Complete O α s 2 $$ \mathcal{O}\left({\alpha}_s^2\right) $$ corrections to the leptonic invariant mass spectrum in b → X c l ν ¯ l $$ b\to {X}_cl{\overline{\nu}}_l $$ decay
Abstract In the determination of the Cabibbo-Kobayashi-Maskawa matrix element |V cb | from inclusive semileptonic B-meson decays, moments of the leptonic invariant mass spectrum constitute valuable observables. To evaluate them with sufficient precision, perturbative O α s 2 $$ \mathcal{O}\left({\al...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP02(2025)021 |
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| Summary: | Abstract In the determination of the Cabibbo-Kobayashi-Maskawa matrix element |V cb | from inclusive semileptonic B-meson decays, moments of the leptonic invariant mass spectrum constitute valuable observables. To evaluate them with sufficient precision, perturbative O α s 2 $$ \mathcal{O}\left({\alpha}_s^2\right) $$ corrections to the analogous spectrum in the partonic b → X c l ν ¯ l $$ b\to {X}_cl{\overline{\nu}}_l $$ decay are necessary. In the present paper, we compute such perturbative corrections in a complete manner, including contributions from the triple-charm channel, namely from the cc c ¯ l ν ¯ l $$ cc\overline{c}l{\overline{\nu}}_l $$ final states. We present our results in terms of numerical fits in both the single- and triple-charm cases. We confirm the recently found results for the single-charm correction, and analyze the triple-charm channel impact on centralized moments of the spectrum. |
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| ISSN: | 1029-8479 |