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

TL;DR

This paper derives $1/m_Q$ corrections to the chiral effective Lagrangian for heavy-light mesons from QCD, improving predictions of meson properties and decay constants by including finite heavy quark mass effects.

Contribution

It provides a derivation of $1/m_Q$ corrections from QCD and expresses low energy constants in terms of quark self-energy and heavy quark mass, with numerical results.

Findings

Improved predictions for pion decay constant.

More accurate heavy-light meson mass calculations.

Enhanced coherence with experimental data.

Abstract

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.