Electroweak phase transition in two scalar singlet model with pNGB dark matter

Abstract We investigate the dynamics of the electroweak phase transition within an extended Standard Model framework that includes one real scalar (Φ) and one complex scalar (S), both of which are SM gauge singlets. The global U(1) symmetry is softly broken to a Z 3 $$ {\mathcal{Z}}_3 $$ symmetry by...

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Main Authors: Dilip Kumar Ghosh, Koustav Mukherjee, Shourya Mukherjee
Format: Article
Language:English
Published: SpringerOpen 2025-01-01
Series:Journal of High Energy Physics
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Online Access:https://doi.org/10.1007/JHEP01(2025)078
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author Dilip Kumar Ghosh
Koustav Mukherjee
Shourya Mukherjee
author_facet Dilip Kumar Ghosh
Koustav Mukherjee
Shourya Mukherjee
author_sort Dilip Kumar Ghosh
collection DOAJ
description Abstract We investigate the dynamics of the electroweak phase transition within an extended Standard Model framework that includes one real scalar (Φ) and one complex scalar (S), both of which are SM gauge singlets. The global U(1) symmetry is softly broken to a Z 3 $$ {\mathcal{Z}}_3 $$ symmetry by the S 3 term in the scalar potential. After this U(1) symmetry breaking, the imaginary component of the complex scalar (S) acts as a pseudo-Nambu-Goldstone boson (pNGB) dark matter candidate, naturally stabilized by the Z 2 $$ {\mathcal{Z}}_2 $$ symmetry of the scenario. Specially, the spontaneous breaking of the global U(1) symmetry to a discrete Z 3 $$ {\mathcal{Z}}_3 $$ subgroup can introduce effective cubic terms in the scalar potential, which facilitates a strong first-order phase transition. We analyze both single-step and multi-step first-order phase transitions, identifying the parameter space that satisfies the dark matter relic density constraints, complies with all relevant experimental constraints, and exhibits a strong first-order electroweak phase transition. The interplay of these criteria significantly restricts the model parameter space, often leading to an underabundant relic density. Moreover, we delve into the gravitational wave signatures associated with this framework, offering valuable insights that complement traditional dark matter direct and indirect detection methods.
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spelling doaj-art-7e878ba4b5af45778ee01dd1d2beda522025-01-19T12:06:51ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025114210.1007/JHEP01(2025)078Electroweak phase transition in two scalar singlet model with pNGB dark matterDilip Kumar Ghosh0Koustav Mukherjee1Shourya Mukherjee2School of Physical Sciences, Indian Association for Cultivation of ScienceSchool of Physical Sciences, Indian Association for Cultivation of ScienceDepartment of Physics and Astronomy, University of British ColumbiaAbstract We investigate the dynamics of the electroweak phase transition within an extended Standard Model framework that includes one real scalar (Φ) and one complex scalar (S), both of which are SM gauge singlets. The global U(1) symmetry is softly broken to a Z 3 $$ {\mathcal{Z}}_3 $$ symmetry by the S 3 term in the scalar potential. After this U(1) symmetry breaking, the imaginary component of the complex scalar (S) acts as a pseudo-Nambu-Goldstone boson (pNGB) dark matter candidate, naturally stabilized by the Z 2 $$ {\mathcal{Z}}_2 $$ symmetry of the scenario. Specially, the spontaneous breaking of the global U(1) symmetry to a discrete Z 3 $$ {\mathcal{Z}}_3 $$ subgroup can introduce effective cubic terms in the scalar potential, which facilitates a strong first-order phase transition. We analyze both single-step and multi-step first-order phase transitions, identifying the parameter space that satisfies the dark matter relic density constraints, complies with all relevant experimental constraints, and exhibits a strong first-order electroweak phase transition. The interplay of these criteria significantly restricts the model parameter space, often leading to an underabundant relic density. Moreover, we delve into the gravitational wave signatures associated with this framework, offering valuable insights that complement traditional dark matter direct and indirect detection methods.https://doi.org/10.1007/JHEP01(2025)078Models for Dark MatterPhase Transitions in the Early UniverseSpecific BSM Phenomenology
spellingShingle Dilip Kumar Ghosh
Koustav Mukherjee
Shourya Mukherjee
Electroweak phase transition in two scalar singlet model with pNGB dark matter
Journal of High Energy Physics
Models for Dark Matter
Phase Transitions in the Early Universe
Specific BSM Phenomenology
title Electroweak phase transition in two scalar singlet model with pNGB dark matter
title_full Electroweak phase transition in two scalar singlet model with pNGB dark matter
title_fullStr Electroweak phase transition in two scalar singlet model with pNGB dark matter
title_full_unstemmed Electroweak phase transition in two scalar singlet model with pNGB dark matter
title_short Electroweak phase transition in two scalar singlet model with pNGB dark matter
title_sort electroweak phase transition in two scalar singlet model with pngb dark matter
topic Models for Dark Matter
Phase Transitions in the Early Universe
Specific BSM Phenomenology
url https://doi.org/10.1007/JHEP01(2025)078
work_keys_str_mv AT dilipkumarghosh electroweakphasetransitionintwoscalarsingletmodelwithpngbdarkmatter
AT koustavmukherjee electroweakphasetransitionintwoscalarsingletmodelwithpngbdarkmatter
AT shouryamukherjee electroweakphasetransitionintwoscalarsingletmodelwithpngbdarkmatter