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We present first results of a recently started lattice QCD investigation ofantiheavy-antiheavy-light-light tetraquark systems including scatteringinterpolating operators in correlation functions both at the source and at thesink. In particular, we discuss the importance of such scattering interpolatingoperators for a precise computation of the low-lying energy levels. We focus onthe $\bar b \bar b u d$ four-quark system with quantum numbers $I(J^P) =0(1^+)$, which has a ground state below the lowest meson-meson threshold. Wecarry out a scattering analysis using L\"uscher's method to extrapolate thebinding energy of the corresponding QCD-stable tetraquark to infinite spatialvolume. Our calculation uses clover $u$, $d$ valence quarks and NRQCD $b$valence quarks on gauge-link ensembles with HISQ sea quarks that were generatedby the MILC collaboration.

Lattice QCD study of antiheavy-antiheavy-light-light tetraquarks based  on correlation functions with scattering interpolating operators both at the  source and at the sink