is ∼ 5 × 10−47 cm2 for mA = 600 GeV, and the LZ and XENONnT experiments can see the DM signal predicted in this model near future.https://doi.org/10.1007/JHEP01(2020)114Beyond Standard ModelHiggs Physics |
| spellingShingle | Tomohiro Abe Motoko Fujiwara Junji Hisano Yutaro Shoji Maximum value of the spin-independent cross section in the 2HDM+a Journal of High Energy Physics Beyond Standard Model Higgs Physics |
| title | Maximum value of the spin-independent cross section in the 2HDM+a |
| title_full | Maximum value of the spin-independent cross section in the 2HDM+a |
| title_fullStr | Maximum value of the spin-independent cross section in the 2HDM+a |
| title_full_unstemmed | Maximum value of the spin-independent cross section in the 2HDM+a |
| title_short | Maximum value of the spin-independent cross section in the 2HDM+a |
| title_sort | maximum value of the spin independent cross section in the 2hdm a |
| topic | Beyond Standard Model Higgs Physics |
| url | https://doi.org/10.1007/JHEP01(2020)114 |
| work_keys_str_mv | AT tomohiroabe maximumvalueofthespinindependentcrosssectioninthe2hdma AT motokofujiwara maximumvalueofthespinindependentcrosssectioninthe2hdma AT junjihisano maximumvalueofthespinindependentcrosssectioninthe2hdma AT yutaroshoji maximumvalueofthespinindependentcrosssectioninthe2hdma |