Inclusive semileptonic b → c ℓ ν ¯ $$ b\to c\ell \overline{\nu} $$ decays to order 1 / m b 5 $$ 1/{m}_b^5 $$
Abstract Inclusive semileptonic B → X c ℓ ν ¯ $$ B\to {X}_c\ell \overline{\nu} $$ decays can be described in the Heavy Quark Expansion (HQE) and allow for a precision determination of the CKM element |V cb |. We calculate the terms of 1 / m b 5 $$ 1/{m}_b^5 $$ and derive a “trace formula” which allo...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP02(2024)226 |
| _version_ | 1797276040112898048 |
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| author | Thomas Mannel Ilija S. Milutin K. Keri Vos |
| author_facet | Thomas Mannel Ilija S. Milutin K. Keri Vos |
| author_sort | Thomas Mannel |
| collection | DOAJ |
| description | Abstract Inclusive semileptonic B → X c ℓ ν ¯ $$ B\to {X}_c\ell \overline{\nu} $$ decays can be described in the Heavy Quark Expansion (HQE) and allow for a precision determination of the CKM element |V cb |. We calculate the terms of 1 / m b 5 $$ 1/{m}_b^5 $$ and derive a “trace formula” which allows for the computation of the decay rate and kinematic moments of the spectrum up to this order in the HQE. We focus specifically on the reparametrization invariant (RPI) dilepton invariant mass q 2 moments of the spectrum, which depend on a reduced set of HQE parameters. At this order, “intrinsic charm” (IC) contributions proportional to 1 / m b 3 m c 2 $$ 1/\left({m}_b^3{m}_c^2\right) $$ enter, which are numerically expected to be sizeable. Using the “lowest-lying state saturation ansatz” (LLSA), we estimate the size of these contributions. Within this approximation, we observe a partial cancellation between the IC and the “genuine” 1 / m b 5 $$ 1/{m}_b^5 $$ contributions, resulting in a small overall contribution. |
| first_indexed | 2024-03-07T15:22:37Z |
| format | Article |
| id | doaj.art-1fae35d35b0641478adea26343a9fdbb |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-07T15:22:37Z |
| publishDate | 2024-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-1fae35d35b0641478adea26343a9fdbb2024-03-05T17:29:21ZengSpringerOpenJournal of High Energy Physics1029-84792024-02-012024213210.1007/JHEP02(2024)226Inclusive semileptonic b → c ℓ ν ¯ $$ b\to c\ell \overline{\nu} $$ decays to order 1 / m b 5 $$ 1/{m}_b^5 $$Thomas Mannel0Ilija S. Milutin1K. Keri Vos2Theoretische Physik 1, Center for Particle Physics Siegen, Universität SiegenTheoretische Physik 1, Center for Particle Physics Siegen, Universität SiegenGravitational Waves and Fundamental Physics (GWFP), Maastricht UniversityAbstract Inclusive semileptonic B → X c ℓ ν ¯ $$ B\to {X}_c\ell \overline{\nu} $$ decays can be described in the Heavy Quark Expansion (HQE) and allow for a precision determination of the CKM element |V cb |. We calculate the terms of 1 / m b 5 $$ 1/{m}_b^5 $$ and derive a “trace formula” which allows for the computation of the decay rate and kinematic moments of the spectrum up to this order in the HQE. We focus specifically on the reparametrization invariant (RPI) dilepton invariant mass q 2 moments of the spectrum, which depend on a reduced set of HQE parameters. At this order, “intrinsic charm” (IC) contributions proportional to 1 / m b 3 m c 2 $$ 1/\left({m}_b^3{m}_c^2\right) $$ enter, which are numerically expected to be sizeable. Using the “lowest-lying state saturation ansatz” (LLSA), we estimate the size of these contributions. Within this approximation, we observe a partial cancellation between the IC and the “genuine” 1 / m b 5 $$ 1/{m}_b^5 $$ contributions, resulting in a small overall contribution.https://doi.org/10.1007/JHEP02(2024)226Bottom QuarksCKM ParametersSemi-Leptonic Decays |
| spellingShingle | Thomas Mannel Ilija S. Milutin K. Keri Vos Inclusive semileptonic b → c ℓ ν ¯ $$ b\to c\ell \overline{\nu} $$ decays to order 1 / m b 5 $$ 1/{m}_b^5 $$ Journal of High Energy Physics Bottom Quarks CKM Parameters Semi-Leptonic Decays |
| title | Inclusive semileptonic b → c ℓ ν ¯ $$ b\to c\ell \overline{\nu} $$ decays to order 1 / m b 5 $$ 1/{m}_b^5 $$ |
| title_full | Inclusive semileptonic b → c ℓ ν ¯ $$ b\to c\ell \overline{\nu} $$ decays to order 1 / m b 5 $$ 1/{m}_b^5 $$ |
| title_fullStr | Inclusive semileptonic b → c ℓ ν ¯ $$ b\to c\ell \overline{\nu} $$ decays to order 1 / m b 5 $$ 1/{m}_b^5 $$ |
| title_full_unstemmed | Inclusive semileptonic b → c ℓ ν ¯ $$ b\to c\ell \overline{\nu} $$ decays to order 1 / m b 5 $$ 1/{m}_b^5 $$ |
| title_short | Inclusive semileptonic b → c ℓ ν ¯ $$ b\to c\ell \overline{\nu} $$ decays to order 1 / m b 5 $$ 1/{m}_b^5 $$ |
| title_sort | inclusive semileptonic b c l ν ¯ b to c ell overline nu decays to order 1 m b 5 1 m b 5 |
| topic | Bottom Quarks CKM Parameters Semi-Leptonic Decays |
| url | https://doi.org/10.1007/JHEP02(2024)226 |
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