Addendum: New approach to the resummation of logarithms in Higgs-boson decays to a vector quarkonium plus a photon [Phys. Rev. D 95, 054018 (2017)]

TL;DR

This paper revises previous calculations of Higgs decay rates to vector quarkonium plus a photon by correcting errors in the summation formula and wave function scale, leading to more accurate predictions.

Contribution

It provides corrected and refined computations of Higgs decay rates to vector quarkonium plus a photon, improving the accuracy of theoretical predictions.

Findings

Corrected the Abel-Padé summation formula used in evolution calculations.

Fixed the scale of the quarkonium wave function at the origin.

Enhanced the precision of decay rate predictions.

Abstract

In this addendum to Phys.\ Rev.\ D {\bf 95}, 054018 (2017) we recompute the rates for the decays of the Higgs boson to a vector quarkonium plus a photon, where the vector quarkonium is $J/\psi$, $\Upsilon(1S)$, $\Upsilon(2S)$, or $\Upsilon(3S)$. We correct an error in the Abel-Pad\'e summation formula that was used to carry out the evolution of the quarkonium light-cone distribution amplitude in Phys.\ Rev.\ D {\bf 95}, 054018 (2017). We also correct an error in the scale of quarkonium wave function at the origin in Phys.\ Rev.\ D {\bf 95}, 054018 (2017) and introduce several additional refinements in the calculation.