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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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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.
Forward citations
Cited by 8 Pith papers
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Resolving the $T_{cc}^+$ with $\pi$ Exchange from Lattice QCD
Including one-pion exchange nonperturbatively converts the lattice-QCD T_cc+ from a real-valued virtual bound state to a complex pole below the DD* threshold.
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Finite-volume quantization condition from the $N/D$ representation
A finite-volume quantization condition based on the N/D representation is derived and claimed to remain valid when the energy coincides with left-hand cuts, where the original Luescher condition fails.
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Symmetrizing relativistic three-body partial wave amplitudes
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.
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Low-energy $DD$ scattering in lattice QCD
The first lattice QCD calculation of single-channel DD scattering finds a weakly repulsive S-wave isovector interaction and a slightly attractive P-wave isoscalar interaction.
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Analytic decomposition of two-body electroweak processes with left-hand cuts
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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Implementing the RFT finite-volume formalism for three pions across all non-maximal isospins
A numerical implementation of the RFT quantization condition yields finite-volume three-pion spectra for isospins 0, 1, and 2 with three-particle interactions turned off.
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Lattice perspectives on doubly heavy tetraquarks
A review of lattice QCD results concludes that doubly heavy tetraquarks Tbb(ud/us) are firmly predicted as bound states, Tcc appears as a virtual state at nonphysical masses, and Tbc is under active study.
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From scattering towards multi-hadron weak decays
A review of current lattice QCD scattering calculations shows that finite-volume formalisms now enable multi-hadron weak decay studies with direct relevance to flavour physics.
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