Pion--deuteron scattering length in Chiral Perturbation Theory up to order \chi^{3/2}

A complete calculation of the corrections to pion-deuteron scattering length up to order $\chi^{3/2}$ with $\chi=m_{\pi}/M_{N}$ is performed. The calculation includes the dispersive contributions and corrections due to the explicit treatment of the $\Delta$ resonance. s-wave pion-nucleon scattering parameters are extracted from a combined analysis of modern experimental data.