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| Main Authors: | , , |
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| Format: | Preprint |
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2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.13498 |
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| _version_ | 1866912133439029248 |
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| author | Ivanov, Mikhail A. Melikhov, Dmitri Simula, Silvano |
| author_facet | Ivanov, Mikhail A. Melikhov, Dmitri Simula, Silvano |
| contents | We calculate the form factors $F_{V}(q^2,q'^2)$ and $F_{TV}(q^2,q'^2)$ describing the $B_s\to γ^*$ transition induced by the vector and tensor weak currents in a broad range of values of $q^2$ and $q'^2$ far below the quark thresholds in both $q^2$ and $q'^2$ channels. These form factors are calculated via the distribution amplitudes of the $B_s$-meson. We then interpolate the obtained results by a formula that contains pole at $q'^2=M_ϕ^2$ and extract the residue which gives the $B_s\to ϕ$ transition form factors $V(q^2)$ and $T_1(q^2)$. In this way we obtain theoretical predictions for these form factors without invoking quark-hadron duality and QCD sum rules. Furthermore, we calculate the relationship between $V(0)$ and $T_1(0)$ and the parameter $λ_{B_s}(μ)$, the inverse moment of the $B_s$-meson distribution amplitude. Using the available predictions for $V(0)$ and $T_1(0)$ coming from approaches not referring to the $B_s$-meson distribution amplitudes, we obtain the estimate $λ_{B_s}(μ\simeq m_b)=(0.62\pm 0.10)$ GeV. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_13498 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Constraining $λ_{B_s}$ by $B_s\to γ^*$ and $B_s\to ϕ$ form factors Ivanov, Mikhail A. Melikhov, Dmitri Simula, Silvano High Energy Physics - Phenomenology We calculate the form factors $F_{V}(q^2,q'^2)$ and $F_{TV}(q^2,q'^2)$ describing the $B_s\to γ^*$ transition induced by the vector and tensor weak currents in a broad range of values of $q^2$ and $q'^2$ far below the quark thresholds in both $q^2$ and $q'^2$ channels. These form factors are calculated via the distribution amplitudes of the $B_s$-meson. We then interpolate the obtained results by a formula that contains pole at $q'^2=M_ϕ^2$ and extract the residue which gives the $B_s\to ϕ$ transition form factors $V(q^2)$ and $T_1(q^2)$. In this way we obtain theoretical predictions for these form factors without invoking quark-hadron duality and QCD sum rules. Furthermore, we calculate the relationship between $V(0)$ and $T_1(0)$ and the parameter $λ_{B_s}(μ)$, the inverse moment of the $B_s$-meson distribution amplitude. Using the available predictions for $V(0)$ and $T_1(0)$ coming from approaches not referring to the $B_s$-meson distribution amplitudes, we obtain the estimate $λ_{B_s}(μ\simeq m_b)=(0.62\pm 0.10)$ GeV. |
| title | Constraining $λ_{B_s}$ by $B_s\to γ^*$ and $B_s\to ϕ$ form factors |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2407.13498 |