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

7 Dec 2020  ·  Qing-Sen Chen, Hui-Feng Fu, Yong-Liang Ma, Qing Wang ·

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 from QCD under proper approximations. The low energy constants in the effective Lagrangian are expressed in terms of the light quark self-energy and heavy quark 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 the masses of heavy-light mesons are improved coherently compared to that obtained in the heavy quark limit.

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High Energy Physics - Phenomenology