A novel observable for $CP$ violation in multi-body decays and its application potential to charm and beauty meson decays

Abstract

A novel observable measuring the $CP$ asymmetry in multi-body decays of heavy mesons, which is called the forward-backward asymmetry induced $CP$ asymmetry (FBI-$CP$A), $A_{CP}^{FB}$, is introduced. This observable has the dual advantages that 1) it can isolate the $CP$ asymmetry associated with the interference of the $S$- and $P$-wave amplitude from that associated with the $S$- or $P$-wave amplitude alone; 2) it can effectively almost double the statistics comparing to the conventionally defined regional $CP$ asymmetry. We also suggest to perform the measurements of FBI-$CP$A in some three-body decay channels of charm and beauty mesons.

arXiv comment13 pages, accepted for publication in PLB, title changed

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Cited by in corpus (6)

• Probing isovector scalar mesons in the charmless three-body $B$ decays
• Analysis of angular distribution asymmetries and the associated $CP$ asymmetries in three-body decays of bottom baryons
• Forward-backward asymmetry induced $CP$ asymmetry of $B^{\pm }\to {\pi }^{\pm }{\pi }^{+}{\pi }^{-}$
• Data-based analysis of Forward-Backward Asymmetry in $B^{\pm }\to K^{\pm }{K}^{\mp }{K}^{\pm }$
• Search for $CP$ violation in $D_{(s)}^{+}\to K^{-}{K}^{+}{K}^{+}$ decays
• Effect of $K^0-{\bar{K}}^0$ Mixing on CP and CPT Violations in $B_c^{\pm }\to B^{\pm }{K}_{S,L}^0$ Decays