Abstract
We present a semiclassical approach for time delay statistics in quantum chaotic systems, in the presence of absorption, for broken time-reversal symmetry. We derive three kinds of expressions for Schur-moments of the time delay operator: as a power series in inverse channel number, 1/M, whose coefficients are rational functions of absorption time, τ_a; as a power series in τ_a, tailored to strong absorption, whose coefficients are rational functions of M; as a power series in 1/τ_a, tailored to weak absorption, whose coefficients are rational functions of M.