Excited Heavy Quarkonium Production at the LHC through $W$-Boson Decays

Abstract

Sizable amount of heavy-quarkonium events can be produced through $W$-boson decays at the LHC. Such channels will provide a suitable platform to study the heavy-quarkonium properties. The "improved trace technology", which disposes the amplitude $\mathcal{M}$ at the amplitude-level, is helpful for deriving compact analytical results for complex processes. As an important new application, in addition to the production of the lower-level Fock states $|(Q\overline{Q^{\prime }})[1S]>$ and $|(Q\overline{Q^{\prime }})[1P]>$, we make a further study on the production of higher-excited $|(Q\overline{Q^{\prime }})>$-quarkonium Fock states $|(Q\overline{Q^{\prime }})[2S]>$, $|(Q\overline{Q^{\prime }})[3S]>$ and $|(Q\overline{Q^{\prime }})[2P]>$. Here $|(Q\overline{Q^{\prime }})>$ stands for the $|(c\bar{c})>$-charmonium, $|(c\bar{b})>$-quarkonium and $|(b\bar{b})>$-bottomonium respectively. We show that sizable amount of events for those higher-excited states can also be produced at the LHC. Therefore, we need to take them into consideration for a sound estimation.

arXiv comment7 pages, 9 figures and 6 tables. Typo errors are corrected, more discussions and two new figures have been added

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• $B_c$ Production in Higgs Boson Decays
• The high-energy spectrum of QCD from inclusive emissions of charmed $B$-mesons
• Excited Heavy Quarkonium Production via Z^0 Decays at a High Luminosity Collider
• Heavy $P$-wave quarkonium production via Higgs decays
• Excited doubly heavy baryon production via $W^{+}$ boson decays
• Heavy quarkonium wave functions at the origin and excited heavy quarkonium production via top quark decays at the LHC
• BEEC: An event generator for simulating the $B_c$ meson production at an $e^{+}{e}^{-}$ collider
• Excited heavy quarkonium production in Higgs boson decays
• Production of double heavy quarkonium at super $Z$ factory
• Heavy quarkonium production through the top quark rare decays via the channels involving flavor changing neutral currents
• Strong coupling constant of vector bottomonium to the pseudoscalar and vector $B_c$ mesons via QCD sum rules