Mediator decay through mixing with degenerate spectrum

Abstract The decay of the mediator particle into standard model (SM) particles plays a significant role in exploring the dark sector scenario. We consider such a decay, taking the dark photon mediator as an example that mixes with the SM photon. We find that it requires a careful analysis of the dec...

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Main Authors: Ayuki Kamada, Takumi Kuwahara, Shigeki Matsumoto, Yu Watanabe, Yuki Watanabe
Format: Article
Language:English
Published: SpringerOpen 2025-01-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP01(2025)043
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author Ayuki Kamada
Takumi Kuwahara
Shigeki Matsumoto
Yu Watanabe
Yuki Watanabe
author_facet Ayuki Kamada
Takumi Kuwahara
Shigeki Matsumoto
Yu Watanabe
Yuki Watanabe
author_sort Ayuki Kamada
collection DOAJ
description Abstract The decay of the mediator particle into standard model (SM) particles plays a significant role in exploring the dark sector scenario. We consider such a decay, taking the dark photon mediator as an example that mixes with the SM photon. We find that it requires a careful analysis of the decay rate in the presence of an SM vector boson (e.g., Z boson, ρ meson, and true muonium, etc.) nearly degenerate with the mediator particle in mass. The decay rate of the mediator particle calculated in the mass eigenstate basis does not agree with the correct result, given by the imaginary parts of the poles for the vector boson propagators, when the mixing parameter is smaller than a specific value. In such a case, the decay rate calculated by treating the mixing as a perturbative parameter is in agreement with the correct result. We clarify specific values for the mixing parameter quantitatively using several concrete examples of the SM vector bosons degenerate with the dark photon. When the mass mixing between the vector boson and dark photon is smaller (larger) than the decay width of the vector boson, the latter (former) method to calculate the decay rate of the mediator particle gives the correct result.
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institution Kabale University
issn 1029-8479
language English
publishDate 2025-01-01
publisher SpringerOpen
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series Journal of High Energy Physics
spelling doaj-art-25bd58bd2a5846e9b74375742f324f432025-01-19T12:07:07ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025113410.1007/JHEP01(2025)043Mediator decay through mixing with degenerate spectrumAyuki Kamada0Takumi Kuwahara1Shigeki Matsumoto2Yu Watanabe3Yuki Watanabe4Institute of Theoretical Physics, Faculty of Physics, University of WarsawCenter for High Energy Physics, Peking UniversityKavli IPMU (WPI), UTIAS, University of TokyoKavli IPMU (WPI), UTIAS, University of TokyoKavli IPMU (WPI), UTIAS, University of TokyoAbstract The decay of the mediator particle into standard model (SM) particles plays a significant role in exploring the dark sector scenario. We consider such a decay, taking the dark photon mediator as an example that mixes with the SM photon. We find that it requires a careful analysis of the decay rate in the presence of an SM vector boson (e.g., Z boson, ρ meson, and true muonium, etc.) nearly degenerate with the mediator particle in mass. The decay rate of the mediator particle calculated in the mass eigenstate basis does not agree with the correct result, given by the imaginary parts of the poles for the vector boson propagators, when the mixing parameter is smaller than a specific value. In such a case, the decay rate calculated by treating the mixing as a perturbative parameter is in agreement with the correct result. We clarify specific values for the mixing parameter quantitatively using several concrete examples of the SM vector bosons degenerate with the dark photon. When the mass mixing between the vector boson and dark photon is smaller (larger) than the decay width of the vector boson, the latter (former) method to calculate the decay rate of the mediator particle gives the correct result.https://doi.org/10.1007/JHEP01(2025)043New Light ParticlesSpecific BSM Phenomenology
spellingShingle Ayuki Kamada
Takumi Kuwahara
Shigeki Matsumoto
Yu Watanabe
Yuki Watanabe
Mediator decay through mixing with degenerate spectrum
Journal of High Energy Physics
New Light Particles
Specific BSM Phenomenology
title Mediator decay through mixing with degenerate spectrum
title_full Mediator decay through mixing with degenerate spectrum
title_fullStr Mediator decay through mixing with degenerate spectrum
title_full_unstemmed Mediator decay through mixing with degenerate spectrum
title_short Mediator decay through mixing with degenerate spectrum
title_sort mediator decay through mixing with degenerate spectrum
topic New Light Particles
Specific BSM Phenomenology
url https://doi.org/10.1007/JHEP01(2025)043
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AT takumikuwahara mediatordecaythroughmixingwithdegeneratespectrum
AT shigekimatsumoto mediatordecaythroughmixingwithdegeneratespectrum
AT yuwatanabe mediatordecaythroughmixingwithdegeneratespectrum
AT yukiwatanabe mediatordecaythroughmixingwithdegeneratespectrum