New approach to the resummation of logarithms in Higgs-boson decays to a vector quarkonium plus a photon

Abstract

We present a calculation of the rates for Higgs-boson decays to a vector heavy-quarkonium state plus a photon, where the heavy quarkonium states are the J/psi and the Upsilon(nS) states, with n=1, 2, or 3. The calculation is carried out in the light-cone formalism, combined with nonrelativistic QCD factorization, and is accurate at leading order in m_Q^2/m_H^2, where m_Q is the heavy-quark mass and m_H is the Higgs-boson mass. The calculation contains corrections through next-to-leading order in the strong-coupling constant alpha_s and the square of the heavy-quark velocity v, and includes a resummation of logarithms of m_H^2/m_Q^2 at next-to-leading logarithmic accuracy. We have developed a new method, which makes use of Abel summation, accelerated through the use of Pade approximants, to deal with divergences in the resummed expressions for the quarkonium light-cone distribution amplitudes. This approach allows us to make definitive calculations of the resummation effects. Contributions from the order-alpha_s and order-v^2 corrections to the light-cone distribution amplitudes that we obtain with this new method differ substantially from the corresponding contributions that one obtains from a model light-cone distribution amplitude [M. Koenig and M. Neubert, J. High Energy Phys. 08 (2015) 012]. Our results for the real parts of the direct-process amplitudes are considerably smaller than those from one earlier calculation [G. T. Bodwin, H. S. Chung, J.-H. Ee, J. Lee, and F. Petriello, Phys. Rev. D 90, 113010 (2014)], reducing the sensitivity to the Higgs-boson--heavy-quark couplings, and are somewhat smaller than those from another earlier calculation [M. Koenig and M. Neubert, J. High Energy Phys. 08 (2015) 012]. However, our results for the standard-model Higgs-boson branching fractions are in good agreement with those in M. Koenig and M. Neubert, J. High Energy Phys. 08 (2015) 012.

40 pages, improved discussion of the convergence of the nonrelativistic expansion, minor corrections and changes in nomenclature, version published in Phys. Rev. D

References in corpus (7)

• Improved determination of color-singlet nonrelativistic QCD matrix elements for S-wave charmonium
• Exclusive Radiative Higgs Decays as Probes of Light-Quark Yukawa Couplings
• Potential-model calculation of an order-v^2 NRQCD matrix element
• Relativistic corrections to Higgs boson decays to quarkonia
• 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

Cited by in corpus (22)

• Searches for exclusive Higgs and $Z$ boson decays into $J/\psi \gamma$, $\psi (2S)\gamma$, and ${\rm Y}(nS)\gamma$ at $\sqrt{s}=13$ TeV with the ATLAS detector
• Search for exclusive Higgs and $Z$ boson decays to $\varphi \gamma$ and $\rho \gamma$ with the ATLAS detector
• $Z$-boson decays to a vector quarkonium plus a photon
• Order $v^4$ corrections to Higgs boson decay into $J/\psi +\gamma$
• Rare and exclusive few-body decays of the Higgs, Z, W bosons, and the top quark
• 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)]
• Radiative Decays of the Higgs Boson to a Pair of Fermions
• 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
• Bounding the Charm Yukawa
• $Z$ boson radiative decays to a $P$-wave quarkonium at NNLO and LL accuracy
• $Z$ boson radiative decays to a $S$-wave quarkonium at NNLO and NLL accuracy
• Excited heavy quarkonium production in Higgs boson decays
• The leading twist light-cone distribution amplitudes for the S-wave and P-wave Bc mesons
• Higgs to charm quarks in vector boson fusion plus a photon
• Higgs boson decays to $B_c$ meson in the fragmentation-function approach
• Probing the $H\gamma \gamma$ coupling via Higgs exclusive decay into quarkonia plus a photon at the HL-LHC
• $J/\psi$ associated production with a bottom quark pair from the Higgs boson decay in next-to-leading order QCD
• Constraining the Charm-Yukawa coupling at the Large Hadron Collider
• 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
• Improved analysis of double $J/\psi$ production in $Z$-boson decay
• 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
• Next-to-leading order analysis of $J/\psi +\gamma$ production in photon-photon collisions at CEPC