Abstract
Triggered by a recent LHCb measurement and prospects for Belle II, we derive U-spin symmetry relations between integrated CP asymmetries of three-body Λc+ and Ξc+ decays. The sum rules read ACP(Λc+→pK-K+)+ACP(Ξc+→Σ+π-π+)=0, ACP(Λc+→pπ-π+)+ACP(Ξc+→Σ+K-K+)=0, and ACP(Λc+→Σ+π-K+)+ACP(Ξc+→pK-π+)=0. No such U-spin sum rule exists between ACP(Λc+→pK-K+) and ACP(Λc+→pπ-π+). All of these sum rules are associated with a complete interchange of d and s quarks. Furthermore, there are no U-spin CP asymmetry sum rules which hold to first order U-spin breaking.
Original language | English |
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Article number | 033005 |
Journal | Physical Review D |
Volume | 99 |
Issue number | 3 |
DOIs | |
State | Published - 1 Feb 2019 |
Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2019 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the https://creativecommons.org/licenses/by/4.0/ Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP .
Funding
We thank Alan Schwartz for asking the question which led to this work. The work of Y. G. is supported in part by NSF Grant No. PHY1316222. S. S. is supported by a DFG Forschungsstipendium under Contract No. SCHA 2125/1-1.
Funders | Funder number |
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National Science Foundation | PHY1316222 |
Directorate for Mathematical and Physical Sciences | 1316222 |
Deutsche Forschungsgemeinschaft | SCHA 2125/1-1 |