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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.11258 |
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| _version_ | 1866914718048845824 |
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| author | Huang, Yong-Kang Shen, Yue-Long Wang, Chao Wang, Yu-Ming |
| author_facet | Huang, Yong-Kang Shen, Yue-Long Wang, Chao Wang, Yu-Ming |
| contents | We accomplish for the first time the next-to-leading-order computation of the weak annihilation contribution to the exclusive electroweak penguin decays $B \to \left \{K, π\right \} \ell^{+} \ell^{-}$ with an energetic light-flavour meson, which is an essential missing piece of the complete QCD correction to the matrix elements of hadronic operators in the weak effective Hamiltonian. Both the hard functions and the jet functions in the perturbative factorization formulae from the short-distance fluctuations at the two distinct scales $m_b$ and $\sqrt{m_b \, Λ}$ are determined at ${\cal O}(α_s)$ with the soft-collinear factorization technique. We then demonstrate that the one-loop weak annihilation correction can bring about the noticeable impacts on theory predictions for the CP asymmetries and the isospin asymmetry in the $B \to π\ell^{+} \ell^{-}$ decays. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_11258 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Next-to-Leading-Order Weak Annihilation Correction to Rare $B \to \left \{K, π\right \} \ell^{+} \ell^{-}$ Decays Huang, Yong-Kang Shen, Yue-Long Wang, Chao Wang, Yu-Ming High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice We accomplish for the first time the next-to-leading-order computation of the weak annihilation contribution to the exclusive electroweak penguin decays $B \to \left \{K, π\right \} \ell^{+} \ell^{-}$ with an energetic light-flavour meson, which is an essential missing piece of the complete QCD correction to the matrix elements of hadronic operators in the weak effective Hamiltonian. Both the hard functions and the jet functions in the perturbative factorization formulae from the short-distance fluctuations at the two distinct scales $m_b$ and $\sqrt{m_b \, Λ}$ are determined at ${\cal O}(α_s)$ with the soft-collinear factorization technique. We then demonstrate that the one-loop weak annihilation correction can bring about the noticeable impacts on theory predictions for the CP asymmetries and the isospin asymmetry in the $B \to π\ell^{+} \ell^{-}$ decays. |
| title | Next-to-Leading-Order Weak Annihilation Correction to Rare $B \to \left \{K, π\right \} \ell^{+} \ell^{-}$ Decays |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2403.11258 |