Heavy quark symmetry behind $b \to c$ semileptonic sum rule
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866918022998917120 |
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| author | Endo, Motoi Iguro, Syuhei Mishima, Satoshi Watanabe, Ryoutaro |
| author_facet | Endo, Motoi Iguro, Syuhei Mishima, Satoshi Watanabe, Ryoutaro |
| contents | Lepton flavor universality violations in semileptonic $b \to c$ transitions have garnered attention over a decade. For $R_{H_c}={\rm{BR}}(H_b\to H_c τ\barν_τ)/{\rm{BR}}(H_b\to H_c \ell\barν_\ell)$ with $\ell$ being $e,\, μ$, a sum rule among $R_{D}$, $R_{D^*}$ and $R_{Λ_c}$ was proposed to check consistency in the experimental results independently of new physics models. We revisit this relation from the perspective of the heavy quark symmetry. We derive a sum rule holding exactly in the heavy quark limit and clarify how model-dependent corrections are introduced in a realistic situation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_09382 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Heavy quark symmetry behind $b \to c$ semileptonic sum rule Endo, Motoi Iguro, Syuhei Mishima, Satoshi Watanabe, Ryoutaro High Energy Physics - Phenomenology High Energy Physics - Experiment Lepton flavor universality violations in semileptonic $b \to c$ transitions have garnered attention over a decade. For $R_{H_c}={\rm{BR}}(H_b\to H_c τ\barν_τ)/{\rm{BR}}(H_b\to H_c \ell\barν_\ell)$ with $\ell$ being $e,\, μ$, a sum rule among $R_{D}$, $R_{D^*}$ and $R_{Λ_c}$ was proposed to check consistency in the experimental results independently of new physics models. We revisit this relation from the perspective of the heavy quark symmetry. We derive a sum rule holding exactly in the heavy quark limit and clarify how model-dependent corrections are introduced in a realistic situation. |
| title | Heavy quark symmetry behind $b \to c$ semileptonic sum rule |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2501.09382 |