The leading twist light-cone distribution amplitudes for the S-wave and P-wave quarkonia and their applications in single quarkonium exclusive productions

Abstract

In this paper, we calculate twist-2 light-cone distribution amplitudes (LCDAs) of the S-wave and P-wave quarkonia (namely ${}^1{S}_0$ state ${\eta }_Q$, ${}^3{S}_1$ state $J/\psi ({\rm Y})$, ${}^1{P}_1$ state $h_Q$ and ${}^3{P}_J$ states ${\chi }_{QJ}$ with $J=0,1,2$ and $Q=c,b$) to the next-leading order of the strong coupling ${\alpha }_s$ and leading order of the velocity expansion $v$ in the non-relativistic QCD (NRQCD). We apply these LCDAs to some single quarkonium exclusive productions at large center-of-mass energy, such as ${\gamma }^{\ast }\to {\eta }_Q\gamma ,{\chi }_{QJ}\gamma (J=0,1,2)$, $Z\to {\eta }_Q\gamma ,{\chi }_{QJ}\gamma (J=0,1,2),J/\psi ({\rm Y})\gamma ,h_Q\gamma$ and $h\to J/\psi \gamma$, by adopting the collinear factorization. The asymptotic behaviors of those processes obtained in NRQCD factorization are reproduced.

25 pages, no figure. In this updated arXiv version, we add the explicit NLO expression for ${\varphi }_V^{\parallel }(x;\mu )$ which is missing in the published version in JHEP, and also correct the logarithmic term in NLO hard-kernel for $h\to J/\psi \gamma$

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Cited by in corpus (31)

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• Subleading power corrections to the pion-photon transition form factor in QCD
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• New approach to the resummation of logarithms in Higgs-boson decays to a vector quarkonium plus a photon
• Relativistic corrections to light-cone distribution amplitudes of S-wave $B_c$ mesons and heavy quarkonia
• Order $v^4$ corrections to Higgs boson decay into $J/\psi +\gamma$
• Probing the $P$-wave charmonium decays of $B_c$ meson
• 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)]
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• Exclusive production of quarkonia pairs in collinear factorization framework
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• $Z$ boson radiative decays to a $S$-wave quarkonium at NNLO and NLL accuracy
• The leading twist light-cone distribution amplitudes for the S-wave and P-wave Bc mesons
• $P$-wave quarkonium wavefunctions at the origin in the $\overline{\mathrm{MS}}$ scheme
• Factorization for radiative heavy quarkonium decays into scalar Glueball
• Next-to-leading-order QCD corrections to the decay of $Z$ boson into ${\chi }_c({\chi }_b)$
• Probing the $H\gamma \gamma$ coupling via Higgs exclusive decay into quarkonia plus a photon at the HL-LHC
• Comprehensive studies of ${\rm Y}$ inclusive production in $Z$ boson decay
• Exclusive photoproduction of ${\eta }_c\gamma$ pairs with large invariant mass
• Exclusive production of $B_c$ mesons in $e^{+}{e}^{-}$ colliders
• $S$-wave contributions to the $B_{(s)}\to {\chi }_{c1}(\pi \pi ,K\pi ,KK)$ decays
• Photoproduction of ${\eta }_c\gamma$ pairs in CGC framework
• Exclusive photoproduction of $B_c^{\pm }$ and bottomonia pairs
• Improved analysis of double $J/\psi$ production in $Z$-boson decay
• Next-to-leading order analysis of $J/\psi +\gamma$ production in photon-photon collisions at CEPC
• Improved analysis of rare $Z$-boson decays into a heavy vector quarkonium plus lepton pair