论文标题

$ b_ {d,s} \至π的精确计算,k $衰减形式在软共线性有效理论中

Precision calculations of $B_{d, s} \to π, K$ decay form factors in soft-collinear effective theory

论文作者

Cui, Bo-Yan, Huang, Yong-Kang, Shen, Yue-Long, Wang, Chao, Wang, Yu-Ming

论文摘要

我们通过实现软性效应理论(ccet)框架中获得的领先的轻度轻单元总规则来改善$ b_ {d,s} \ toπ,k $形式在很大的望态后坐力下的QCD计算。此外,我们努力调查对这些重度到$ {\ cal o}(α_s^0)$的巨大形式的贡献,通过在硬性夸克繁殖式繁殖式繁殖式繁殖中加入高级句子,通过评估所需有效的norm term prime prime prime prime primem primem prom prime prime prime formm promm formm,通过考虑到两体重型夸克有效理论矩阵元素的脱落贡献,以及从过高的底部 - 米斯森底部 - 米森 - 米斯森轻度键的分布分布,以及计算扭转型四个扭曲的四个扭曲效果,scet_ {i}} $表示弱过渡电流的表示。如果我们可以使用独家$ b $ -Meson衰减形式的CET总和规则,我们进一步探索了新计算的新计算的转向式启动校正的数值含义,通过为领先和高速扭转和高级twist $ b $ - $ -Meson分布分配放大器使用三参数模型。利用半雌科$ b_ {d,s} \toπ,k $形式的惯常的伯里 - 卡普里尼 - 丝状参数化,然后我们确定有趣的系列系数的相关数值结果,通过执行排他性$ b $ b $ -seson decay for and sum secs quess quess quess quess的相关系数,并确定相关的数值结果。

We improve QCD calculations of the $B_{d, s} \to π, K$ form factors at large hadronic recoil by implementing the next-to-leading-logarithmic resummation for the obtained leading-power light-cone sum rules in the soft-collinear effective theory (SCET) framework. Additionally, we endeavour to investigate a variety of the subleading-power contributions to these heavy-to-light form factors at ${\cal O}(α_s^0)$, by including the higher-order terms in the heavy-quark expansion of the hard-collinear quark propagator, by evaluating the desired effective matrix element of the next-to-leading-order term in the ${\rm SCET_{I}}$ representation of the weak transition current, by taking into account the off-light-cone contributions of the two-body heavy-quark effective theory matrix elements as well as the three-particle higher-twist corrections from the subleading bottom-meson light-cone distribution amplitudes, and by computing the twist-five and twist-six four-body higher-twist effects with the aid of the factorization approximation. Having at our disposal the SCET sum rules for the exclusive $B$-meson decay form factors, we further explore in detail numerical implications of the newly computed subleading-power corrections by employing the three-parameter model for both the leading-twist and higher-twist $B$-meson distribution amplitudes. Taking advantage of the customary Bourrely-Caprini-Lellouch parametrization for the semileptonic $B_{d, s} \to π, K$ form factors, we then determine the correlated numerical results for the interesting series coefficients, by carrying out the simultaneous fit of the exclusive $B$-meson decay form factors to both the achieved SCET sum rule predictions and the available lattice QCD results.

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