$b \to c$ semileptonic sum rule: exploring a sterile neutrino loophole
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866914396314271744 |
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| author | Endo, Motoi Iguro, Syuhei Kretz, Tim Mishima, Satoshi |
| author_facet | Endo, Motoi Iguro, Syuhei Kretz, Tim Mishima, Satoshi |
| contents | We investigate the $b\to c$ semileptonic sum rule in the presence of a massive sterile neutrino. Recent measurements of charged-current semitauonic $B$-meson decays exhibit a $\sim4σ$ deviation from the Standard Model predictions, whereas no such tension has been reported for the lowest-lying baryonic counterpart, the $Λ_b$ decay. Since these decay rates are related through the sum rule, accommodating such a mismatch beyond the level of uncertainties is nontrivial. We revisit this issue by introducing new interactions involving a sterile neutrino. As the differential decay rates are modified by these new contributions, we evaluate the violation of the sum rule in the presence of a massive sterile neutrino. We find that the induced effect remains small compared with the current experimental uncertainties. Therefore, the sum rule provides a useful consistency check for the experimental data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_15029 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | $b \to c$ semileptonic sum rule: exploring a sterile neutrino loophole Endo, Motoi Iguro, Syuhei Kretz, Tim Mishima, Satoshi High Energy Physics - Phenomenology High Energy Physics - Experiment We investigate the $b\to c$ semileptonic sum rule in the presence of a massive sterile neutrino. Recent measurements of charged-current semitauonic $B$-meson decays exhibit a $\sim4σ$ deviation from the Standard Model predictions, whereas no such tension has been reported for the lowest-lying baryonic counterpart, the $Λ_b$ decay. Since these decay rates are related through the sum rule, accommodating such a mismatch beyond the level of uncertainties is nontrivial. We revisit this issue by introducing new interactions involving a sterile neutrino. As the differential decay rates are modified by these new contributions, we evaluate the violation of the sum rule in the presence of a massive sterile neutrino. We find that the induced effect remains small compared with the current experimental uncertainties. Therefore, the sum rule provides a useful consistency check for the experimental data. |
| title | $b \to c$ semileptonic sum rule: exploring a sterile neutrino loophole |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2603.15029 |