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Role of left-hand cut contributions on pole extractions from lattice data: Case study for $T_{cc}(3875)^+$

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arxiv 2303.09441 v2 pith:IBDNJZXA submitted 2023-03-16 hep-ph

classification hep-ph
keywords left-handpoledataexchangeextractionlatticenear-thresholdone-pion
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We discuss recent lattice data for the $T_{cc}(3875)^+$ state to stress, for the first time, a potentially strong impact of left-hand cuts from the one-pion exchange on the pole extraction for near-threshold exotic states. In particular, if the left-hand cut is located close to the two-particle threshold, which happens naturally in the $DD^*$ system for the pion mass exceeding its physical value, the effective-range expansion is valid only in a very limited energy range up to the cut and as such is of little use to reliably extract the poles. Then, an accurate extraction of the pole locations requires the one-pion exchange to be implemented explicitly into the scattering amplitudes. Our findings are general and potentially relevant for a wide class of hadronic near-threshold states.

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Forward citations

Cited by 6 Pith papers

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

  1. Effective Range Expansion with the Left-Hand Cut: Higher Order Improvements

    hep-ph 2026-01 conditional novelty 6.0 of 10

    Extended the generalized effective-range expansion, including the left-hand cut from one-particle exchange, to O(k^6) with a new relativistic version, validated against exact Yukawa-potential solutions of the Lippmann...

  2. Universal parameters of the $\Lambda(1380)$, the $\Lambda(1405)$ and their isospin partners from a combined analysis of Lattice QCD and experimental results

    hep-ph 2025-07 conditional novelty 6.0 of 10

    A combined global fit of lattice QCD spectra and experimental Kbar N data within chiral unitary approaches gives pole positions for the Lambda(1380) and Lambda(1405) at physical and lattice quark masses, with systemat...

  3. Low-energy $DD$ scattering in lattice QCD

    hep-lat 2025-02 conditional novelty 6.0 of 10

    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.

  4. Left-hand cut and the HAL QCD method

    hep-lat 2025-01 conditional novelty 6.0 of 10

    A quantum-mechanics model shows that the left-hand cut does not change the binding momentum extracted from IR-regulated potentials, validating the HAL QCD method's treatment of near-threshold states like T_cc.

  5. 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.

  6. Lattice perspectives on doubly heavy tetraquarks

    hep-lat 2025-02 accept novelty 1.0 of 10

    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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