Would a Deeply Bound $b\bar{b}b\bar{b}$ Tetraquark Meson be Observed at the LHC?

Abstract

There has been much theoretical speculation about the existence of a deeply bounded tetra-bottom state. Such a state would not be expected to be more than a GeV below ${\rm Y}{\rm Y}$ threshold. If such a state exists below the ${\eta }_b{\eta }_b$ threshold it would be narrow, as Zweig allowed strong decays are kinematically forbidden. Given the observation of ${\rm Y}$ pair production at CMS, such a state with a large branching fraction into ${\rm Y}{{\rm Y}}^{\ast }$ is likely discoverable at the LHC. The discovery mode is similar to the SM Higgs decaying into four leptons through the $Z{Z}^{\ast }$ channel. The testable features of both production and the four lepton decays of such a tetra-bottom ground state are presented. The assumptions required for each feature are identified, allowing the application of our results more generally to a resonance decaying into four charged leptons (through the ${\rm Y}{{\rm Y}}^{\ast }$ channel) in the same mass region.

Comments: 14 pages, 5 figures, 3 tables