Improved determination of the D→K−π+π+π−D \to K^-π^+π^+π^- coherence factor and associated hadronic parameters from a combination of e+e−→ψ(3770)→ccˉe^+e^-\to ψ(3770)\to c\bar{c} and pp→ccˉXpp \to c \bar{c} X data

preprint2016arXivOpen access

Abstract

Measurements of the coherence factor RK3πR_{K3π}, the average strong-phase difference δDK3πδ^{K3π}_D and mean amplitude ratio rDK3πr_D^{K3π} for the decay D→K−π+π+π−D \to K^-π^+π^+π^- are presented. These parameters are important inputs to the determination of the unitarity triangle angle γγ in B−→DK−B^- \to DK^- decays, where DD designates a superposition of D0D^0 and Dˉ0\bar{D}{}^0 mesons decaying to a common final state. The results are based on a combined fit to observables obtained from a re-analysis of the CLEO-c ψ(3770)ψ(3770) data set and those measured in a D0Dˉ0D^0\bar{D}^0 mixing study performed by the LHCb collaboration.

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