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Relativistic corrections to Higgs boson decays to quarkonia

2014/07/31 by Geoffrey T. Bodwin, Hee Sok Chung, June-Haak Ee +2 · 3 citations
Physics and Astronomy · #Boson #Higgs boson #High-Energy Particle Collisions Research #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1103/physrevd.90.113010

published as Phys. Rev. D 90, 113010 (2014) · 24 pages, 2 figures, minor revisions, version published in PRD

openalex publication_date 2014/12/16 · arxiv created 2014/12/19 · arxiv updated 2014/12/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We improve the theoretical predictions for the decays of the Higgs boson to an S-wave vector quarkonium plus a photon by calculating the relativistic correction of order v2, where v is the heavy-quark velocity in the quarkonium rest frame. Our numerical results are given for the J/\ensuremathψ and \mathrm\ensuremathΥ(nS) channels, with n=1, 2, 3. The numerical results include a previously calculated correction of order \ensuremathαs and summations, to all orders in \ensuremathαs, of leading logarithms of mH2/mQ2, where mH is the Higgs-boson mass and mQ is the heavy-quark mass. These QCD corrections apply to the contribution of leading order in v and to part of the order-v2 correction. For the remainder of the order-v2 correction, we sum leading logarithms of mH/mQ through order \ensuremathαs2. These refinements reduce the theoretical uncertainties in the direct-production amplitudes for H\ensuremath→J/\ensuremathψ+\ensuremathγ and H\ensuremath→\mathrm\ensuremathΥ(1S)+\ensuremathγ 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.

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