Bayesian Extraction of HQET Parameters from Inclusive Semi-Leptonic Decay of the $Λ_{c}^{+}$ Baryon
We extract the non-perturbative Heavy Quark Effective Theory (HQET) parameters from the inclusive semi-leptonic decay $Λ_c^+ \to X e^+ ν_e$. Unlike charmed mesons produced near threshold, $Λ_c^+$ baryons produced in $e^+e^-$ annihilation exhibit a complex momentum distribution, making the transformation of the electron energy spectrum from the laboratory frame to the $Λ_c^+$ rest frame non-trivial. To address this, we develop a novel Bayesian inference method to reconstruct the electron energy moments in the $Λ_c^+$ rest frame. By performing a global fit of theoretical predictions in the 1S mass scheme to these extracted moments, we determine the HQET parameters $μ_π^2(Λ_c^+)$ and $ρ_D^3(Λ_c^+)$ for the first time using a purely data-driven approach.