Year: 2025
Type: article
Abstract: Applying the light-cone sum rules approach, the next-to-leading-order corrections to B → 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 + T ˜ ) , Π δ μ , ⊥ ( V − A ) , and Π δ μ , ⊥ ( T + T ˜ ) are identical to the corresponding ones of B → V in soft-collinear effective theory (SCET). In addition, Π μ , ∥ ( V − A ) and Π μ , ∥ ( T + T ˜ ) coincide with the results of B → π , K under the limit m q → 0 up to one-loop accuracy. Then the subleading-power corrections to B → 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 → A form factors via the Bourrely-Caprini-Lellouch z -series expanding parametrization to compute several physical observables including branching ratios of semileptonic B → A ℓ ν ¯ ℓ
DOI: 10.1103/k5qy-rc5j
Authors: Fang-Zhou Di, Yu-Hao Liu
Institution: Nankai University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Awards: G5052747023, G6055969162
OpenAlex ID: W4416983305