Muon (g − 2) and thermal WIMP DM in U 1 L μ − L τ $$ \textrm{U}{(1)}_{L_{\mu }-{L}_{\tau }} $$ models

Abstract The U 1 L μ − L τ $$ \textrm{U}{(1)}_{L_{\mu }-{L}_{\tau }} $$ model is anomaly-free with the Standard Model (SM) fermion content, and can make substantial contributions to the muon (g − 2) at the level of ∆a μ ∼ O(10) × 10 −10 for M Z ′ $$ {M}_{Z^{\prime }} $$ ∼ O(10 − 100) MeV and g X ∼ (...

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Main Authors: Seungwon Baek, Jongkuk Kim, P. Ko
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)014
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author Seungwon Baek
Jongkuk Kim
P. Ko
author_facet Seungwon Baek
Jongkuk Kim
P. Ko
author_sort Seungwon Baek
collection DOAJ
description Abstract The U 1 L μ − L τ $$ \textrm{U}{(1)}_{L_{\mu }-{L}_{\tau }} $$ model is anomaly-free with the Standard Model (SM) fermion content, and can make substantial contributions to the muon (g − 2) at the level of ∆a μ ∼ O(10) × 10 −10 for M Z ′ $$ {M}_{Z^{\prime }} $$ ∼ O(10 − 100) MeV and g X ∼ (4 − 8) × 10 −4. In this light Z′ region, it was claimed that the model can also incorporate thermal WIMP dark matter (DM) if M DM ∼ M Z ′ $$ {M}_{Z^{\prime }} $$ /2. This setup relies on DM particles annihilating into SM particles through a Z′-mediated s-channel. In this work, we show that this tight relationship between M Z ′ $$ {M}_{Z^{\prime }} $$ and M DM can be evaded or nullified both for scalar and spin-1/2 DM by considering the contributions from the dark Higgs boson (H 1). The dark Higgs boson plays an important role, not only because it gives mass to the dark photon but also because it introduces additional DM annihilation channels, including new final states such as H 1 H 1, Z′Z′, and Z′H 1. As a result, the model does not require a close mass correlation between the Z′ boson and dark matter M DM ~ M Z ′ $$ {M}_{Z^{\prime }} $$ /2 any longer, allowing for a broader range of mass possibilities for both scalar and fermionic dark matter types. We explore in great details various scenarios where the U(1) symmetry is either fully broken or partially remains as discrete symmetries, Z 2 or Z 3. This approach broadens the model’s capacity to accommodate various WIMP dark matter phenomena in the light Z′ region where the muon (g − 2) μ makes a sensitive probe of the model.
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spelling doaj-art-7dfbaa35ff054318b30c2a0ddfd6ab162025-01-19T12:07:47ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025112810.1007/JHEP01(2025)014Muon (g − 2) and thermal WIMP DM in U 1 L μ − L τ $$ \textrm{U}{(1)}_{L_{\mu }-{L}_{\tau }} $$ modelsSeungwon Baek0Jongkuk Kim1P. Ko2The Institute of Basic Science, Korea UniversitySchool of physics, Korea Institute for Advanced Study (KIAS)School of physics, Korea Institute for Advanced Study (KIAS)Abstract The U 1 L μ − L τ $$ \textrm{U}{(1)}_{L_{\mu }-{L}_{\tau }} $$ model is anomaly-free with the Standard Model (SM) fermion content, and can make substantial contributions to the muon (g − 2) at the level of ∆a μ ∼ O(10) × 10 −10 for M Z ′ $$ {M}_{Z^{\prime }} $$ ∼ O(10 − 100) MeV and g X ∼ (4 − 8) × 10 −4. In this light Z′ region, it was claimed that the model can also incorporate thermal WIMP dark matter (DM) if M DM ∼ M Z ′ $$ {M}_{Z^{\prime }} $$ /2. This setup relies on DM particles annihilating into SM particles through a Z′-mediated s-channel. In this work, we show that this tight relationship between M Z ′ $$ {M}_{Z^{\prime }} $$ and M DM can be evaded or nullified both for scalar and spin-1/2 DM by considering the contributions from the dark Higgs boson (H 1). The dark Higgs boson plays an important role, not only because it gives mass to the dark photon but also because it introduces additional DM annihilation channels, including new final states such as H 1 H 1, Z′Z′, and Z′H 1. As a result, the model does not require a close mass correlation between the Z′ boson and dark matter M DM ~ M Z ′ $$ {M}_{Z^{\prime }} $$ /2 any longer, allowing for a broader range of mass possibilities for both scalar and fermionic dark matter types. We explore in great details various scenarios where the U(1) symmetry is either fully broken or partially remains as discrete symmetries, Z 2 or Z 3. This approach broadens the model’s capacity to accommodate various WIMP dark matter phenomena in the light Z′ region where the muon (g − 2) μ makes a sensitive probe of the model.https://doi.org/10.1007/JHEP01(2025)014Models for Dark MatterNew Gauge InteractionsParticle Nature of Dark Matter
spellingShingle Seungwon Baek
Jongkuk Kim
P. Ko
Muon (g − 2) and thermal WIMP DM in U 1 L μ − L τ $$ \textrm{U}{(1)}_{L_{\mu }-{L}_{\tau }} $$ models
Journal of High Energy Physics
Models for Dark Matter
New Gauge Interactions
Particle Nature of Dark Matter
title Muon (g − 2) and thermal WIMP DM in U 1 L μ − L τ $$ \textrm{U}{(1)}_{L_{\mu }-{L}_{\tau }} $$ models
title_full Muon (g − 2) and thermal WIMP DM in U 1 L μ − L τ $$ \textrm{U}{(1)}_{L_{\mu }-{L}_{\tau }} $$ models
title_fullStr Muon (g − 2) and thermal WIMP DM in U 1 L μ − L τ $$ \textrm{U}{(1)}_{L_{\mu }-{L}_{\tau }} $$ models
title_full_unstemmed Muon (g − 2) and thermal WIMP DM in U 1 L μ − L τ $$ \textrm{U}{(1)}_{L_{\mu }-{L}_{\tau }} $$ models
title_short Muon (g − 2) and thermal WIMP DM in U 1 L μ − L τ $$ \textrm{U}{(1)}_{L_{\mu }-{L}_{\tau }} $$ models
title_sort muon g 2 and thermal wimp dm in u 1 l μ l τ textrm u 1 l mu l tau models
topic Models for Dark Matter
New Gauge Interactions
Particle Nature of Dark Matter
url https://doi.org/10.1007/JHEP01(2025)014
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