Relativistic corrections to Higgs boson decays to quarkonia

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 $v^2$, where $v$ is the heavy-quark velocity in the quarkonium rest frame. Our numerical results are given for the $J/\psi$ and ${\rm Y}(nS)$ channels, with $n=1,2,3$. The numerical results include a previously calculated correction of order ${\alpha }_s$ and summations, to all orders in ${\alpha }_s$, of leading logarithms of $m_H^2/m_Q^2$, where $m_H$ is the Higgs-boson mass and $m_Q$ is the heavy-quark mass. These QCD corrections apply to the contribution of leading order in $v$ and to part of the order-$v^2$ correction. For the remainder of the order-$v^2$ correction, we sum leading logarithms of $m_H/m_Q$ through order ${\alpha }_s^2$. These refinements reduce the theoretical uncertainties in the direct-production amplitudes for $H\to J/\psi +\gamma$ and $H\to {\rm Y}(1S)+\gamma$ 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.

24 pages, 2 figures, minor revisions, version published in PRD

References in corpus (9)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Improved determination of color-singlet nonrelativistic QCD matrix elements for S-wave charmonium
• Potential-model calculation of an order-v^2 NRQCD matrix element
• The study of leading twist light cone wave function of η_c meson
• The study of leading twist light cone wave functions of J/Psi meson
• NRQCD matrix elements for S-wave bottomonia and Gamma[eta_b(nS) -> gamma gamma] with relativistic corrections
• Refactorizing NRQCD short-distance coefficients in exclusive quarkonium production
• Exclusive Two-Vector-Meson Production from e^+ e^- Annihilation

Cited by in corpus (17)

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• Rare exclusive decays of the Z-boson revisited
• $Z$-boson decays to a vector quarkonium plus a photon
• Search for Higgs and $Z$ Boson Decays to $\varphi \gamma$ with the ATLAS Detector
• Comparison of two Minkowski-space approaches to heavy quarkonia
• Exclusive Weak Radiative Higgs Decays in the Standard Model and Beyond
• Constraining wrong-sign $hbb$ couplings with $h\to {\rm Y}\gamma$
• 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)]
• Production of doubly heavy baryons via Higgs boson decays
• Probing New Physics in Higgs Couplings to Fermions using an Angular Analysis
• Higgs boson decay to paired $B_c$: relativistic and one-loop corrections
• Charm-quark Yukawa Coupling in $h\to c\bar{c}\gamma$ at LHC
• Next-to-leading order QCD corrections to Higgs boson decay to quarkonium plus a photon
• Probing the $H\gamma \gamma$ coupling via Higgs exclusive decay into quarkonia plus a photon at the HL-LHC
• Power expansion for heavy quarkonium production at next-to-leading order in ${\mathrm{e}}^{+}{\mathrm{e}}^{-}$ annihilation