Tetraquarks made of sufficiently heavy quarks are bound in QCD

Tetraquarks, bound states composed of two quarks and two antiquarks, have been the subject of intense study but have yet to be understood from first principles. Previous studies of fully-heavy tetraquarks in nonrelativistic effective field theories of quantum chromodynamics (QCD) suggest different conclusions for their existence. We apply variational and Green's function Monte Carlo methods to compute tetraquarks' ground- and excited-state energies in potential nonrelativistic QCD. We robustly demonstrate that fully-heavy tetraquarks are bound in QCD for sufficiently heavy quark masses. We also predict the masses of tetraquark bound states comprised of $b$ and $c$ quarks, which are experimentally accessible, and suggest possible resolutions for previous theoretical discrepancies.