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arXiv 1507.03094hep-lathep-ph
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稀有K介子衰变振幅的格点计算展望:$K\toπ\ell^+\ell^-$衰变

Prospects for a lattice computation of rare kaon decay amplitudes: $K\toπ\ell^+\ell^-$ decays

N. H. Christ, X. Feng, A. Portelli, C. T. Sachrajda

摘要:

稀有的K介子衰变$K\toπ\ell^+\ell^-$和$K\toπν\barν$是变味中性流(FCNC)过程,因此是探测标准模型极限和寻找新物理学迹象的有希望的通道。在本文中,我们证明了晶格计算的$K\toπ\ell^+\ell^-$衰变振幅的长距离的贡献是非常显着的可行性。我们表明,占主导地位的有限体积修正(那些减少的权力的体积)是微不足道的小,在四味理论,没有新的紫外线发散出现的电磁流$J$和有效的弱哈密顿量$H_W$接近对方。此外,我们证明,可以删除的非物理项,指数增长的范围内的$J$和$H_W$之间的时间间隔的集成。我们现在将进行探索性的数值研究,目的是激励进一步的实验测量这些衰变。我们的工作扩展了早期的研究Isidori,Turchetti和Martinelli主要集中在紫外发散的重整化。在配套文件中,我们讨论了长距离的贡献$K\toπν\barν$衰变的评估,这些贡献预计将在几个百分点的水平为$K^+$衰变。

英文摘要:

The rare kaon decays $K\toπ\ell^+\ell^-$ and $K\toπν\barν$ are flavor changing neutral current (FCNC) processes and hence promising channels with which to probe the limits of the standard model and to look for signs of new physics. In this paper we demonstrate the feasibility of lattice calculations of $K\toπ\ell^+\ell^-$ decay amplitudes for which long-distance contributions are very significant. We show that the dominant finite-volume corrections (those decreasing as powers of the volume) are negligibly small and that, in the four-flavor theory, no new ultraviolet divergences appear as the electromagnetic current $J$ and the effective weak Hamiltonian $H_W$ approach each other. In addition, we demonstrate that one can remove the unphysical terms which grow exponentially with the range of the integration over the time separation between $J$ and $H_W$. We will now proceed to exploratory numerical studies with the aim of motivating further experimental measurements of these decays. Our work extends the earlier study by Isidori, Turchetti and Martinelli which focussed largely on the renormalization of ultraviolet divergences. In a companion paper we discuss the evaluation of the long-distance contributions to $K\toπν\barν$ decays; these contributions are expected to be at the level of a few percent for $K^+$ decays.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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