Semileptonic sum rules in heavy-to-light charm decays
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866910243239231488 |
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| author | Endo, Motoi Iguro, Syuhei Mishima, Satoshi Uchiyama, Takeru Watanabe, Ryoutaro |
| author_facet | Endo, Motoi Iguro, Syuhei Mishima, Satoshi Uchiyama, Takeru Watanabe, Ryoutaro |
| contents | We investigate semileptonic sum rules in heavy-to-light charm decays, motivated by analogous relations in $b \to c$ and $b \to u$ transitions. Focusing on the $c \to d\overline{\ell}ν$ decays, $D \to π\overline{\ell}ν$, $D \to ρ\overline{\ell}ν$, and $Λ_c \to n\overline{\ell}ν$, we examine a relation among their lepton-flavor universality ratios $R_H^{μe}$. Although the charm sum rule is less precise than the relations in bottom-hadron decays, current low-energy and high-$p_T$ constraints on new physics restrict the actual deviation from the relation to below the percent level. The relation can therefore provide a useful consistency check of charm semileptonic measurements. As an application, we derive a prediction for the yet-unmeasured ratio $R_n^{μe}$ in $Λ_c \to n\overline{\ell}ν$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_21908 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Semileptonic sum rules in heavy-to-light charm decays Endo, Motoi Iguro, Syuhei Mishima, Satoshi Uchiyama, Takeru Watanabe, Ryoutaro High Energy Physics - Phenomenology High Energy Physics - Experiment We investigate semileptonic sum rules in heavy-to-light charm decays, motivated by analogous relations in $b \to c$ and $b \to u$ transitions. Focusing on the $c \to d\overline{\ell}ν$ decays, $D \to π\overline{\ell}ν$, $D \to ρ\overline{\ell}ν$, and $Λ_c \to n\overline{\ell}ν$, we examine a relation among their lepton-flavor universality ratios $R_H^{μe}$. Although the charm sum rule is less precise than the relations in bottom-hadron decays, current low-energy and high-$p_T$ constraints on new physics restrict the actual deviation from the relation to below the percent level. The relation can therefore provide a useful consistency check of charm semileptonic measurements. As an application, we derive a prediction for the yet-unmeasured ratio $R_n^{μe}$ in $Λ_c \to n\overline{\ell}ν$. |
| title | Semileptonic sum rules in heavy-to-light charm decays |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2605.21908 |