Quantum transport theory for neutrinos with flavor and particle-antiparticle mixing
Abstract We derive quantum kinetic equations for mixing neutrinos including consistent forward scattering terms and collision integrals for coherent neutrino states. In practice, we reduce the general Kadanoff-Baym equations in a few clearly justified steps to a generalized density matrix equation t...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP02(2024)217 |
| _version_ | 1827214407624556544 |
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| author | Kimmo Kainulainen Harri Parkkinen |
| author_facet | Kimmo Kainulainen Harri Parkkinen |
| author_sort | Kimmo Kainulainen |
| collection | DOAJ |
| description | Abstract We derive quantum kinetic equations for mixing neutrinos including consistent forward scattering terms and collision integrals for coherent neutrino states. In practice, we reduce the general Kadanoff-Baym equations in a few clearly justified steps to a generalized density matrix equation that describes both the flavour- and particle-antiparticle coherences and is valid for arbitrary neutrino masses and kinematics. We then reduce this equation to a simpler particle-antiparticle diagonal limit and eventually to the ultra-relativistic limit. Our derivation includes simple Feynman rules for computing collision integrals with the coherence information. We also expose a novel spectral shell structure underlying the mixing phenomenon and quantify how the prior information on the system impacts on the QKE’s, leading to a direct effect on its evolution. Our results can be used for example to accurately model neutrino distributions in hot and dense environments and to study the production and decay of mixing heavy neutrinos in colliders. |
| first_indexed | 2024-03-07T15:23:20Z |
| format | Article |
| id | doaj.art-e41785844ab64bf381160e35337c7116 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2025-03-21T14:30:51Z |
| publishDate | 2024-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-e41785844ab64bf381160e35337c71162024-06-23T11:09:13ZengSpringerOpenJournal of High Energy Physics1029-84792024-02-012024214210.1007/JHEP02(2024)217Quantum transport theory for neutrinos with flavor and particle-antiparticle mixingKimmo Kainulainen0Harri Parkkinen1Department of Physics, University of JyväskyläDepartment of Physics, University of JyväskyläAbstract We derive quantum kinetic equations for mixing neutrinos including consistent forward scattering terms and collision integrals for coherent neutrino states. In practice, we reduce the general Kadanoff-Baym equations in a few clearly justified steps to a generalized density matrix equation that describes both the flavour- and particle-antiparticle coherences and is valid for arbitrary neutrino masses and kinematics. We then reduce this equation to a simpler particle-antiparticle diagonal limit and eventually to the ultra-relativistic limit. Our derivation includes simple Feynman rules for computing collision integrals with the coherence information. We also expose a novel spectral shell structure underlying the mixing phenomenon and quantify how the prior information on the system impacts on the QKE’s, leading to a direct effect on its evolution. Our results can be used for example to accurately model neutrino distributions in hot and dense environments and to study the production and decay of mixing heavy neutrinos in colliders.https://doi.org/10.1007/JHEP02(2024)217Neutrino InteractionsNeutrino MixingSterile or Heavy Neutrinos |
| spellingShingle | Kimmo Kainulainen Harri Parkkinen Quantum transport theory for neutrinos with flavor and particle-antiparticle mixing Journal of High Energy Physics Neutrino Interactions Neutrino Mixing Sterile or Heavy Neutrinos |
| title | Quantum transport theory for neutrinos with flavor and particle-antiparticle mixing |
| title_full | Quantum transport theory for neutrinos with flavor and particle-antiparticle mixing |
| title_fullStr | Quantum transport theory for neutrinos with flavor and particle-antiparticle mixing |
| title_full_unstemmed | Quantum transport theory for neutrinos with flavor and particle-antiparticle mixing |
| title_short | Quantum transport theory for neutrinos with flavor and particle-antiparticle mixing |
| title_sort | quantum transport theory for neutrinos with flavor and particle antiparticle mixing |
| topic | Neutrino Interactions Neutrino Mixing Sterile or Heavy Neutrinos |
| url | https://doi.org/10.1007/JHEP02(2024)217 |
| work_keys_str_mv | AT kimmokainulainen quantumtransporttheoryforneutrinoswithflavorandparticleantiparticlemixing AT harriparkkinen quantumtransporttheoryforneutrinoswithflavorandparticleantiparticlemixing |