Combined analysis of Belle and Belle II data to determine the CKM angle $\phi_3$ using $B^+ \to D(K_S^0 h^{\mathstrut -} h^+)h^+$ decays

Abstract We present a measurement of the Cabibbo-Kobayashi-Maskawa unitarity triangle angle $ \phi_{3} $ (also known as~$\gamma$) using a model-independent Dalitz plot analysis of \linebreak $B^+\to D\left(K_{S}^{0}h^{+}h^{-}\right)h^+$, where $D$ is either a $D^0$ or $\bar{D}{}^0$ meson and $h$ is either a $\pi$ or $K$. This is the first measurement that simultaneously uses Belle and Belle~II data, combining samples corresponding to integrated luminosities of \SI{711}{fb^{-1}} and \SI{128}{fb^{-1}}, respectively. All data were accumulated from energy-asymmetric $e^+e^-$ collisions at a centre-of-mass energy corresponding to the mass of the $\Upsilon(4S)$ resonance. We measure $\phi_3 = \left(78.4 \pm 11.4 \pm 0.5 \pm 1.0 \right)^{\circ}$, where the first uncertainty is statistical, the second is the experimental systematic uncertainty and the third is from the uncertainties on external measurements of the $D$-decay strong-phase parameters.
Tags
Working group B Hadronic
Principal authors @  James Frederick Libby, Niharika Rout, Karim Trabelsi
Reference JHEP 02, 063 (2022), DOI: 10.1007/JHEP02(2022)063
Document BELLE2-PUB-PH-2021-001
Links arXiv:2110.12125, Inspire, JHEP
Bibtex
@article{Belle:2021efh,
    author = "Abudin{\'e}n, F. and others",
    collaboration = "Belle, Belle-II",
    title = "{Combined analysis of Belle and Belle II data to determine the CKM angle $ \phi_{3} $ using $B^+ \to D(K_{S}^0 h^- h^+) h^+$ decays}",
    eprint = "2110.12125",
    archivePrefix = "arXiv",
    primaryClass = "hep-ex",
    reportNumber = "Belle II Preprint 2021-003, KEK Preprint 2021-28",
    doi = "10.1007/JHEP02(2022)063",
    journal = "JHEP",
    volume = "02",
    pages = "063",
    year = "2022",
    note = "[Erratum: JHEP 12, 034 (2022)]"
}