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| Main Authors: | , |
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| Format: | Preprint |
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2023
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| Online Access: | https://arxiv.org/abs/2303.17372 |
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| _version_ | 1866929563611693056 |
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| author | Mahajan, Namit Mishra, Dayanand |
| author_facet | Mahajan, Namit Mishra, Dayanand |
| contents | This article explores the calculation of non-perturbative parameters present in the matrix element of semileptonic inclusive $B$ decays. These are important for the inclusive determination of the Cabbibo-Kobayashi-Maskawa (CKM) parameters in the standard model. We focus on calculating the rate for radiative inclusive decay, $B\to X_c\ell \barν_{\ell}γ$, where $γ$ is hard. Both the radiative and non-radiative ($B\to X_c \ell \barν_{\ell}$) modes are found to require the same non-perturbative parameters. We propose forming ratios from $B\to X_c \ell \barν_{\ell}γ$ and $B\to X_c \ell \barν_{\ell}$ widths in different lepton energy ranges. Our results provide an efficient way to unambiguously calculate the non-perturbative parameters, especially when combined with total width calculations of $B\to X_c \ell \barν_{\ell}$. This is shown explicitly by working to $\mathcal{O}(1/m_b)$ and determining $λ_1$ and $λ_2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_17372 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | $B\to X_{c(u)}\ell\barν_{\ell}γ$ and determination of non-perturbative parameters Mahajan, Namit Mishra, Dayanand High Energy Physics - Phenomenology High Energy Physics - Experiment This article explores the calculation of non-perturbative parameters present in the matrix element of semileptonic inclusive $B$ decays. These are important for the inclusive determination of the Cabbibo-Kobayashi-Maskawa (CKM) parameters in the standard model. We focus on calculating the rate for radiative inclusive decay, $B\to X_c\ell \barν_{\ell}γ$, where $γ$ is hard. Both the radiative and non-radiative ($B\to X_c \ell \barν_{\ell}$) modes are found to require the same non-perturbative parameters. We propose forming ratios from $B\to X_c \ell \barν_{\ell}γ$ and $B\to X_c \ell \barν_{\ell}$ widths in different lepton energy ranges. Our results provide an efficient way to unambiguously calculate the non-perturbative parameters, especially when combined with total width calculations of $B\to X_c \ell \barν_{\ell}$. This is shown explicitly by working to $\mathcal{O}(1/m_b)$ and determining $λ_1$ and $λ_2$. |
| title | $B\to X_{c(u)}\ell\barν_{\ell}γ$ and determination of non-perturbative parameters |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2303.17372 |