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Radiative corrections to neutron and nuclear β-decays: a serious kinematics problem in the literature

Glück, Ferenc 1
1 Institut für Astroteilchenphysik (IAP), Karlsruher Institut für Technologie (KIT)

Abstract:

We report a serious kinematics problem in the bremsstrahlung photon part of the order-$\alpha$ 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.


Verlagsausgabe §
DOI: 10.5445/IR/1000163494
Veröffentlicht am 26.10.2023
Originalveröffentlichung
DOI: 10.1007/JHEP09(2023)188
Scopus
Zitationen: 6
Dimensions
Zitationen: 8
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Astroteilchenphysik (IAP)
Publikationstyp Zeitschriftenaufsatz
Publikationsjahr 2023
Sprache Englisch
Identifikator ISSN: 1029-8479
KITopen-ID: 1000163494
HGF-Programm 51.13.01 (POF IV, LK 01) Neutrinophysik und Dunkle Materie
Erschienen in Journal of High Energy Physics
Verlag Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Band 2023
Heft 9
Seiten Art.Nr.: 188
Vorab online veröffentlicht am 26.09.2023
Schlagwörter Higher Order Electroweak Calculations, Semi-Leptonic Decays
Nachgewiesen in Web of Science
Scopus
Dimensions
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