Radiative B to axial-vector meson decays at NLO in soft-collinear effective theory

The rare decay $B\rightarrow A\gamma$, with $A$ representing axial-vector mesons such as $K_1 (1270),\; K_1 (1400),\; b_1(1300),\; a_1(1260)$, is studied at next-to-leading order (NLO) in soft collinear effective theory (SCET). large outgoing meson energy encourages the study of an appropriate factorization scheme that separates factorizable and non-factorizable parts systematically. We have analyzed leading-power $\mathcal{O}(\alpha_s)$ diagrams contribute to matching SCET$_I$. new intermediate matched onto SCET$_{II}$ running SCET$_I$ operators performed sum perturbative logarithms. values soft-overlap function $\zeta_{\perp}$ for (1270,\;1400), a_{1}$ $b_{1}$ are estimated from light cone-sum-rules (LCSR), later using it corresponding branching fractions $B \to \left(K_{1}(1270,\; 1400),\; a_{1},\; b_{1}\right)\gamma$ decays calculated. find case K_{1}(1270,\; 1400)\gamma$ results good agreement their experimental measurements. Also ratios (b_{1},\; a_1)\gamma$ potentially be measured LHCb future B-factories.