Decay eta_b->J/\psi J/\psi in light cone formalism

TL;DR

This paper investigates the decay of eta_b into J/psi J/psi using light cone formalism, incorporating relativistic and radiative corrections, which significantly increase the predicted branching ratio compared to previous nonrelativistic estimates.

Contribution

It provides the first calculation including relativistic and leading logarithmic radiative corrections for eta_b decays into charmonia in light cone formalism.

Findings

Branching ratio is increased by an order of magnitude with corrections.

Relativistic and radiative effects break fine-tuning in previous models.

Enhanced decay rate predictions improve understanding of eta_b decay mechanisms.

Abstract

The decays of pseudoscalar bottomonium eta_b into a pair of vector charmonia, J/\psi J/\psi, J/\psi \psi', \psi' \psi' are considered in the light cone formalism. Relativistic and leading logarithmic radiative corrections to the amplitudes of these processes are resummed. It is shown that the small value for the branching ratio of the decay eta_b-> J/\psi J/\psi obtained within the leading order nonrelativistic QCD is a consequence of a fine-tuning between certain parameters, which is broken when relativistic and leading logarithmic radiative corrections are taken into account. As a result, the branching ratio obtained in this paper is enhanced by an order of magnitude.