Abstract
We improve the theoretical predictions for the decays of the Higgs boson to an -wave vector quarkonium plus a photon by calculating the relativistic correction of order , where is the heavy-quark velocity in the quarkonium rest frame. Our numerical results are given for the and channels, with , 2, 3. The numerical results include a previously calculated correction of order and summations, to all orders in , of leading logarithms of , where is the Higgs-boson mass and is the heavy-quark mass. These QCD corrections apply to the contribution of leading order in and to part of the order- correction. For the remainder of the order- correction, we sum leading logarithms of through order . These refinements reduce the theoretical uncertainties in the direct-production amplitudes for and by approximately a factor of 3 and open the door to improved determinations at the LHC of the Higgs-boson Yukawa couplings to the charm and bottom quarks.
- Received 6 October 2014
DOI:https://doi.org/10.1103/PhysRevD.90.113010
© 2014 American Physical Society