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Heavy-quarkonium creation and annihilation with O(alpha(3)(s)ln(alpha(s)) accuracy
Bernd A Kniehl1, Alexander A Penin, Vladimir A Smirnov
1II Institut für Theoretische Physik, Universität Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany.
Physical Review Letters
|June 6, 2003
Summary
We calculated high-order perturbative corrections for heavy-quarkonium production and annihilation. This research offers new insights into theoretical analysis and anomalous dimensions for vector and pseudoscalar currents.
Area of Science:
- High Energy Physics
- Quantum Chromodynamics
- Particle Physics
Background:
- Heavy quarkonium systems are crucial for testing Quantum Chromodynamics (QCD).
- Understanding production and annihilation rates requires precise theoretical calculations.
- High-order perturbative corrections are essential for accurate predictions.
Purpose of the Study:
- To calculate the O(alpha(3)(s)ln(alpha(s)) contributions to heavy-quarkonium production and annihilation.
- To investigate the structure of high-order perturbative corrections.
- To determine the three-loop anomalous dimensions of nonrelativistic vector and pseudoscalar currents.
Main Methods:
- Perturbative QCD calculations.
- Analysis of high-order corrections.
- Renormalization group techniques for anomalous dimensions.
Main Results:
- The O(alpha(3)(s)ln(alpha(s)) contributions to heavy-quarkonium rates were calculated.
- New insights into the structure of perturbative corrections were obtained.
- The three-loop anomalous dimensions of vector and pseudoscalar currents were determined.
Conclusions:
- The calculations provide a more precise theoretical framework for heavy-quarkonium physics.
- This work opens new avenues for high-precision theoretical analyses in particle physics.
- The determined anomalous dimensions are crucial for future theoretical developments.
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