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Infrared renormalization-group flow for heavy-quark masses
André H Hoang1, Ambar Jain, Ignazio Scimemi
1Max-Planck-Institut für Physik (Werner-Heisenberg-Institut) Föhringer Ring 6, 80805 München, Germany.
Physical Review Letters
|November 13, 2008
Summary
This study introduces a new method for calculating heavy-quark masses using renormalization group equations. This approach improves the stability of mass schemes and helps avoid problematic terms in quantum chromodynamics calculations.
Area of Science:
- High Energy Physics
- Quantum Chromodynamics
- Particle Physics
Background:
- Heavy-quark mass calculations are crucial in particle physics.
- Existing methods face challenges with infrared fluctuations and large logarithmic terms.
- The pole mass scheme has ambiguities related to renormalons.
Purpose of the Study:
- To develop a more stable and reliable method for defining short-distance heavy-quark masses.
- To investigate the role of infrared fluctuations in heavy-quark mass calculations.
- To provide a new approach for studying infrared renormalons.
Main Methods:
- Introducing a scale R to control infrared fluctuation absorption.
- Formulating a renormalization-group equation based on the variable R.
- Utilizing R evolution to improve scheme conversion and analyze renormalons.
Main Results:
- The R evolution parameterizes the radius of perturbative corrections.
- This method enhances the stability of conversions between short-distance mass schemes.
- It offers a way to study infrared renormalons without bubble chains, leading to a convergent sum rule.
Conclusions:
- R evolution provides a robust framework for heavy-quark mass definition.
- This approach mitigates issues with large logarithms and renormalons.
- The study offers a novel perspective on understanding infrared divergences in quantum chromodynamics.
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