Subleading contributions to the decay width of the $T_{cc}^{+}$ tetraquark

Abstract

Recently the LHCb collaboration has announced the discovery of the $T_{cc}^{+}$ tetraquark. Being merely a few hundred $\mathrm{keV}$ below the $D^{\ast +}{D}^0$ threshold, the $T_{cc}^{+}$ is expected to have a molecular component, for which there is a good separation of scales that can be exploited to make reasonably accurate theoretical predictions about this tetraquark. Independently of its nature, the most important decay channels will be $D^{+}{D}^0{\pi }^0$, $D^0{D}^0{\pi }^{+}$ and $D^{+}{D}^0\gamma$. Its closeness to threshold suggests that the mass and particularly the width of the $T_{cc}^{+}$ tetraquark depend on the resonance profile. While the standard Breit-Wigner parametrization generates a $T_{cc}^{+}$ that is too broad for current theoretical calculations to reproduce, a three-body unitarized Breit-Wigner shape reveals instead a decay width (${\Gamma }_{\mathrm{pole}}=48\pm 2{}_{-12}^{+0}\mathrm{keV}$) consistent with theoretical expectations. Here we consider subleading order contributions to the decay amplitude, which though having at most a moderate impact in the width still indicate potentially significant differences with the experimental width that can be exploited to disentangle the nature of the $T_{cc}^{+}$. Concrete calculations yield ${\Gamma }^{\mathrm{LO}}=49\pm 16\mathrm{keV}$ and ${\Gamma }^{\mathrm{NLO}}=58_{-6}^{+7}\mathrm{keV}$, though we expect further corrections to the $\mathrm{NLO}$ decay widths from asymptotic normalization effects. We find that a detailed comparison of the $\mathrm{NLO}$ total and partial decay widths with experiment suggests the existence of a small (but distinguishable from zero) non-molecular component of the $T_{cc}^{+}$.

13 pages, 1 figure; corresponds with the published version

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Cited by in corpus (36)

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• Double-charm tetraquark under the complex scaling method
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• Doubly heavy tetraquark multiplets as heavy antiquark-diquark symmetry partners of heavy baryons
• Triangle Singularity in the Production of $T_{cc}^{+}$(3875) and a Soft Pion
• Interpretations of the new LHCb $P_c(4337{)}^{+}$ pentaquark state
• Masses and widths of the exotic molecular $B_{(s)}^{(\ast )}{B}_{(s)}^{(\ast )}$ states
• The quasi-fission phenomeonon of double charm $T_{cc}^{+}$ induced by nucleon
• Heavy- and light-flavor symmetry partners of the $T_{cc}^{+}(3875)$, the $X(3872)$ and the $X(3960)$ from light-meson exchange saturation
• New insight into the exotic states strongly coupled with the $D{\bar{D}}^{\ast }$ from the $T_{cc}^{+}$
• Magnetic moments of the doubly charged axial-vector $T_{cc}^{++}$ states
• Exploring the magnetic dipole moments of $T_{QQ\bar{q}\bar{s}}$ and $T_{QQ\bar{s}\bar{s}}$ states in the framework of QCD light-cone sum rules
• Hadronic decays of the heavy-quark-spin molecular partner of $T_{cc}^{+}$
• Three-body molecules $\bar{D}{\bar{D}}^{\ast }{\Sigma }_c$- understanding the nature of $T_{cc}$, $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$
• Searching for doubly charmed tetraquark candidates $T_{cc}$ and $T_{cc\bar{s}}$ in $B_c$ decays
• Doubly heavy tetraquark states in a mass splitting model
• Doubly-Charged $T_{cc}^{++}$ States in the Dynamical Diquark Model
• Exotic states with triple charm
• Magnetic dipole moments of $B_{(s)}^{(\ast )}{B}_{(s)}^{(\ast )}$ states
• Electromagnetic properties of the $T_{cc}^{+}$ molecular states
• The study of possible molecular states of $D_s^{(\ast )}{D}_s^{(\ast )}$ and $B_s^{(\ast )}{B}_s^{(\ast )}$
• Isospin violation effect and three-body decays of the $T_{cc}^{+}$ state
• Radiative decays of the heavy-quark-spin molecular partner of $T_{cc}^{+}$
• Hunting for the prospective $T_{cc}$ family based on the diquark-antidiquark configuration
• Investigation on the bottom analogs of the $T_{cc}^{+}$
• An alternative way to decipher the nature of the doubly charmed tetraquark $T_{cc}(3875{)}^{+}$: its antiparticle $T_{\bar{c}\bar{c}}(3875{)}^{-}$ photoproduction off nuclei near threshold
• Low-energy $N\varphi$ scattering from a pole-enhanced triangle diagram
• Investigating the two-pion exchange of the double charm $D{D}^{\ast }$ chiral interactions and $T_{cc}$
• Hadronic molecule model for the doubly charmed state $T_{cc}^{+}$
• Low-energy $DD$ scattering in lattice QCD