QCD corrections to the Darwin coefficient in inclusive semileptonic $B\rightarrow X_u \ell \barν_\ell$ decays
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866916143527100416 |
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| author | Moreno, Daniel |
| author_facet | Moreno, Daniel |
| contents | In this paper we compute $α_s$ corrections to the matching coefficients of the dimension six operators in the Heavy Quark Expansion of the inclusive semileptonic heavy hadron decay rate and leptonic invariant mass spectrum with a massless quark and both a massive or massless lepton in the final state, analytically. The obtained results can be applied to the inclusive semileptonic $B\rightarrow X_u \ell \barν_\ell$ ($\ell = e,\,μ,\,τ$) and $D\rightarrow X \ell \barν_\ell$ ($\ell = e,\,μ$) decays. The main application of our results is the background subtraction of the $B\rightarrow X_u \ell \barν_\ell$ decay in the measurement of the $B\rightarrow X_c\ell \barν_\ell$ decay, which is important for the precise extraction of $V_{cb}$ and $R(D^{(*)})$. They also play a role in the computation of lifetimes of heavy hadrons. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_13805 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | QCD corrections to the Darwin coefficient in inclusive semileptonic $B\rightarrow X_u \ell \barν_\ell$ decays Moreno, Daniel High Energy Physics - Phenomenology In this paper we compute $α_s$ corrections to the matching coefficients of the dimension six operators in the Heavy Quark Expansion of the inclusive semileptonic heavy hadron decay rate and leptonic invariant mass spectrum with a massless quark and both a massive or massless lepton in the final state, analytically. The obtained results can be applied to the inclusive semileptonic $B\rightarrow X_u \ell \barν_\ell$ ($\ell = e,\,μ,\,τ$) and $D\rightarrow X \ell \barν_\ell$ ($\ell = e,\,μ$) decays. The main application of our results is the background subtraction of the $B\rightarrow X_u \ell \barν_\ell$ decay in the measurement of the $B\rightarrow X_c\ell \barν_\ell$ decay, which is important for the precise extraction of $V_{cb}$ and $R(D^{(*)})$. They also play a role in the computation of lifetimes of heavy hadrons. |
| title | QCD corrections to the Darwin coefficient in inclusive semileptonic $B\rightarrow X_u \ell \barν_\ell$ decays |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2402.13805 |