Factorization theorems for exclusive heavy-quarkonium production
Geoffrey T. Bodwin, Xavier Garcia i Tormo (Argonne), Jungil Lee (Korea, U.)
TL;DR
This paper proves factorization theorems for exclusive heavy-quarkonium production in B-meson decay and e^+e^- annihilation, establishing their validity to all orders in QCD perturbation theory with specific mass-related corrections.
Contribution
It provides rigorous proofs of factorization theorems for heavy-quarkonium production processes, including all-order perturbative validation and correction estimates.
Findings
Factorization holds up to order m_c/m_b in B-meson decay.
Factorization holds up to order m_c^2/s in e^+e^- annihilation.
Validates the theoretical framework for heavy-quarkonium production.
Abstract
We outline the proofs of the factorization theorems for exclusive two-body charmonium production in B-meson decay and e^+e^- annihilation to all orders in perturbation theory in quantum chromodynamics. We find that factorized expressions hold up to corrections of order m_c/m_b in B-meson decay and corrections of order m_c^2/s in e^+e^- annihilation, where m_c is the charm-quark mass, m_b is the bottom-quark mass, and root-s is the e^+e^- center-of-momentum energy.
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