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| Format: | Preprint |
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2024
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| Online Access: | https://arxiv.org/abs/2412.00285 |
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| _version_ | 1866913699398156288 |
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| author | Yamada, Yusuke |
| author_facet | Yamada, Yusuke |
| contents | We discuss the scattering process of a scalar field having a time-dependent mass with another scalar field having a constant mass as a toy model of the scattering problems during preheating after inflation. Despite a general difficulty of analytically solving such models, in our previous work [1], we considered an exactly calculable model of such scattering processes with a time-dependent mass of the form $m^2(t)\supset μ^4t^2$ and the time-dependence never disappears formally. In this work, we discuss another exactly calculable model with a time-dependent mass that has a spike/peak but asymptotes to a constant, which effectively appears in the preheating model of Higgs inflation with a non-minimal coupling. Thanks to the localized time-dependence of the mass, the daughter particle number density behaves in a physically reasonable way contrary to the one in our previous model due to the infinite time-dependent mass in the asymptotic future. On the other hand, we find that the daughter particle experiences the kinematically forbidden process, which is a non-perturbative phenomenon found in our previous work. As in the previous model, the kinematically forbidden process produces daughter particles exponentially more than the parent particle having the time-dependent mass, which never happens for particle decay processes without time-dependent backgrounds. This result supports the existence of such a non-perturbative particle production process in general time-dependent backgrounds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_00285 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | More on scattering processes of dressed particles with a time-dependent mass Yamada, Yusuke High Energy Physics - Theory High Energy Physics - Phenomenology We discuss the scattering process of a scalar field having a time-dependent mass with another scalar field having a constant mass as a toy model of the scattering problems during preheating after inflation. Despite a general difficulty of analytically solving such models, in our previous work [1], we considered an exactly calculable model of such scattering processes with a time-dependent mass of the form $m^2(t)\supset μ^4t^2$ and the time-dependence never disappears formally. In this work, we discuss another exactly calculable model with a time-dependent mass that has a spike/peak but asymptotes to a constant, which effectively appears in the preheating model of Higgs inflation with a non-minimal coupling. Thanks to the localized time-dependence of the mass, the daughter particle number density behaves in a physically reasonable way contrary to the one in our previous model due to the infinite time-dependent mass in the asymptotic future. On the other hand, we find that the daughter particle experiences the kinematically forbidden process, which is a non-perturbative phenomenon found in our previous work. As in the previous model, the kinematically forbidden process produces daughter particles exponentially more than the parent particle having the time-dependent mass, which never happens for particle decay processes without time-dependent backgrounds. This result supports the existence of such a non-perturbative particle production process in general time-dependent backgrounds. |
| title | More on scattering processes of dressed particles with a time-dependent mass |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2412.00285 |