$0^{+}$ XTZ states from QCD spectral sum rules

Abstract

We review our results in\,\cite{ANR22} for the masses and couplings of $T_{ccq{q}^{\prime }}(J^P=0^{+})$ states from (inverse) QCD Laplace sum rule (LSR), their ratios $\mathcal{R}$ and double ratio of sum rules (DRSR) within stability criteria and including Factorized Next-to-Leading Order (FNLO) Perturbative (PT) corrections and Lowest Order (LO) QCD condensates up to $⟨G^3⟩$. We show that combining $\mathcal{R}$ and DRSR can provide more precise results. Calibrated to the observed $X_c(3872)$ and $T_{cc}^{1^{+}}(3875)$, $\mathcal{R}$ combined with DRSR lead to a more precise prediction of $M_{T_{cc}^{0^{+}}}=3883(3)\mathrm{MeV}$. In a similar way, calibrated to the new prediction of $T_{cc}^{0^{+}}$ $\mathcal{R}\oplus$DRSR lead to the improved mass predictions: $M_{T_{cc\bar{s}\bar{u}}^{0^{+}}}=3927(6)\mathrm{MeV}$ and $M_{T_{cc\bar{s}\bar{s}}^{0^{+}}}=3993(11)\mathrm{MeV}$. We extend our analysis to the bottom sector and compare our results with the ones from different LSR predictions and some other determinations (lattice, quark and potential models,...) in the literature.