NNLO QCD corrections to the $q^2$ spectrum of inclusive semileptonic $B$-meson decays
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913256567734272 |
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| author | Fael, Matteo Herren, Florian |
| author_facet | Fael, Matteo Herren, Florian |
| contents | We calculate the next-to-next-to-leading order QCD corrections to the leptonic invariant mass ($q^2$) spectrum of semileptonic $b \to c$ inclusive decays, taking into account the mass of the charm quark and the charged lepton in the final state. We obtain analytic results in terms of generalized polylogarithms and present numerical studies of the $\mathcal{O}(α_s^2)$ corrections to the $q^2$ spectrum of $b \to c \ell \bar ν_\ell$ decays, for $\ell =e, μ$ and $τ$, in the kinetic scheme. Our computation can be used to incorporate the recent measurements of $q^2$ moments by Belle and Belle II into global fits of inclusive semileptonic $B$-decays. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_03976 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | NNLO QCD corrections to the $q^2$ spectrum of inclusive semileptonic $B$-meson decays Fael, Matteo Herren, Florian High Energy Physics - Phenomenology High Energy Physics - Experiment We calculate the next-to-next-to-leading order QCD corrections to the leptonic invariant mass ($q^2$) spectrum of semileptonic $b \to c$ inclusive decays, taking into account the mass of the charm quark and the charged lepton in the final state. We obtain analytic results in terms of generalized polylogarithms and present numerical studies of the $\mathcal{O}(α_s^2)$ corrections to the $q^2$ spectrum of $b \to c \ell \bar ν_\ell$ decays, for $\ell =e, μ$ and $τ$, in the kinetic scheme. Our computation can be used to incorporate the recent measurements of $q^2$ moments by Belle and Belle II into global fits of inclusive semileptonic $B$-decays. |
| title | NNLO QCD corrections to the $q^2$ spectrum of inclusive semileptonic $B$-meson decays |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2403.03976 |