Bayesian Extraction of HQET Parameters from Inclusive Semi-Leptonic Decay of the $Λ_{c}^{+}$ Baryon
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| Format: | Preprint |
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2025
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| _version_ | 1866908701710876672 |
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| author | Shao, Kangkang Xiao, Dong |
| author_facet | Shao, Kangkang Xiao, Dong |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_08559 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bayesian Extraction of HQET Parameters from Inclusive Semi-Leptonic Decay of the $Λ_{c}^{+}$ Baryon Shao, Kangkang Xiao, Dong High Energy Physics - Phenomenology High Energy Physics - Theory 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. |
| title | Bayesian Extraction of HQET Parameters from Inclusive Semi-Leptonic Decay of the $Λ_{c}^{+}$ Baryon |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.08559 |