论文标题

charmonium对$ b \ rightarrow k \ ell^+\ ell^ - :测试晶格上的分解近似值

Charmonium contribution to $B \rightarrow K\ell^+\ell^-: testing the factorization approximation on the lattice

论文作者

Nakayama, Katsumasa, Ishikawa, Tsutomu, Hashimoto, Shoji

论文摘要

我们报告了一项charmonium对$ b \ rightarrow k \ ell^+\ ell^ - $ $ $ $ $ $ $ $的当前状态。我们的晶格计算测试了此贡献的分解近似值。为了控制人工差异的问题,我们专注于低$ q^2 $区域,其b-quark质量很小。我们还考虑了通过时间矩计算出的相关四夸克运算符的重新规定常数。结果表明违反了分解近似。

We report the current status of a study of charmonium contribution to $B \rightarrow K\ell^+\ell^-$ on the lattice. Our lattice calculation tests the factorization approximation for this contribution. In order to control the problem of the artificial divergence, we focus on the low $q^2$ region with a small b-quark mass. We also take into account the renormalization constants of relevant four-quark operators calculated through the temporal moments. Results suggest a violation of the factorization approximation.

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