Sensitivity study of $\bar{K}_1(1270)$ decay dynamics using four $D\to \bar{K}_1(1270)(\to \bar K\pi\pi)e^+\nu$ decay channels

Abstract

A sensitivity study for the measurement of $\bar{K}_1(1270)$ decay modes is performed using semileptonic $D$-meson decays. The BESIII experiment is taken as a case study, where a simultaneous analysis of $\bar{K}_1(1270)$ decays to the four thee-body final states $K^-\pi^+\pi^-$, $K^-\pi^+\pi^0$, $K_S^0\pi^+\pi^-$, and $K_S^0\pi^-\pi^0$ is presented and a model-independent determination of \mbox{$\mathcal{B}(\bar{K}_1(1270)\to \bar K\pi\pi)$}, without requiring detailed knowledge of intermediate resonant contributions, is proposed.