Pion mass dependence in \(D\pi\) scattering and the \(D_0^(2300)\) resonance from lattice QCD

Lattice QCD results for isospin \(I=\frac{1}{2}\) \(D\pi\) scattering are presented. Utilizing a series of \(N_{\text{f}}=2+1\) Wilson-Clover ensembles with pion masses of \(m_\pi \approx 132, 208, 305\) and \(317\) MeV, various two-particle operators are constructed and the corresponding finite-volume spectra are determined. The \(S\) and \(P\)-wave scattering phase shifts are then extracted using the L\"{u}scher approach. A clear trend for the motion of the \(D_0^*(2300)\) pole is identified. With the physical pion mass configurations also included, this calculation constitutes the first lattice calculation in which the pion mass dependence of the \(D_0^*(2300)\) pole is investigated and the scattering lengths are extrapolated/interpolated to the physical pion mass in \(D\pi\) scattering.