Constraints on the unitarity triangle angle $\gamma$ from Dalitz plot analysis of $B^0 \to D K^+ \pi^-$ decays

TL;DR

This paper presents the first amplitude analysis of CP violation in $B^0 o D K^+ \pi^-$ decays using Dalitz plots, constraining the unitarity triangle angle $oldsymbol{ extgamma}$ with data from LHCb, and determining hadronic parameters for the first time.

Contribution

First amplitude analysis of CP violation in $B^0 o D K^+ \pi^-$ decays, providing new constraints on $ extgamma$ and measuring hadronic parameters for the $B^0 o D K^*(892)^0$ decay.

Findings

No significant CP violation observed.

Constraints placed on the angle $ extgamma$.

Hadronic parameters for $B^0 o D K^*(892)^0$ decay measured.

Abstract

The first study is presented of CP violation with an amplitude analysis of the Dalitz plot of $B^0 \to D K^+ \pi^-$ decays, with $D \to K^+ \pi^-$, $K^+ K^-$ and $\pi^+ \pi^-$. The analysis is based on a data sample corresponding to $3.0\,{\rm fb}^{-1}$ of $pp$ collisions collected with the LHCb detector. No significant CP violation effect is seen, and constraints are placed on the angle $\gamma$ of the unitarity triangle formed from elements of the Cabibbo-Kobayashi-Maskawa quark mixing matrix. Hadronic parameters associated with the $B^0 \to D K^*(892)^0$ decay are determined for the first time. These measurements can be used to improve the sensitivity to $\gamma$ of existing and future studies of the $B^0 \to D K^*(892)^0$ decay.