Quark mass dependence of the $T_{cc}(3875)^+$ pole

TL;DR

This paper uses effective field theory to analyze lattice QCD data, demonstrating that the $T_{cc}(3875)^+$ state is consistent with experimental observations and exploring its dependence on quark masses and meson exchanges.

Contribution

It provides a chiral extrapolation of lattice data to connect the virtual bound state to the observed $T_{cc}$ and analyzes quark mass dependence and meson exchange effects.

Findings

The $T_{cc}$ pole is compatible with experimental data at physical pion mass.

The virtual bound state has a small negative binding energy.

Quark mass dependence influences the $T_{cc}$ pole position.

Abstract

Recently, several LQCD simulations have proven that the interaction in the isoscalar channel in $DD^*$ scattering is attractive. This channel is naturally connected to the $T_{cc}(3875)^+$ which is observed in the $D^0D^0\pi^+$ invariant mass distribution. However, it remains an open question whether the virtual bound state found in the several LQCD simulations is actually linked to the LHCb experimental observation. In this article we perform an EFT-based analysis of the LQCD data and demostrate that a proper chiral extrapolation leads to a $T_{cc}$ pole compatible with experiment. At the physical pion mass, we find a virtual bound state with a binding energy $\Delta E=-0.06 \left(^{+1.30}_{-2.20}\right) \left(^{+0.50}_{-1.11}\right)$. Moreover, we extract from a global analysis both, the light and heavy quark mass dependence of the $T_{cc}$ pole, and study the role of the $\rho$ and $\pi$ meson exchanges.