New factorization theory for heavy quarkonium production and decay

Abstract

The widely used nonrelativistic QCD (NRQCD) factorization theory now encounters some notable difficulties in describing quarkonium production. This may be due to the inadequate treatment of soft hadrons emitted in the hadronization process, which causes bad convergence of velocity expansion in NRQCD. In this paper, starting from QCD we propose a rigorously defined factorization approach, soft gluon factorization (SGF), to better deal with the effects of soft hadrons. After a careful velocity expansion, the SGF can be as simple as the NRQCD factorization in phenomenological studies, but has a much better convergence. The SGF may provide a new insight to understand the mechanisms of quarkonium production and decay.

12 pages, 3 figures, version published in PRD

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Cited by in corpus (16)

• New Observables in Inclusive Production of Quarkonia
• Conceptual design of the Spin Physics Detector
• Semi-analytical calculation of gluon fragmentation into ${}^1{S}_0^{[1,8]}$ quarkonia at next-to-leading order
• Heavy Flavour Physics and CP Violation at LHCb: a Ten-Year Review
• Matching next-to-leading-order and high-energy-resummed calculations of heavy-quarkonium-hadroproduction cross sections
• Analytical calculation for the gluon fragmentation into spin-triplet S-wave quarkonium
• Average speed and its powers $v^n$ of a heavy quark in quarkonia
• Shedding Light on Hadronization by Quarkonium Energy Correlator
• Theory for quarkonium: from NRQCD factorization to soft gluon factorization
• Fragmentation function of $g\to Q\bar{Q}{(}^3{S}_1^{[8]})$ in soft gluon factorization and threshold resummation
• Color Reconnection Effects in $J/\psi$ Hadroproduction
• Power expansion for heavy quarkonium production at next-to-leading order in ${\mathrm{e}}^{+}{\mathrm{e}}^{-}$ annihilation
• Resolving negative cross section of quarkonium hadroproduction using soft gluon factorization
• Color-octet contributions for $J/\psi$ inclusive production at B factories in soft gluon factorization
• Gluon fragmentation into ${}^3{P}_J^{[1,8]}$ quark pair and test of NRQCD factorization at two-loop level
• Relativistic effect of $J/\psi$ hadroproduction in large $p_T$ region