Exotic bottomonium hadronic transitions

Abstract

We report on a recent computation of the transitions of exotic bottomonium to standard bottomonium and light quark hadrons. We work under the assumption that the $\Upsilon(10753)$ and $\Upsilon(11020)$ can be described as the lowest laying and first excitation $1^{--}$ hybrid bottomonium states, respectively. The computation has two distinct parts: the heavy quark transition matrix elements, which are obtained in a nonrelativistic EFT incorporating the heavy quark, multipole and adiabatic expansions; and the hadronization of the gluonic operators into the light-meson final states. The single mesons production is obtained through the axial anomaly and a standard $\pi^0-\eta-\eta'$ mixing scheme. Two pion and kaon production is obtained by solving the coupled Omn\`es problem. We also present result for semi-inclusive transitions.