20.500.12556/DiRROS-24529 Functional determinants for false vacuum decay 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. false vacuum decay rates Higgs properties multi-Higgs models functional determinants razpad lažnega vakuuma true false true SISSA Italija Angleški jezik Slovenski jezik © The Authors. Neznano 2025-12-04 08:27:46 2025-12-04 08:27:47 2025-12-06 03:39:25 0000-00-00 00:00:00 2025 0 0 Nasl. z nasl. zaslona; Soavtorji: Miha Nemevšek, Yutaro Shoji, Katarina Trailović, Lorenzo Ubaldi; Opis vira z dne 19. 5. 2025; str. 1-47 Vol. 2025, article no. 100 13 May 2025 0000-00-00 Zaloznikova Objavljeno NiDoloceno 2025-02-27 2025-04-06 2025-05-13 53 1029-8479 10.1007/JHEP05(2025)100 236320259 https://link.springer.com/article/10.1007/JHEP05(2025)100 1 bd3d7690-d0e2-11f0-94a7-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=36574 RAZ_Baratella_Pietro_2025.pdf RAZ_Baratella_Pietro_2025.pdf 1 9C385F098B857306A047B0C61DDAB0CD 97d9206c026a6687902e53bc4ecf4e6c4dea7bc4dc533f8429956d421ec802e4 03aab057-d0e3-11f0-94a7-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=36575 Institut Jožef Stefan 0 0 0