D^* D π and B^* B π couplings from Dyson-Schwinger equations framework

2024/11/19 by Yin-Zhen Xu, Xu, Yin-Zhen, Khépani Raya +1
Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2411.12327

openalex publication_date 2024/11/19 · openalex created_date 2024/11/21 · openalex updated_date 2026/07/28

Abstract

Employing a unified Dyson-Schwinger/Bethe-Salpeter equations approach, we calculate the strong decay couplings D^* D π and B^* B π within the so-called impulse-approximation in the moving frame. The B^* B π estimation is reported for the first time based on a Poincaré invariant computation of the associated Bethe-Salpeter amplitudes. Our predictions yield g_{D^* D π}=16.22_-0.01^+0.03 and g_{B^* B π}=40.09_-1.37^+1.51, along with corresponding static strong couplings of g_D=0.55_-<0.01^+<0.01, g_B=0.50_-0.02^+0.02, which are consistent with recent experimental and lattice data.

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