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 (32)

• Physics at a 100 TeV pp collider: Higgs and EW symmetry breaking studies
• Search for Higgs and $Z$ Boson Decays to $J/\psi \gamma$ and ${\rm Y}(nS)\gamma$ with the ATLAS Detector
• On lepton flavour universality in semileptonic $B_c\to {\eta }_c,J/\psi$ decays
• Rare exclusive decays of the Z-boson revisited
• $Z$-boson decays to a vector quarkonium plus a photon
• Ultraforward production of a charmed hadron plus a Higgs boson in unpolarized proton collisions
• 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 $h\to {\rm Y}\gamma$
• Production of doubly heavy baryons via Higgs boson decays
• 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)]
• Probing New Physics in Higgs Couplings to Fermions using an Angular Analysis
• Searches for exclusive Higgs and $Z$ boson decays into a vector quarkonium state and a photon using $139$ fb${}^{-1}$ of ATLAS $\sqrt{s}=13$ TeV proton$-$proton collision data
• 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
• Relativistic corrections to paired production of charmonium and bottomonium in decays of the Higgs boson
• Higgs boson decay to the pair of S- and P-wave $B_c$ mesons
• Next-to-leading order QCD corrections to Higgs boson decay to quarkonium plus a photon
• Higgs boson decay to charmonia via $c$-quark fragmentation
• Excited doubly heavy baryons production via Higgs decays
• Higgs to charm quarks in vector boson fusion plus a photon
• Probing the $H\gamma \gamma$ coupling via Higgs exclusive decay into quarkonia plus a photon at the HL-LHC
• Higgs boson decays to $B_c$ meson in the fragmentation-function approach
• Constraining the Charm-Yukawa coupling at the Large Hadron Collider
• Search for exclusive Higgs and $Z$ boson decays to $\omega \gamma$ and Higgs boson decays to $K^{\ast }\gamma$ with the ATLAS detector
• Power expansion for heavy quarkonium production at next-to-leading order in ${\mathrm{e}}^{+}{\mathrm{e}}^{-}$ annihilation
• Lightest Higgs boson decays $h\to MZ$ in the $\mu$ from $\nu$ supersymmetric standard model
• Search for rare decays of the Z and Higgs bosons to a J/$\psi$ or $\psi$(2S) meson and a photon in proton-proton collisions at $\sqrt{s}$ = 13 TeV
• Searches for exclusive Higgs boson decays into $D^{\ast }\gamma$ and $Z$ boson decays into $D^0\gamma$ and $K_s^0\gamma$ in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Higgs decay to charmonia and the charm-quark Yukawa coupling
• Next-to-leading order analysis of $J/\psi +\gamma$ production in photon-photon collisions at CEPC