Convergent decay constants for beauty-charm mesons at N³LO in QCD and phenomenological implications

2023/03/05 by Wei Tao, Tao, Wei, Zhen-Jun Xiao +3
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2303.02692

openalex publication_date 2023/03/05 · openalex created_date 2023/03/09 · openalex updated_date 2026/07/28

Abstract

We show the three-loop calculation of the matching coefficients C_J for the four heavy flavor-changing currents in nonrelativistic Quantum Chromodynamics effective theory and confirm the surprising observation of the nonconvergence behaviors of the matching coefficients for beauty-charm mesons. We demonstrate that the higher-order correction to the wave function at origin can solve the nonconvergence problem. By employing the scaling relation, we simultaneously obtain the decay constants for beauty-charm mesons up to the three-loop accuracy and the hyperfine mass splitting in agreement with the experimental data. The perturbative predictions for the leptonic decays of the beauty-charm mesons shall provide a guide in ongoing and future precision heavy flavor experiments.

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