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SUBLEADING SHAPE FUNCTIONS IN B̄ → X s , d ` ` ∗

Tobias Hurth,Sascha Turczyk

semanticscholar(2018)

Cited 1|Views1
Abstract
We analyse the resolved power corrections to the inclusive decays B̄ → Xs` +`− and also B̄ → Xd``. As a distinctive feature, the resolved contributions remain non-local when the hadronic mass cut is released. Therefore, they reflect an irreducible uncertainty not dependent on the hadronic mass cut. They factorize in hard functions describing physics at the high scale mb, in so-called jet functions characterizing the physics at the hadronic final state Xs which corresponds to an invariant mass of the order of √ mbΛQCD, and in soft functions, so-called shape functions, parametrizing the hadronic physics at the scale ΛQCD. Knowing the explicit form of the latter, one can derive general properties of such shape functions which allow for precise estimates of the corresponding uncertainties.
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要点】:论文分析了B̄ → Xs +− 和 B̄ → Xd`` 不包含性衰变的解析功率修正,提出了解决方案中非局部贡献的特性,并探讨了其带来的不可约不确定性。

方法】:通过将解析贡献分解为硬函数、喷注函数和软函数(形状函数),分别描述高能标mb下的物理、强子末态Xs的物理以及尺度为ΛQCD的强子物理,从而对形状函数进行了详细分析。

实验】:未提及具体实验,但分析了在释放强子质量截止条件下的解析贡献,并探讨了这些贡献在不变质量约为√ mbΛQCD时的特性。结果得出了解析形状函数的具体形式,并推导了其一般性质,用于精确估计相应的不确定性。未提及具体数据集名称。