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Next-to-leading-order QCD calculations of $B \to A$ form factors with higher-twist corrections

School of Physics, Nankai University, 300071 Tianjin, China

^*Contact author: difangzhou@mail.nankai.edu.cn
^†Contact author: liuyh@mail.nankai.edu.cn

Phys. Rev. D 112, 116003 – Published 2 December, 2025

DOI: https://doi.org/10.1103/k5qy-rc5j

Abstract

Applying the light-cone sum rules approach, the next-to-leading-order 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 of the $B$ meson, among which the hard coefficients for A0-type currents and $μ$ -dependent jet functions entering correlation functions $Π_{μ, ∥}^{(T + \tilde{T})}$ , $Π_{δ μ, ⊥}^{(V - A)}$ , and $Π_{δ μ, ⊥}^{(T + \tilde{T})}$ are identical to the corresponding ones of $B \to V$ in soft-collinear effective theory (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 $z$ -series expanding parametrization to compute several physical observables including branching ratios of semileptonic $B \to A ℓ {\bar{ν}}_{ℓ}$ and $B \to A ν_{ℓ} {\bar{ν}}_{ℓ}$ processes, transverse asymmetries, forward-backward asymmetries, and lepton-flavor universality observables employing the given mixing angles $θ_{K} = - 34 °$ , $θ_{1_{P_{1}}} = 28 °$ , and $θ_{3_{P_{1}}} = 23 °$ . We also compare our theory calculations with the results from other methods.

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Phys. Rev. D 112, 116003– Published 2 December, 2025

Vol. 112, Iss. 11 — 1 December 2025

Received 25 June 2025
Accepted 29 September 2025

DOI: https://doi.org/10.1103/k5qy-rc5j

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

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Next-to-leading-order QCD calculations of $B \to A$ form factors with higher-twist corrections

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Next-to-leading-order QCD calculations of B→A form factors with higher-twist corrections

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References (90)

Next-to-leading-order QCD calculations of $B \to A$ form factors with higher-twist corrections