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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.15447 |
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| _version_ | 1866918299403550720 |
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| author | Broggio, A. Capdevila, B. Ferroglia, A. Gambino, P. |
| author_facet | Broggio, A. Capdevila, B. Ferroglia, A. Gambino, P. |
| contents | We present a study of the inclusive charmless semileptonic $b$ decay, $b\to X_u\ell\barν$ at next-to-next-to-leading order (NNLO) in perturbative QCD, with the primary aim of extracting the hadronic structure functions $W_i$ at NNLO. The analysis is based on a numerical calculation of the relevant kinematic distributions using a phase-space slicing method to handle infrared-sensitive contributions from real gluon emissions. We use known results from Heavy Quark Effective Theory and Soft-Collinear Effective Theory to extract the singular terms and construct a model for the regular contributions to the structure functions at NNLO, then perform a fit to the numerical results. We use our approximate structure functions to compute various kinematic distributions and moments: the comparison with existing analytic and numerical results shows very good agreement, which is further improved including the available analytic results in the fit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_15447 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Structure functions for the inclusive semileptonic $b$-quark decay at NNLO: a semi-analytic calculation Broggio, A. Capdevila, B. Ferroglia, A. Gambino, P. High Energy Physics - Phenomenology We present a study of the inclusive charmless semileptonic $b$ decay, $b\to X_u\ell\barν$ at next-to-next-to-leading order (NNLO) in perturbative QCD, with the primary aim of extracting the hadronic structure functions $W_i$ at NNLO. The analysis is based on a numerical calculation of the relevant kinematic distributions using a phase-space slicing method to handle infrared-sensitive contributions from real gluon emissions. We use known results from Heavy Quark Effective Theory and Soft-Collinear Effective Theory to extract the singular terms and construct a model for the regular contributions to the structure functions at NNLO, then perform a fit to the numerical results. We use our approximate structure functions to compute various kinematic distributions and moments: the comparison with existing analytic and numerical results shows very good agreement, which is further improved including the available analytic results in the fit. |
| title | Structure functions for the inclusive semileptonic $b$-quark decay at NNLO: a semi-analytic calculation |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2601.15447 |