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Strong D* -> D+pi and B* -> B+pi couplings
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We compute g_{D* D pi} and g_{B* B pi} using a framework in which all elements are constrained by Dyson-Schwinger equation studies of QCD, and therefore incorporates a consistent, direct and simultaneous description of light- and heavy-quarks and the states they may constitute. We link these couplings with the heavy-light-meson leptonic decay constants, and thereby obtain g_{D* D pi}=15.9+2.1/-1.0 and g_{B* B pi}=30.0+3.2/-1.4. From the latter we infer \hat-g_B=0.37+0.04/-0.02. A comparison between g_{D* D pi} and g_{B* B pi} indicates that when the c-quark is a system's heaviest constituent, Lambda_{QCD}/m_c-corrections are not under good control.
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$D^* D \pi$ and $B^* B \pi$ couplings from Dyson-Schwinger equations framework
A Dyson-Schwinger/Bethe-Salpeter calculation predicts g_D*Dpi = 16.22 and g_B*Bpi = 40.09, with static couplings consistent with lattice results.
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