Pseudoscalar Quarkonium+gamma Production at NLL+NLO accuracy

Abstract

We consider the exclusive pseudoscalar heavy-quarkonium (eta_{b,c}) production in association with a photon at future lepton colliders where the collider energies of O(10^2) GeV are far greater than the quarkonium mass. At these energies, the logarithm of mass to collision energy becomes increasingly large hence its resummation becomes particularly important. By making use of the light-cone-distribution factorization formula, we resum the logarithms up to next-to-leading-logarithmic accuracy (NLL) that corresponds to order-alpha_s accuracy. We combine the resummed result with a known fixed-order result at next-to-leading order (NLO) such that both resummed-logarithmic terms and non-logarithmic terms are included at the same order in alpha_s. This allowed us to provide reliable predictions at accuracies of order alpha_s ranging from relatively low energies near quarkonium mass to the collider energies of O(10^2) GeV. We also include the leading relativistic corrections resummed at leading-logarithmic accuracy. Our prediction at the Belle energy is comparable with fixed-order predictions in literatures while it shows a large deviation from a recent Belle's upper limit by about 4 sigma. Finally, we make predictions for the energies of future Z and Higgs factories.

arXiv comment26 pages, 4 figures, JHEP version

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• Rare and exclusive few-body decays of the Higgs, Z, W bosons, and the top quark
• Exclusive quarkonium production or decay in soft gluon factorization
• $Z$ boson radiative decays to a $S$-wave quarkonium at NNLO and NLL accuracy
• Scale-Fixed Predictions for $\gamma +{\eta }_c$ production in electron-positron collisions at NNLO in perturbative QCD
• Next-to-leading order QCD corrections to $Z\to {\eta }_Q+Q+\bar{Q}$
• Impact of $Z\to {\eta }_{c,b}+g+g$ on the inclusive ${\eta }_{c,b}$ meson yield in $Z$-boson decay
• Next-to-leading order analysis of $J/\psi +\gamma$ production in photon-photon collisions at CEPC