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

Grossman, Yuval (Department of Physics, LEPP, Cornell University, Ithaca, New York 14853, USA) ; Schacht, Stefan (Department of Physics, LEPP, Cornell University, Ithaca, New York 14853, USA)

12 February 2019

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+pKK+)+ACP(Ξc+Σ+ππ+)=0, ACP(Λc+pππ+)+ACP(Ξc+Σ+KK+)=0, and ACP(Λc+Σ+πK+)+ACP(Ξc+pKπ+)=0. No such U-spin sum rule exists between ACP(Λc+pKK+) and ACP(Λc+pππ+). 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.


Published in: Physical Review D 99 (2019)
Published by: APS
DOI: 10.1103/PhysRevD.99.033005
arXiv: 1811.11188
License: CC-BY-4.0



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