The $B_{s}\to μ^{+}μ^{-}γ$ decay rate at large $q^{2}$ from lattice QCD
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| Autores principales: | , , , , , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866914669675937792 |
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| author | Frezzotti, R. Gagliardi, G. Lubicz, V. Martinelli, G. Sachrajda, C. T. Sanfilippo, F. Simula, S. Tantalo, N. |
| author_facet | Frezzotti, R. Gagliardi, G. Lubicz, V. Martinelli, G. Sachrajda, C. T. Sanfilippo, F. Simula, S. Tantalo, N. |
| contents | We determine, by means of lattice QCD calculations, the local form factors describing the $B_{s}\to μ^{+}μ^{-}γ$ decay. For this analysis we make use of the gauge configurations produced by the ETM Collaboration with $N_{f}=2+1+1$ flavour of Wilson-Clover twisted-mass fermions at maximal twist. To obtain the $B_{s}$ meson form-factors, we perform simulations for several heavy-strange meson masses $m_{H_{s}}$ in the range $m_{H_{s}} \in [ m_{D_{s}}, 2 m_{D_{s}} ]$, and extrapolate to the physical $B_{s}$ meson point $m_{B_{s}}\simeq 5.367~{\rm GeV}$ making use of the HQET scaling laws. We cover the region of large di-muon invariant masses $\sqrt{q^{2}} > 4.16\,{\rm GeV}$, and use our results to determine the branching fraction for $B_{s}\to μ^{+}μ^{-}γ$, which has been recently measured by LHCb in the region $\sqrt{q^{2}} > 4.9\,{\rm GeV}$. The largest contribution to the uncertainty in the partial branching fractions at values of $\sqrt{q^{2}} < 4.8\,{\rm GeV}$ is now due to resonance and other long-distance effects, including those from "charming penguins", which we estimate by summing over the contributions from the $J_P=1^-$ charmonium resonances. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_03262 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The $B_{s}\to μ^{+}μ^{-}γ$ decay rate at large $q^{2}$ from lattice QCD Frezzotti, R. Gagliardi, G. Lubicz, V. Martinelli, G. Sachrajda, C. T. Sanfilippo, F. Simula, S. Tantalo, N. High Energy Physics - Lattice High Energy Physics - Phenomenology We determine, by means of lattice QCD calculations, the local form factors describing the $B_{s}\to μ^{+}μ^{-}γ$ decay. For this analysis we make use of the gauge configurations produced by the ETM Collaboration with $N_{f}=2+1+1$ flavour of Wilson-Clover twisted-mass fermions at maximal twist. To obtain the $B_{s}$ meson form-factors, we perform simulations for several heavy-strange meson masses $m_{H_{s}}$ in the range $m_{H_{s}} \in [ m_{D_{s}}, 2 m_{D_{s}} ]$, and extrapolate to the physical $B_{s}$ meson point $m_{B_{s}}\simeq 5.367~{\rm GeV}$ making use of the HQET scaling laws. We cover the region of large di-muon invariant masses $\sqrt{q^{2}} > 4.16\,{\rm GeV}$, and use our results to determine the branching fraction for $B_{s}\to μ^{+}μ^{-}γ$, which has been recently measured by LHCb in the region $\sqrt{q^{2}} > 4.9\,{\rm GeV}$. The largest contribution to the uncertainty in the partial branching fractions at values of $\sqrt{q^{2}} < 4.8\,{\rm GeV}$ is now due to resonance and other long-distance effects, including those from "charming penguins", which we estimate by summing over the contributions from the $J_P=1^-$ charmonium resonances. |
| title | The $B_{s}\to μ^{+}μ^{-}γ$ decay rate at large $q^{2}$ from lattice QCD |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2402.03262 |