| Title: | Functional determinants for false vacuum decay |
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| Authors: | ID Baratella, Pietro, Institut "Jožef Stefan" (Author) ID Nemevšek, Miha, Institut "Jožef Stefan" (Author) ID Trailović, Katarina, Institut "Jožef Stefan" (Author) ID Shoji, Yutaro, Institut "Jožef Stefan" (Author) ID Ubaldi, Lorenzo, Institut "Jožef Stefan" (Author) |
| Files: | URL - Source URL, visit https://link.springer.com/article/10.1007/JHEP05(2025)100
PDF - Presentation file, download (798,79 KB) MD5: 9C385F098B857306A047B0C61DDAB0CD
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| Language: | English |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | IJS - Jožef Stefan Institute
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| Abstract: | We derive simple expressions to regularise functional determinants from fluctuations of fields with spin 0, 1/2, and 1. These are important for the precise dimensionful determination of false vacuum decay rates. We work in D = 4 Euclidean dimensions and use familiar Feynman diagrammatic techniques with a double expansion in interactions and masses, together with dimensional regularisation in momentum space. We Fourier transform to coordinate space and end up with a simple regularisation prescription in terms of single integrals over the Euclidean radius of field-dependent masses and their derivatives. Our results apply to models with an arbitrary scalar potential and with any number of scalars, fermions, gauge bosons and associated ghosts. We exemplify this approach on the Standard Model with a streamlined calculation of the renormalisation and isolation of divergences in fluctuation determinants. |
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| Keywords: | false vacuum, decay rates, Higgs properties, multi-Higgs models, functional determinants |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Submitted for review: | 27.02.2025 |
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| Article acceptance date: | 06.04.2025 |
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| Publication date: | 13.05.2025 |
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| Publisher: | SISSA |
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| Year of publishing: | 2025 |
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| Number of pages: | str. 1-47 |
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| Numbering: | Vol. 2025, article no. 100 |
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| Source: | Italija |
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| PID: | 20.500.12556/DiRROS-24529  |
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| UDC: | 53 |
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| ISSN on article: | 1029-8479 |
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| DOI: | 10.1007/JHEP05(2025)100  |
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| COBISS.SI-ID: | 236320259  |
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| Copyright: | © The Authors. |
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| Note: | Nasl. z nasl. zaslona;
Soavtorji: Miha Nemevšek, Yutaro Shoji, Katarina Trailović, Lorenzo Ubaldi;
Opis vira z dne 19. 5. 2025;
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| Publication date in DiRROS: | 04.12.2025 |
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| Views: | 104 |
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| Downloads: | 49 |
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