Incorporating DDπ effects and left-hand cuts in lattice QCD studies of the Tcc(3875)+

Maxwell T. Hansen; Fernando Romero-López; Stephen R. Sharpe

doi:10.1007/JHEP06(2024)051

Incorporating DDπ effects and left-hand cuts in lattice QCD studies of the T_cc(3875)⁺

Maxwell T. Hansen, Fernando Romero-López^*, Stephen R. Sharpe

^*Corresponding author for this work

School of Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

Abstract

We generalize the relativistic field-theoretic three-particle finite-volume scattering formalism to describe generic DDπ 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 DDπ → DDπ 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 DD^* scattering, thus resolving an issue in previous analyses of lattice-determined finite-volume energies.

Original language	English
Article number	51
Pages (from-to)	1-55
Number of pages	55
Journal	Journal of High Energy Physics
Volume	2024
Issue number	6
DOIs	https://doi.org/10.1007/JHEP06(2024)051
Publication status	Published - 11 Jun 2024

Keywords / Materials (for Non-textual outputs)

Hadronic Spectroscopy
Lattice QCD
Structure and Interactions

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10.1007/JHEP06(2024)051Licence: Creative Commons: Attribution (CC-BY)

Cite this

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title = "Incorporating DDπ effects and left-hand cuts in lattice QCD studies of the Tcc(3875)+",

abstract = "We generalize the relativistic field-theoretic three-particle finite-volume scattering formalism to describe generic DDπ systems in the charm C = 2 sector. This includes the isospin-0 channel, in which the recently discovered doubly-charmed tetraquark Tcc(3875)+ is expected to manifest as a pole in the DDπ → DDπ 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 DD* scattering, thus resolving an issue in previous analyses of lattice-determined finite-volume energies.",

keywords = "Hadronic Spectroscopy, Lattice QCD, Structure and Interactions",

author = "Hansen, {Maxwell T.} and Fernando Romero-L{\'o}pez and Sharpe, {Stephen R.}",

note = "Publisher Copyright: {\textcopyright} The Author(s) 2024.",

year = "2024",

month = jun,

day = "11",

doi = "10.1007/JHEP06(2024)051",

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T1 - Incorporating DDπ effects and left-hand cuts in lattice QCD studies of the Tcc(3875)+

AU - Hansen, Maxwell T.

AU - Romero-López, Fernando

AU - Sharpe, Stephen R.

N1 - Publisher Copyright: © The Author(s) 2024.

PY - 2024/6/11

Y1 - 2024/6/11

N2 - We generalize the relativistic field-theoretic three-particle finite-volume scattering formalism to describe generic DDπ systems in the charm C = 2 sector. This includes the isospin-0 channel, in which the recently discovered doubly-charmed tetraquark Tcc(3875)+ is expected to manifest as a pole in the DDπ → DDπ 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 DD* scattering, thus resolving an issue in previous analyses of lattice-determined finite-volume energies.

AB - We generalize the relativistic field-theoretic three-particle finite-volume scattering formalism to describe generic DDπ systems in the charm C = 2 sector. This includes the isospin-0 channel, in which the recently discovered doubly-charmed tetraquark Tcc(3875)+ is expected to manifest as a pole in the DDπ → DDπ 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 DD* scattering, thus resolving an issue in previous analyses of lattice-determined finite-volume energies.

KW - Hadronic Spectroscopy

KW - Lattice QCD

KW - Structure and Interactions

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U2 - 10.1007/JHEP06(2024)051

DO - 10.1007/JHEP06(2024)051

M3 - Article

AN - SCOPUS:85195939718

SN - 1126-6708

VL - 2024

SP - 1

EP - 55

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 6

M1 - 51

ER -

Incorporating DDπ effects and left-hand cuts in lattice QCD studies of the T_cc(3875)⁺

Abstract

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Dark Matter and New Heavy-Flavour Physics meet the Strong Force

Particle Theory at the Higgs Centre

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Incorporating DDπ effects and left-hand cuts in lattice QCD studies of the Tcc(3875)+

Abstract

Keywords / Materials (for Non-textual outputs)

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Projects

Dark Matter and New Heavy-Flavour Physics meet the Strong Force

Particle Theory at the Higgs Centre

Cite this

Incorporating DDπ effects and left-hand cuts in lattice QCD studies of the T_cc(3875)⁺