We discuss a novel effective-field-theory-based approach for extracting two-body scattering information from finite volume energies, serving as an alternative to L\"uscher's method. By explicitly incorporating one-pion exchange, we overcome the challenging left-hand cut problem in L\"uscher's method and can handle finite volume energy levels both below and above the left-hand cut. Applied to the lattice data for DD∗ scattering at a pion mass of 280 MeV, as an illustrative example, our results reveal the significant impact of the one-pion exchange on P-wave and S-wave phase shifts. The pole position of the Tcc(3875)+ state, extracted from the finite-volume energy levels at this pion mass while taking into account left-hand cut effects, range corrections and partial-wave mixing, is consistent with a near-threshold resonance. This study demonstrates, for the first time, that two-body scattering information can be reliably extracted from lattice spectra including the left-hand cut.
@article{arxiv.2312.01930,
title = {Solving the left-hand cut problem in lattice QCD: $T_{cc}(3875)^+$ from finite volume energy levels},
author = {Lu Meng and Vadim Baru and Evgeny Epelbaum and Arseniy A. Filin and Ashot M. Gasparyan},
journal= {arXiv preprint arXiv:2312.01930},
year = {2024}
}