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As a successive work to [Phys.Rev.D 102 (2020), 034034], we derive the$1/m_Q$ corrections to chiral effective Lagrangian for heavy-light mesons fromQCD under proper approximations. The low energy constants in the effectiveLagrangian are expressed in terms of the light quark self-energy and heavyquark mass $m_Q$. Numerical results of the low energy constants with $1/m_Q$corrections are given. We find that the results of pion decay constant and themasses of heavy-light mesons are improved coherently compared to that obtainedin the heavy quark limit.

Chiral effective Lagrangian for heavy-light mesons from QCD: $1/m_{Q}$ correction