Radiative corrections to neutron and nuclear β-decays: a serious kinematics problem in the literature
Abstract We report a serious kinematics problem in the bremsstrahlung photon part of the order-α outer (model independent) radiative correction calculations for those neutron (and nuclear beta) decay observables (like electron-neutrino correlation parameter measurement) where the proton (recoil part...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-09-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP09(2023)188 |
| _version_ | 1797371185076371456 |
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| author | Ferenc Glück |
| author_facet | Ferenc Glück |
| author_sort | Ferenc Glück |
| collection | DOAJ |
| description | Abstract We report a serious kinematics problem in the bremsstrahlung photon part of the order-α outer (model independent) radiative correction calculations for those neutron (and nuclear beta) decay observables (like electron-neutrino correlation parameter measurement) where the proton (recoil particle) is detected. The so-called neutrino-type radiative correction calculations, which fix the neutrino direction in the bremsstrahlung photon integrals, use 3-body decay kinematics to connect the unobserved neutrino direction with the observed electron and proton (recoil particle) momenta. But the presence of the bremsstrahlung photon changes the kinematics from 3-body to 4-body one, and the accurate information about the recoil particle momentum is lost due to the integration with respect to the photon momentum. Therefore the application of the abovementioned 3-body decay kinematics connection for the radiative correction calculations, rather prevalent in the literature, is not acceptable. We show that the correct, so-called recoil-type radiative correction calculations, which fix the proton (recoil particle) momentum instead of the neutrino direction and use rather involved analytical, semianalytical or Monte Carlo bremsstrahlung integration methods, result usually in much larger corrections than the incorrect neutrino-type analytical methods. |
| first_indexed | 2024-03-08T18:16:12Z |
| format | Article |
| id | doaj.art-08fe3747e22d4f8cac446da7130a883c |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-08T18:16:12Z |
| publishDate | 2023-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-08fe3747e22d4f8cac446da7130a883c2023-12-31T12:08:26ZengSpringerOpenJournal of High Energy Physics1029-84792023-09-012023913410.1007/JHEP09(2023)188Radiative corrections to neutron and nuclear β-decays: a serious kinematics problem in the literatureFerenc Glück0Karlsruhe Institute of Technology, IAPAbstract We report a serious kinematics problem in the bremsstrahlung photon part of the order-α outer (model independent) radiative correction calculations for those neutron (and nuclear beta) decay observables (like electron-neutrino correlation parameter measurement) where the proton (recoil particle) is detected. The so-called neutrino-type radiative correction calculations, which fix the neutrino direction in the bremsstrahlung photon integrals, use 3-body decay kinematics to connect the unobserved neutrino direction with the observed electron and proton (recoil particle) momenta. But the presence of the bremsstrahlung photon changes the kinematics from 3-body to 4-body one, and the accurate information about the recoil particle momentum is lost due to the integration with respect to the photon momentum. Therefore the application of the abovementioned 3-body decay kinematics connection for the radiative correction calculations, rather prevalent in the literature, is not acceptable. We show that the correct, so-called recoil-type radiative correction calculations, which fix the proton (recoil particle) momentum instead of the neutrino direction and use rather involved analytical, semianalytical or Monte Carlo bremsstrahlung integration methods, result usually in much larger corrections than the incorrect neutrino-type analytical methods.https://doi.org/10.1007/JHEP09(2023)188Higher Order Electroweak CalculationsSemi-Leptonic Decays |
| spellingShingle | Ferenc Glück Radiative corrections to neutron and nuclear β-decays: a serious kinematics problem in the literature Journal of High Energy Physics Higher Order Electroweak Calculations Semi-Leptonic Decays |
| title | Radiative corrections to neutron and nuclear β-decays: a serious kinematics problem in the literature |
| title_full | Radiative corrections to neutron and nuclear β-decays: a serious kinematics problem in the literature |
| title_fullStr | Radiative corrections to neutron and nuclear β-decays: a serious kinematics problem in the literature |
| title_full_unstemmed | Radiative corrections to neutron and nuclear β-decays: a serious kinematics problem in the literature |
| title_short | Radiative corrections to neutron and nuclear β-decays: a serious kinematics problem in the literature |
| title_sort | radiative corrections to neutron and nuclear β decays a serious kinematics problem in the literature |
| topic | Higher Order Electroweak Calculations Semi-Leptonic Decays |
| url | https://doi.org/10.1007/JHEP09(2023)188 |
| work_keys_str_mv | AT ferencgluck radiativecorrectionstoneutronandnuclearbdecaysaseriouskinematicsproblemintheliterature |