Anatomy of non-leptonic two-body decays of charmed mesons into final states with η′

Abstract We show that D → Pη′ decay amplitudes, where P = K, π, η, cannot be simply related to their D → Pη counterparts with a single η 0–η 8 mixing angle. We propose a novel, consistent treatment of η 0–η 8 mixing for application in D → Pη and D → Pη′ decays. Using this framework, we perform a glo...

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Main Authors: Carolina Bolognani, Ulrich Nierste, Stefan Schacht, K. Keri Vos
Format: Article
Language:English
Published: SpringerOpen 2025-05-01
Series:Journal of High Energy Physics
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Online Access:https://doi.org/10.1007/JHEP05(2025)148
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author Carolina Bolognani
Ulrich Nierste
Stefan Schacht
K. Keri Vos
author_facet Carolina Bolognani
Ulrich Nierste
Stefan Schacht
K. Keri Vos
author_sort Carolina Bolognani
collection DOAJ
description Abstract We show that D → Pη′ decay amplitudes, where P = K, π, η, cannot be simply related to their D → Pη counterparts with a single η 0–η 8 mixing angle. We propose a novel, consistent treatment of η 0–η 8 mixing for application in D → Pη and D → Pη′ decays. Using this framework, we perform a global analysis of D → Pη′ decays employing SU(3) F symmetry including linear SU(3) F breaking. We find that the assumption of 30% SU(3) F breaking is in slight tension (2.5σ) with the data when compared to a fit that allows for 50% SU(3) F breaking, the latter giving a perfect description of the data. In order to allow for further scrutinization of SU(3) F -breaking effects in the future, we give branching ratio predictions for all D → Pη′ modes. Our predictions deviate from the current data in case of the branching ratios B $$ \mathcal{B} $$ ( D s + $$ {D}_s^{+} $$ → K + η′) and B $$ \mathcal{B} $$ (D + → K + η′). Future more precise measurements of these channels are therefore highly important in order to clarify the quality of the SU(3) F expansion in nonleptonic D → Pη′ decays.
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spelling doaj-art-5cb230fc44204c01a42de1c105a712dd2025-08-20T02:30:49ZengSpringerOpenJournal of High Energy Physics1029-84792025-05-012025512410.1007/JHEP05(2025)148Anatomy of non-leptonic two-body decays of charmed mesons into final states with η′Carolina Bolognani0Ulrich Nierste1Stefan Schacht2K. Keri Vos3Gravitational Waves and Fundamental Physics (GWFP), Maastricht UniversityInstitute for Theoretical Particle Physics, Karlsruhe Institute of Technology (KIT)Department of Physics and Astronomy, University of ManchesterGravitational Waves and Fundamental Physics (GWFP), Maastricht UniversityAbstract We show that D → Pη′ decay amplitudes, where P = K, π, η, cannot be simply related to their D → Pη counterparts with a single η 0–η 8 mixing angle. We propose a novel, consistent treatment of η 0–η 8 mixing for application in D → Pη and D → Pη′ decays. Using this framework, we perform a global analysis of D → Pη′ decays employing SU(3) F symmetry including linear SU(3) F breaking. We find that the assumption of 30% SU(3) F breaking is in slight tension (2.5σ) with the data when compared to a fit that allows for 50% SU(3) F breaking, the latter giving a perfect description of the data. In order to allow for further scrutinization of SU(3) F -breaking effects in the future, we give branching ratio predictions for all D → Pη′ modes. Our predictions deviate from the current data in case of the branching ratios B $$ \mathcal{B} $$ ( D s + $$ {D}_s^{+} $$ → K + η′) and B $$ \mathcal{B} $$ (D + → K + η′). Future more precise measurements of these channels are therefore highly important in order to clarify the quality of the SU(3) F expansion in nonleptonic D → Pη′ decays.https://doi.org/10.1007/JHEP05(2025)148Charm Flavour ViolationFlavour Symmetries
spellingShingle Carolina Bolognani
Ulrich Nierste
Stefan Schacht
K. Keri Vos
Anatomy of non-leptonic two-body decays of charmed mesons into final states with η′
Journal of High Energy Physics
Charm Flavour Violation
Flavour Symmetries
title Anatomy of non-leptonic two-body decays of charmed mesons into final states with η′
title_full Anatomy of non-leptonic two-body decays of charmed mesons into final states with η′
title_fullStr Anatomy of non-leptonic two-body decays of charmed mesons into final states with η′
title_full_unstemmed Anatomy of non-leptonic two-body decays of charmed mesons into final states with η′
title_short Anatomy of non-leptonic two-body decays of charmed mesons into final states with η′
title_sort anatomy of non leptonic two body decays of charmed mesons into final states with η
topic Charm Flavour Violation
Flavour Symmetries
url https://doi.org/10.1007/JHEP05(2025)148
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