Kinetic Heavy Quark Mass to Three Loops

Area of Science:

• High Energy Physics
• Quantum Chromodynamics
• Particle Physics

Background:

• Heavy quark masses are fundamental parameters in the Standard Model.
• Precise mass definitions are crucial for theoretical calculations and experimental comparisons.
• Discrepancies exist between different mass renormalization schemes.

Purpose of the Study:

• To compute three-loop corrections to the relation between pole and kinetic heavy quark mass schemes.
• To establish precise relations between kinetic and MS-bar charm and bottom quark masses.
• To improve the precision of |Vcb| determination at Belle II.

Main Methods:

• Perturbative QCD calculations at three-loop order.
• Utilizing known relations between pole and MS-bar quark masses.
• Renormalization group techniques.

Main Results:

• Computed three-loop corrections to the pole-kinetic mass relation.
• Established precise relations between kinetic and MS-bar charm and bottom quark masses.
• Achieved a 2-3 times improvement in precision compared to two-loop calculations.

Conclusions:

• The computed three-loop corrections significantly enhance the precision of heavy quark mass relations.
• These results are vital for accurate determination of the CKM matrix element |Vcb|.
• The improved precision will benefit ongoing and future experiments like Belle II.