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| Format: | Preprint |
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2025
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| Online Access: | https://arxiv.org/abs/2504.13649 |
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| _version_ | 1866909940755464192 |
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| author | Di, Fang-Zhou Liu, Yu-Hao |
| author_facet | Di, Fang-Zhou Liu, Yu-Hao |
| contents | Applying the light-cone sum rules (LCSR) approach, the next-to-leading-order (NLO) corrections to $B \to A$ form factors are calculated with the twist-two and twist-three $B$ meson light-cone distribution amplitudes (LCDAs) at leading power in $Λ/ m_b$. At one-loop level, the vacuum-to-$B$-meson correlation functions defined with interpolating currents for the $p$-wave axial-vector meson are factorized into short-distance coefficients and the distribution amplitudes (DAs) of the $B$ meson, among which the hard coefficients for A0-type currents and $μ$ dependent jet functions entering correlation functions $Π_{μ,\|}^{(T+\tilde{T})}$, $Π_{δμ,\perp}^{(V-A)}$ and $Π_{δμ,\perp}^{(T+\tilde{T})}$ are identical to the corresponding ones of $B \to V$ in SCET. In addition, $Π_{μ,\|}^{(V-A)}$ and $Π_{μ,\|}^{(T+\tilde{T})}$ coincide with the results of $B\to π,K$ under the limit $m_q \to 0$ up to one-loop accuracy. Then the subleading power corrections to $B \to A$ form factors are computed with the higher-twist $B$ meson LCDAs at tree level up to the twist-six accuracy. Furthermore, we predict the $q^2$ dependence of $B \to A$ form factors via the Bourrely-Caprini-Lellouch (BCL) $z$-series expanding parameterization to compute several physical observables including branching ratios of semileptonic $B\to A \ell \barν_{\ell} $ and $B\to A ν_{\ell} \barν_{\ell} $ processes, transverse asymmetries, forward-backward asymmetries and lepton flavor universality observables employing the given mixing angles $θ_K=-34^\circ$, $θ_{1_{P_1}}=28^\circ$, $θ_{3_{P_1}}=23^\circ$. We also compare our theory calculations with the results from other methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_13649 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Next-to-leading-order QCD calculations of $B \to A$ form factors with higher-twist corrections Di, Fang-Zhou Liu, Yu-Hao High Energy Physics - Phenomenology Applying the light-cone sum rules (LCSR) approach, the next-to-leading-order (NLO) corrections to $B \to A$ form factors are calculated with the twist-two and twist-three $B$ meson light-cone distribution amplitudes (LCDAs) at leading power in $Λ/ m_b$. At one-loop level, the vacuum-to-$B$-meson correlation functions defined with interpolating currents for the $p$-wave axial-vector meson are factorized into short-distance coefficients and the distribution amplitudes (DAs) of the $B$ meson, among which the hard coefficients for A0-type currents and $μ$ dependent jet functions entering correlation functions $Π_{μ,\|}^{(T+\tilde{T})}$, $Π_{δμ,\perp}^{(V-A)}$ and $Π_{δμ,\perp}^{(T+\tilde{T})}$ are identical to the corresponding ones of $B \to V$ in SCET. In addition, $Π_{μ,\|}^{(V-A)}$ and $Π_{μ,\|}^{(T+\tilde{T})}$ coincide with the results of $B\to π,K$ under the limit $m_q \to 0$ up to one-loop accuracy. Then the subleading power corrections to $B \to A$ form factors are computed with the higher-twist $B$ meson LCDAs at tree level up to the twist-six accuracy. Furthermore, we predict the $q^2$ dependence of $B \to A$ form factors via the Bourrely-Caprini-Lellouch (BCL) $z$-series expanding parameterization to compute several physical observables including branching ratios of semileptonic $B\to A \ell \barν_{\ell} $ and $B\to A ν_{\ell} \barν_{\ell} $ processes, transverse asymmetries, forward-backward asymmetries and lepton flavor universality observables employing the given mixing angles $θ_K=-34^\circ$, $θ_{1_{P_1}}=28^\circ$, $θ_{3_{P_1}}=23^\circ$. We also compare our theory calculations with the results from other methods. |
| title | Next-to-leading-order QCD calculations of $B \to A$ form factors with higher-twist corrections |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2504.13649 |