Relativistic corrections to paired production of charmonium and bottomonium in decays of the Higgs boson

TL;DR

This paper calculates relativistic corrections to the rare Higgs boson decay into charmonium and bottomonium pairs, providing decay width predictions for experimental comparison.

Contribution

It introduces relativistic corrections into the decay amplitude and wave functions for Higgs decays into quarkonium pairs, advancing theoretical precision.

Findings

Calculated decay widths for Higgs to J/Ψ and Υ pairs

Quantified relativistic effects on decay amplitudes

Provided numerical results for experimental testing

Abstract

Rare decay process of the Higgs boson into a pair of $J/\Psi$ and $\Upsilon$ particles is studied within perturbative Standard Model and relativistic quark model. The relativistic corrections connected with the relative motion of quarks are calculated in the production amplitude and the wave functions of the bound states. Numerical values of the decay widths of the Higgs boson are obtained, which can be used for comparison with experimental data.