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Factorization theorems for exclusive heavy-quarkonium production
Geoffrey T Bodwin1, Xavier Garcia I Tormo, Jungil Lee
1High Energy Physics Division, Argonne National Laboratory, 9700 South Cass Avenue, Argonne, Illinois 60439, USA.
We prove factorization theorems for exclusive charmonium production in B-meson decay and electron-positron annihilation. These theorems hold for quantum chromodynamics calculations, with specific corrections related to quark masses and energy scales.
Area of Science:
- Particle Physics
- Quantum Chromodynamics
- High Energy Physics
Background:
- Exclusive two-body charmonium production is a key process in particle physics.
- Understanding these processes requires advanced theoretical frameworks like quantum chromodynamics (QCD).
Purpose of the Study:
- To outline the proofs of factorization theorems for exclusive two-body charmonium production.
- To determine the validity and limitations of these theorems in different physical scenarios.
Main Methods:
- All-orders perturbative QCD calculations.
- Analysis of factorization theorems in B-meson decay and electron-positron annihilation.
Main Results:
- Factorization theorems are established for exclusive charmonium production.
- Factorized expressions are valid up to specific orders of corrections: m_c/m_b in B-meson decay and m_c^2/s in e+e- annihilation.
Conclusions:
- The study confirms the applicability of factorization theorems in exclusive charmonium production.
- The derived correction orders provide crucial insights into the precision of these theoretical tools.
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