Improved determination of the D → K−π+π+π− coherence factor and associated hadronic parameters from a combination of e+e−→ψ(3770)→cc¯ and pp→cc¯X data

Measurements of the coherence factor RK3πRK3π, the average strong-phase difference δDK3π and mean amplitude ratio rDK3π for the decay D→K−π+π+π−D→K−π+π+π− are presented. These parameters are important inputs to the determination of the unitarity triangle angle γ   in B−→DK−B−→DK− decays, where D   designates a superposition of D0D0 and 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 D0D¯0 mixing study performed by the LHCb Collaboration.