arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新，休息一下吧，周末愉快~~
arXiv 1503.03450hep-phhep-lat
收藏

ALEPH强子$τ$衰变数据的低能常数和凝聚

Low-energy constants and condensates from ALEPH hadronic $τ$ decay data

Diogo Boito, Anthony Francis, Maarten Golterman, Renwick Hudspith, Randy Lewis, Kim Maltman, Santiago Peris

备注：
16 pages, revtex
发表信息：
Phys. Rev. D 92, 114501 (2015)
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

我们确定的非线性光学手征低能常数$L_{10}^r$，组合$C_{12}^r\pm C_{61}^r+C_{80}^r$，$C_{13}^r-C_{62}^r+C_{81}^r$，$C_{61}^r$，和$C_{87}^r$，结合最近修订的ALEPH结果的非奇异矢量（$V$）和轴矢量（$A$）强子$τ$衰变分布和最近更新的RBC/UKQCD晶格数据的非奇异$V-A$两点函数的非线性光学手征低能常数。在$\bar{\rm MS}$方案中，在重整化尺度$μ=770\ {MeV}$下，我们发现了$L_{10}^r=-0.00350(17)$、$C_{12}^r+C_{61}^r+C_{80}^r=0.00237(16)\ {GeV}^{-2}$、$C_{12}^r-C_{61}^r+C_{80}^r=-0.00056(15)\ {GeV}^{-2}$、$C_{13}^r-C_{62}^r+C_{81}^r=0.00046(9)\ {GeV}^{-2}$、$C_{61}^r=0.00146(15)\ {GeV}^{-2}$和$C_{87}^r=0.00510(22)\ {GeV}^{-2}$。由于这里的误差等于或低于手征展开中更高阶的贡献所预期的水平，该分析用尽了在NNLO分析中可以有意义地实现的可能性。我们还考虑了$V-A$通道中算子乘积展开中的六维和八维系数。

英文摘要：

We determine the NLO chiral low-energy constant $L_{10}^r$, and combinations $C_{12}^r\pm C_{61}^r+C_{80}^r$, $C_{13}^r-C_{62}^r+C_{81}^r$, $C_{61}^r$, and $C_{87}^r$, of the NNLO chiral low-energy constants incorporating recently revised ALEPH results for the non-strange vector ($V$) and axial-vector ($A$) hadronic $τ$ decay distributions and recently updated RBC/UKQCD lattice data for the non-strange $V-A$ two-point function. In the $\bar{\rm MS}$ scheme, at renormalization scale $μ=770\ {MeV}$, we find $L_{10}^r=-0.00350(17)$, $C_{12}^r+C_{61}^r+C_{80}^r=0.00237(16)\ {GeV}^{-2}$, $C_{12}^r-C_{61}^r+C_{80}^r=-0.00056(15)\ {GeV}^{-2}$, $C_{13}^r-C_{62}^r+C_{81}^r=0.00046(9)\ {GeV}^{-2}$, $C_{61}^r=0.00146(15)\ {GeV}^{-2}$, and $C_{87}^r=0.00510(22)\ {GeV}^{-2}$. With errors here at or below the level expected for contributions of yet higher order in the chiral expansion, the analysis exhausts the possibilities of what can be meaningfully achieved in an NNLO analysis. We also consider the dimension six and dimension eight coefficients in the operator product expansion in the $V-A$ channel.

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。

↑