NLO analysis of the subleading-power $Q_1-Q_{7γ}$ interference in $\bar{B}\to X_sγ$ at large photon energies
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866917030688456704 |
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| author | Bartocci, Riccardo Böer, Philipp Hurth, Tobias |
| author_facet | Bartocci, Riccardo Böer, Philipp Hurth, Tobias |
| contents | We report on progress towards including next-to-leading order (NLO) radiative corrections to the subleading-power factorization formula for the $Q_1^{q}-Q_{7γ}$ interference contribution in $\bar{B}\to X_sγ$ at large photon energies, $m_b - 2E_γ= \mathcal{O}(Λ_{\rm QCD})$. The novel ingredients for a NLO analysis are the one-loop anomalous dimension of the subleading shape function $g_{17}(ω,ω_1;μ)$, which was recently computed by us, and the two-loop corrections to the jet function with an internal charm loop. Here we summarize the renormalization of $g_{17}(ω,ω_1;μ)$, and further discuss that our insights allow for a simplified renormalization of a specific generalization of a three-particle $B$-meson light-cone distribution amplitude, but with non-aligned light-like separations of the fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_18811 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | NLO analysis of the subleading-power $Q_1-Q_{7γ}$ interference in $\bar{B}\to X_sγ$ at large photon energies Bartocci, Riccardo Böer, Philipp Hurth, Tobias High Energy Physics - Phenomenology We report on progress towards including next-to-leading order (NLO) radiative corrections to the subleading-power factorization formula for the $Q_1^{q}-Q_{7γ}$ interference contribution in $\bar{B}\to X_sγ$ at large photon energies, $m_b - 2E_γ= \mathcal{O}(Λ_{\rm QCD})$. The novel ingredients for a NLO analysis are the one-loop anomalous dimension of the subleading shape function $g_{17}(ω,ω_1;μ)$, which was recently computed by us, and the two-loop corrections to the jet function with an internal charm loop. Here we summarize the renormalization of $g_{17}(ω,ω_1;μ)$, and further discuss that our insights allow for a simplified renormalization of a specific generalization of a three-particle $B$-meson light-cone distribution amplitude, but with non-aligned light-like separations of the fields. |
| title | NLO analysis of the subleading-power $Q_1-Q_{7γ}$ interference in $\bar{B}\to X_sγ$ at large photon energies |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2510.18811 |