U -spin sum rules for CP asymmetries of three-body charmed baryon decays

Yuval Grossman, Stefan Schacht

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26 Scopus citations

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 languageEnglish
Article number033005
JournalPhysical Review D
Volume99
Issue number3
DOIs
StatePublished - 1 Feb 2019
Externally publishedYes

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.

FundersFunder number
National Science FoundationPHY1316222
Directorate for Mathematical and Physical Sciences1316222
Deutsche ForschungsgemeinschaftSCHA 2125/1-1

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