论文标题
$ b \ to d_1(2420)$和$ b \ to d_1'(2430)$ from qcd light-cone sum规则
$B\to D_1(2420)$ and $B\to D_1'(2430)$ form factors from QCD light-cone sum rules
论文作者
论文摘要
我们执行半衰减衰减中的形式因素的第一个计算$ b \!\ to \! d_1(2420)\ellν_\ ell $和$ b \ to d_1^\ prime(2430)\ellν_\ ell $使用QCD Light-cone Sum Sum Rules(LCSRS),带有$ B $ -Meson分发分配振幅。在此计算中,$ c $ quark质量是有限的。获得了扭曲四粒子贡献的分析表达式。为了删除LCSRS中$ d_1 $和$ d_1^\ prime $的贡献,我们建议采用一种新颖的方法,该方法为这些迷住的介子引入了两种插值电流的组合。为了修复LCSR中的所有参数,我们使用$ d_1 $的衰减常数和$ d_1 $ and $ d_1^\ prime $梅森斯(prime $梅森)使用的两点QCD总规则,即单个实验输入,即$ b \ to d_1(2420)(2420)\ ell en \ ell en feel。我们为所有$ b \ to d_1 $和$ b \ to d_1^\ prime $ form formals提供数值结果。作为副产品,我们还获得了$ d_1 $ - 和$ d_1'$ - 梅森腐烂常数,并预测Lepton-Favour通用性比率$ R(D_1)$和$ R(D_1')$。
We perform the first calculation of form factors in the semileptonic decays $B\!\to\! D_1(2420)\ellν_\ell$ and $B \to D_1^\prime (2430)\ell ν_\ell$ using QCD light-cone sum rules (LCSRs) with $B$-meson distribution amplitudes. In this calculation the $c$-quark mass is finite. Analytical expressions for two-particle contributions up to twist four are obtained. To disentangle the $D_1$ and $D_1^\prime$ contributions in the LCSRs, we suggest a novel approach that introduces a combination of two interpolating currents for these charmed mesons. To fix all the parameters in the LCSRs, we use the two-point QCD sum rules for the decay constants of $D_1$ and $D_1^\prime$ mesons augmented by a single experimental input, that is the $B \to D_1(2420)\ellν_\ell$ decay width. We provide numerical results for all $B\to D_1$ and $B\to D_1^\prime$ form factors. As a byproduct, we also obtain the $D_1$- and $D_1'$-meson decay constants and predict the lepton-flavour universality ratios $R(D_1)$ and $R(D_1')$.