The microscopic Twisted Mass Dirac spectrum and the spectral determination of the LECs of Wilson $χ$-PT

Abstract: We present the comparison of the analytical microscopic spectral density for lattice QCD with $N_{\rm f}=2$ twisted mass fermions with the one obtained on the lattice utilizing configurations produced by the ETM collaboration. We extract estimates for the chiral condensate as well as the low-energy constant $W_8$ of Wilson $\chi$-PT by employing spectral information of the Wilson Dirac operator with fixed index at finite volume.