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Incorporating $DD\pi$ effects and left-hand cuts in lattice QCD studies of the $T_{cc}(3875)^+$

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arxiv 2401.06609 v4 pith:QDMMJPE6 submitted 2024-01-12 hep-lat hep-phnucl-th

Maxwell T. Hansen , Fernando Romero-López , Stephen R. Sharpe This is my paper · ORCID
classification hep-lathep-phnucl-th
keywords scatteringfinite-volumeformalismlatticeleft-handamplitudeanalysesapplied
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We generalize the relativistic field-theoretic three-particle finite-volume scattering formalism to describe generic $DD\pi$ systems in the charm $C=2$ sector. This includes the isospin-0 channel, in which the recently discovered doubly-charmed tetraquark $T_{cc}(3875)^+$ is expected to manifest as a pole in the $DD \pi \to DD \pi$ scattering amplitude. The formalism presented here can also be applied to lattice QCD settings in which the $D^*$ is bound and, in particular, remains valid below the left-hand cut in $D D^*$ scattering, thus resolving an issue in previous analyses of lattice-determined finite-volume energies.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Symmetrizing relativistic three-body partial wave amplitudes

    hep-ph 2025-07 unverdicted novelty 6.0 of 10

    The authors derive spectator-symmetric three-body partial wave amplitudes using new recoupling coefficients for arbitrary angular momentum and isospin, and demonstrate them with 3π Dalitz distributions.

  2. Analytic decomposition of two-body electroweak processes with left-hand cuts

    hep-lat 2026-07 accept novelty 5.0 of 10

    An on-shell decomposition of 2+J o2 electroweak amplitudes isolates OPE poles, logs, and triangle singularities, leaving only smooth short-distance functions.

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