Constructing heavy-quark sum rule for $b \to c$ meson and baryon decays
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| Format: | Preprint |
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2025
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| _version_ | 1866911376480403456 |
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| author | Endo, Motoi Iguro, Syuhei Mishima, Satoshi Watanabe, Ryoutaro |
| author_facet | Endo, Motoi Iguro, Syuhei Mishima, Satoshi Watanabe, Ryoutaro |
| contents | We study heavy-hadron semileptonic decays proceeding via $b \to c$ transition, such as $B \to D^{(*)}τ\barν_τ$ and $Λ_b \to Λ_cτ\barν_τ$. In the heavy-quark limit, where the heavy-quark symmetry holds, we provide a fundamental framework for heavy-quark sum rules among these decays based on the spin decomposition picture. The relation holds directly for the squared amplitudes without requiring phase-space integration. We then apply this relation to reproduce the sum rule among $B \to D^{(*)}τ\barν_τ$ and $Λ_b \to Λ_cτ\barν_τ$. Furthermore, we derive new sum rules for $Ω_b \to Ω_c^{(*)}$ transitions and those involving excited states, such as $B \to \{D_0^*,D_1^*\}$ and $B \to \{D_1,D_2^*\}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_02006 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Constructing heavy-quark sum rule for $b \to c$ meson and baryon decays Endo, Motoi Iguro, Syuhei Mishima, Satoshi Watanabe, Ryoutaro High Energy Physics - Phenomenology We study heavy-hadron semileptonic decays proceeding via $b \to c$ transition, such as $B \to D^{(*)}τ\barν_τ$ and $Λ_b \to Λ_cτ\barν_τ$. In the heavy-quark limit, where the heavy-quark symmetry holds, we provide a fundamental framework for heavy-quark sum rules among these decays based on the spin decomposition picture. The relation holds directly for the squared amplitudes without requiring phase-space integration. We then apply this relation to reproduce the sum rule among $B \to D^{(*)}τ\barν_τ$ and $Λ_b \to Λ_cτ\barν_τ$. Furthermore, we derive new sum rules for $Ω_b \to Ω_c^{(*)}$ transitions and those involving excited states, such as $B \to \{D_0^*,D_1^*\}$ and $B \to \{D_1,D_2^*\}$. |
| title | Constructing heavy-quark sum rule for $b \to c$ meson and baryon decays |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2509.02006 |