Computes branching ratios for Z to double S-wave quarkonia (VV, VP) and radiative Z to X(QQbar) gamma using Bethe-Salpeter in heavy quark limit, reporting larger rates than NRQCD for charmonium and smaller for bottomonium.
Next-to-leading order QCD and relativistic corrections to $Z \to J/\psi+\Upsilon(nS)$
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abstract
In this paper, we calculate the decay widths and branching fractions for the decays $Z \to J/\psi+\Upsilon(nS)$ ($n=1,2,3$) at future super $Z$ factory and at the CEPC/FCC-ee, including both the relativistic and QCD corrections within the framework of nonrelativistic QCD. Both the relativistic and QCD corrections are found to be large and negative. Compared to the leading-order results, the decay widths are significantly reduced by the higher-order corrections. Therefore, it is essential to take these corrections into account for a reliable estimation. For a high-luminosity electron positron collider running around the $Z$-pole, sizable event rates could be produced from these rare decay channels due to the $Z$-boson resonance effect.
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Rare Exclusive Decays of the Z-boson into S-wave Quarkonia within the Bethe-Salpeter Formalism
Computes branching ratios for Z to double S-wave quarkonia (VV, VP) and radiative Z to X(QQbar) gamma using Bethe-Salpeter in heavy quark limit, reporting larger rates than NRQCD for charmonium and smaller for bottomonium.