Lattice determination of the pion mass difference $M_{{\pi }^{+}}-M_{{\pi }^0}$ at order $\mathcal{O}({\alpha }_{em})$ and $\mathcal{O}((m_d-m_u{)}^2)$ including disconnected diagrams

R. Frezzotti, G. Gagliardi, V. Lubicz +3

We present our preliminary results concerning the charged/neutral pion mass difference $M_{{\pi }^{+}}-M_{{\pi }^0}$ at order $\mathcal{O}({\alpha }_{em})$ in the QED interactions, and for $M_{π…