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A novel effective-field-theory-based approach is implemented for extractingtwo-body scattering information from finite volume energies, serving as analternative to L\"uscher's method. By explicitly incorporating one-pionexchange, the approach quantitatively accounts for effects related to left-handcuts and range corrections from the longest-range interactions. The methodutilizes the plane wave basis instead of the conventional partial waveexpansion, thereby also naturally including partial wave mixing effectsresulting from rotational symmetry breaking in a cubic box. Applied to thelattice data for $DD^*$ scattering at a pion mass of 280 MeV, it reveals thesignificant impact of the one-pion exchange on P-wave and S-wave phase shifts.The pole position of the $T_{cc}(3875)^+$ state, extracted from thefinite-volume energy levels while taking into account left-hand cut effects,range corrections, and partial-wave mixing, appears to be consistent with anear-threshold resonance.

Solving the left-hand cut problem in lattice QCD: $T_{cc}(3875)^+$ from finite volume energy levels