Short- vs. long-distance physics in $B\to K^{(*)} \ell^+\ell^-$: a data-driven analysis
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866913343036456960 |
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| author | Bordone, Marzia isidori, Gino Mächler, Sandro Tinari, Arianna |
| author_facet | Bordone, Marzia isidori, Gino Mächler, Sandro Tinari, Arianna |
| contents | We analyze data on $B\to Kμ^+μ^-$ and $B\to K^*μ^+μ^-$ decays in the whole dilepton invariant mass spectrum with the aim of disentangling short- vs. long-distance contributions. The sizable long-distance amplitudes from $c \bar{c}$ narrow resonances are taken into account by employing a dispersive approach. For each available $q^2=m_{μμ}^2$ bin and each helicity amplitude an independent determination of the Wilson coefficient $C_9$, describing $b\to s\ell^+\ell^-$ transitions at short distances, is obtained. The consistency of the $C_9$ values thus obtained provides an a posteriori check of the absence of additional, sizable, long-distance contributions. The systematic difference of these values from the Standard Model expectation supports the hypothesis of a non-standard $b\to s μ^+μ^-$ amplitude of short-distance origin. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2401_18007 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Short- vs. long-distance physics in $B\to K^{(*)} \ell^+\ell^-$: a data-driven analysis Bordone, Marzia isidori, Gino Mächler, Sandro Tinari, Arianna High Energy Physics - Phenomenology We analyze data on $B\to Kμ^+μ^-$ and $B\to K^*μ^+μ^-$ decays in the whole dilepton invariant mass spectrum with the aim of disentangling short- vs. long-distance contributions. The sizable long-distance amplitudes from $c \bar{c}$ narrow resonances are taken into account by employing a dispersive approach. For each available $q^2=m_{μμ}^2$ bin and each helicity amplitude an independent determination of the Wilson coefficient $C_9$, describing $b\to s\ell^+\ell^-$ transitions at short distances, is obtained. The consistency of the $C_9$ values thus obtained provides an a posteriori check of the absence of additional, sizable, long-distance contributions. The systematic difference of these values from the Standard Model expectation supports the hypothesis of a non-standard $b\to s μ^+μ^-$ amplitude of short-distance origin. |
| title | Short- vs. long-distance physics in $B\to K^{(*)} \ell^+\ell^-$: a data-driven analysis |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2401.18007 |