A study of $c cbar{c}bar{c}$ tetraquark decays in 4 muons and in $D^{(*)} bar{D}^{(*)}$ at LHC

We perform a quantitative analysis of the decays of $ccbar cbar c$ tetraquarks with $J^{PC}=0^{++}, 2^{++}$ into 4 muons and into hidden- and open-charm mesons and estimate, for the first time, the fully charmed tetraquark decay width. The calculated cross section upper limit is $sim 40$ fb for the 4 muons channel, and $sim 28$ nb for the $D^{(*)} bar D^{(*)} to emu$ channel. On the basis of our results, with the present sensitivity LHCb should detect both signals, for $0^{++}$ and $2^{++}$ fully-charmed tetraquarks.