Inclusive production of fully-charmed tetraquarks at LHC

The $X(6900)$ resonance, originally discovered by the $\mathtt{\text{LHCb}}$ collaboration and later confirmed by both $\mathtt{\text{ATLAS}}$ and $\mathtt{\text{CMS}}$ experiments, has sparked broad interests in the fully-charmed tetraquark states. Relative to the mass spectra and decay properties of fully-heavy tetraquarks, our knowledge on their production mechanism is still rather limited. In this work we investigate the inclusive production of fully-charmed $S$-wave tetraquarks at $\mathtt{\text{LHC}}$ within the nonrelativistic QCD (NRQCD) factorization framework. The partonic cross sections are computed at lowest order in ${\alpha }_s$ and velocity, while the long-distance NRQCD matrix elements are estimated from phenomenological potential models. We predict the differential $p_T$ spectra of various fully-charmed $S$-wave tetraquarks at the $\mathtt{\text{LHC}}$, and compare with the results predicted from the fragmentation mechanism at large $p_T$ end.