Relativistic corrections to Higgs boson decays to quarkonia

Geoffrey T. Bodwin, Hee Sok Chung, June-Haak Ee, Jungil Lee, and Frank Petriello
Phys. Rev. D 90, 113010 – Published 16 December 2014

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/ψ and ϒ(nS) channels, with n=1, 2, 3. The numerical results include a previously calculated correction of order αs and summations, to all orders in αs, 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 αs2. These refinements reduce the theoretical uncertainties in the direct-production amplitudes for HJ/ψ+γ and Hϒ(1S)+γ 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.

  • Figure
  • Figure
  • Received 6 October 2014

DOI:https://doi.org/10.1103/PhysRevD.90.113010

© 2014 American Physical Society

Authors & Affiliations

Geoffrey T. Bodwin1,*, Hee Sok Chung1,†, June-Haak Ee2,‡, Jungil Lee2,§, and Frank Petriello1,3,¶

  • 1High Energy Physics Division, Argonne National Laboratory, Argonne, Illinois 60439, USA
  • 2Department of Physics, Korea University, Seoul 136-713, Korea
  • 3Department of Physics, Northwestern University, Evanston, Illinois 60208, USA

  • *gtb@anl.gov
  • chungh@anl.gov
  • chodigi@gmail.com
  • §jungil@korea.ac.kr
  • f-petriello@northwestern.edu

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Issue

Vol. 90, Iss. 11 — 1 December 2014

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