Measurement of the branching fractions for Cabibbo-suppressed decays D+ →K+K-π+π0 and D (s)+ →K+π-π+π0 at Belle

Belle Collaboration

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Abstract

We present measurements of the branching fractions for the singly Cabibbo-suppressed decays D+→K+K-π+π0 and Ds+→K+π-π+π0, and the doubly Cabibbo-suppressed decay D+→K+π-π+π0, based on 980 fb-1 of data recorded by the Belle experiment at the KEKB e+e- collider. We measure these modes relative to the Cabibbo-favored modes D+→K-π+π+π0 and Ds+→K+K-π+π0. Our results for the ratios of branching fractions are B(D+→K+K-π+π0)/B(D+→K-π+π+π0)=(11.32±0.13±0.26)%, B(D+→K+π-π+π0)/B(D+→K-π+π+π0)=(1.68±0.11±0.03)%, and B(Ds+→K+π-π+π0)/B(Ds+→K+K-π+π0)=(17.13±0.62±0.51)%, where the uncertainties are statistical and systematic, respectively. The second value corresponds to (5.83±0.42)×tan4θC, where θC is the Cabibbo angle; this value is larger than other measured ratios of branching fractions for a doubly Cabibbo-suppressed charm decay to a Cabibbo-favored decay. Multiplying these results by world average values for B(D+→K-π+π+π0) and B(Ds+→K+K-π+π0) yields B(D+→K+K-π+π0)=(7.08±0.08±0.16±0.20)×10-3, B(D+→K+π-π+π0)=(1.05±0.07±0.02±0.03)×10-3, and B(Ds+→K+π-π+π0)=(9.44±0.34±0.28±0.32)×10-3, where the third uncertainty is due to the branching fraction of the normalization mode. The first two results are consistent with, but more precise than, the current world averages. The last result is the first measurement of this branching fraction.

Original languageEnglish
Article number033003
JournalPhysical Review D
Volume107
Issue number3
DOIs
Publication statusPublished - 2023 Feb 1

Bibliographical note

Publisher Copyright:
© 2023 authors. Published by the American Physical Society.

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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