Data determination of HQET parameters in inclusive charm decays
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866909485432307712 |
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| author | Shao, Kang-Kang Huang, Chun Qin, Qin |
| author_facet | Shao, Kang-Kang Huang, Chun Qin, Qin |
| contents | This work delves into the phenomenology of electronic inclusive decays of $D$ mesons, encompassing $D^0, D^+, D^+_s\to Xe^{+}ν$. The theoretical formulas for the decay widths and electron energy moments of these decays are presented as expansions with powers of $α_s$ and $Λ_{\rm QCD}/m_c$. Remarkably, the expansion exhibits excellent convergence properties when we choose the 1S mass scheme for charm. The formulas are subsequently fitted to experimental data, and the $D$ meson matrix elements of operators in the heavy quark effective theory are hence determined by data for the first time, including \begin{align} μ^2_π(D^{0,+}) &= (0.09\pm 0.05) \mathrm{GeV}^2, \qquad \qquad μ^2_π(D^{+}_s) = (0.11\pm 0.05) \mathrm{GeV}^2, \nonumber \\ μ^2_G(D^{0,+}) &= (0.32\pm 0.02) \mathrm{GeV}^2, \qquad \qquad μ^2_G(D^{+}_s) = (0.43\pm 0.02) \mathrm{GeV}^2, \nonumber \\ ρ_D^3(D^{0,+}) &= (-0.003\pm 0.002) \mathrm{GeV}^3, \qquad\ ρ_D^3(D^{+}_s) = (-0.004\pm 0.002) \mathrm{GeV}^3, \nonumber \\ ρ_{LS}^3(D^{0,+}) &= (0.004\pm 0.002) \mathrm{GeV}^3, \qquad \ \ \ ρ_{LS}^3(D^{+}_s) = (0.005\pm 0.002) \mathrm{GeV}^3 . \nonumber \end{align} These determined parameters will play a crucial role as inputs in various physical quantities, including $D$ meson lifetimes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_05901 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Data determination of HQET parameters in inclusive charm decays Shao, Kang-Kang Huang, Chun Qin, Qin High Energy Physics - Phenomenology This work delves into the phenomenology of electronic inclusive decays of $D$ mesons, encompassing $D^0, D^+, D^+_s\to Xe^{+}ν$. The theoretical formulas for the decay widths and electron energy moments of these decays are presented as expansions with powers of $α_s$ and $Λ_{\rm QCD}/m_c$. Remarkably, the expansion exhibits excellent convergence properties when we choose the 1S mass scheme for charm. The formulas are subsequently fitted to experimental data, and the $D$ meson matrix elements of operators in the heavy quark effective theory are hence determined by data for the first time, including \begin{align} μ^2_π(D^{0,+}) &= (0.09\pm 0.05) \mathrm{GeV}^2, \qquad \qquad μ^2_π(D^{+}_s) = (0.11\pm 0.05) \mathrm{GeV}^2, \nonumber \\ μ^2_G(D^{0,+}) &= (0.32\pm 0.02) \mathrm{GeV}^2, \qquad \qquad μ^2_G(D^{+}_s) = (0.43\pm 0.02) \mathrm{GeV}^2, \nonumber \\ ρ_D^3(D^{0,+}) &= (-0.003\pm 0.002) \mathrm{GeV}^3, \qquad\ ρ_D^3(D^{+}_s) = (-0.004\pm 0.002) \mathrm{GeV}^3, \nonumber \\ ρ_{LS}^3(D^{0,+}) &= (0.004\pm 0.002) \mathrm{GeV}^3, \qquad \ \ \ ρ_{LS}^3(D^{+}_s) = (0.005\pm 0.002) \mathrm{GeV}^3 . \nonumber \end{align} These determined parameters will play a crucial role as inputs in various physical quantities, including $D$ meson lifetimes. |
| title | Data determination of HQET parameters in inclusive charm decays |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2502.05901 |