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 $$ \mathcal{O}\left({\al...
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| Format: | Article |
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2025-02-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP02(2025)021 |
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| author | Mateusz Czaja Mikołaj Misiak Abdur Rehman |
| author_facet | Mateusz Czaja Mikołaj Misiak Abdur Rehman |
| author_sort | Mateusz Czaja |
| collection | DOAJ |
| description | Abstract In the determination of the Cabibbo-Kobayashi-Maskawa matrix element |V cb | from inclusive semileptonic B-meson decays, moments of the leptonic invariant mass spectrum constitute valuable observables. To evaluate them with sufficient precision, perturbative O α s 2 $$ \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 $$ final states. We present our results in terms of numerical fits in both the single- and triple-charm cases. We confirm the recently found results for the single-charm correction, and analyze the triple-charm channel impact on centralized moments of the spectrum. |
| format | Article |
| id | doaj-art-edbbfc443d7a41b9bb390d35e4a927da |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-edbbfc443d7a41b9bb390d35e4a927da2025-02-09T12:08:28ZengSpringerOpenJournal of High Energy Physics1029-84792025-02-012025211910.1007/JHEP02(2025)021Complete O α s 2 $$ \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 $$ decayMateusz Czaja0Mikołaj Misiak1Abdur Rehman2Institute of Theoretical Physics, Faculty of Physics, University of WarsawInstitute of Theoretical Physics, Faculty of Physics, University of WarsawDepartment of Physics, University of AlbertaAbstract In the determination of the Cabibbo-Kobayashi-Maskawa matrix element |V cb | from inclusive semileptonic B-meson decays, moments of the leptonic invariant mass spectrum constitute valuable observables. To evaluate them with sufficient precision, perturbative O α s 2 $$ \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 $$ final states. We present our results in terms of numerical fits in both the single- and triple-charm cases. We confirm the recently found results for the single-charm correction, and analyze the triple-charm channel impact on centralized moments of the spectrum.https://doi.org/10.1007/JHEP02(2025)021Bottom QuarksCKM ParametersSemi-Leptonic Decays |
| spellingShingle | Mateusz Czaja Mikołaj Misiak Abdur Rehman Complete O α s 2 $$ \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 $$ decay Journal of High Energy Physics Bottom Quarks CKM Parameters Semi-Leptonic Decays |
| title | Complete O α s 2 $$ \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 $$ decay |
| title_full | Complete O α s 2 $$ \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 $$ decay |
| title_fullStr | Complete O α s 2 $$ \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 $$ decay |
| title_full_unstemmed | Complete O α s 2 $$ \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 $$ decay |
| title_short | Complete O α s 2 $$ \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 |
| title_sort | 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 |
| topic | Bottom Quarks CKM Parameters Semi-Leptonic Decays |
| url | https://doi.org/10.1007/JHEP02(2025)021 |
| work_keys_str_mv | AT mateuszczaja completeoas2mathcaloleftalphas2rightcorrectionstotheleptonicinvariantmassspectruminbxclnlbtoxcloverlinenuldecay AT mikołajmisiak completeoas2mathcaloleftalphas2rightcorrectionstotheleptonicinvariantmassspectruminbxclnlbtoxcloverlinenuldecay AT abdurrehman completeoas2mathcaloleftalphas2rightcorrectionstotheleptonicinvariantmassspectruminbxclnlbtoxcloverlinenuldecay |