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 1010.3768hep-lathep-ph
收藏

格点量子色动力学对$ΔI=1/2$和$3/2$,$K$到$ππ$衰变振幅的初步研究

Preliminary results of $ΔI=1/2$ and $3/2$, $K$ to $ππ$ Decay Amplitudes from Lattice QCD

Qi Liu, RBC, UKQCD collaborations

摘要:

我们报告了一个直接的晶格计算$K$ $ππ$衰变矩阵元素的$ΔI=1/2$和$3/2$通道2+1风味,畴壁费米子,$16^3\times32$晶格与零$ππ$相对动量和$m_π=420$兆电子伏。所有$K^0$到$ππ$的收缩都被仔细列出和计算。从断开的图形接收贡献的到同位旋零$ππ$最终状态的衰减非常难以计算,但是可以在类似的断开的$ππ$相关器中看到清晰的信号。初步的结果,有些具有较大的误差,将提出的各种贡献重整化弱矩阵元$A_0$和$A_2$。在壳层衰变动量为零的情况下,我们得到了带有$25%$误差的Re $(A_0)$,并发现在$420$ MeV π介子系统中,$ΔI=1/2$规则的增强因子为6.

英文摘要:

We report a direct lattice calculation of the $K$ to $ππ$ decay matrix elements for both $ΔI=1/2$ and $3/2$ channels on 2+1 flavor, domain wall fermion, $16^3\times32$ lattices with zero $ππ$ relative momentum and $m_π=420$ MeV. All $K^0$ to $ππ$ contractions are carefully listed and calculated. The decay into the isospin zero $ππ$ final state, which receives contributions from the disconnected graphs, is very difficult to calculate, but a clear signal in the similar disconnected $ππ$ correlator can be seen. Preliminary results, some with large errors, will be presented for the various contributions to the renormalized weak matrix elements $A_0$ and $A_2$. We obtain Re$(A_0)$ with $25%$ error in the case of zero momentum on shell decay, and find a factor of 6 enhancement for the $ΔI=1/2$ rule in the $420$ MeV pion system.

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。

↑