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arXiv 0810.2464hep-lathep-phnucl-th
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扭曲质量手征微扰理论中的π-π散射

pi-pi Scattering in Twisted Mass Chiral Perturbation Theory

Michael I Buchoff, Jiunn-Wei Chen, Andre Walker-Loud

摘要:

本文利用次领先阶的扭曲质量手征微扰理论描述了扭曲质量格点量子色动力学中I=2和I=0的π-π散射。通过对晶格间距(b)的修正,我们证明了在奇异的I=2,I_3=+-2通道中,π-π散射在最大扭曲度处的标度破坏开始于O(m_pi^2b^2).在其他任何一个同位旋通道中,情况都不是这样的,对于这些通道,最大扭曲的标度破坏从O(b^2)开始。此外,我们还证明了由于扭曲质量项破缺同位旋对称性,在I=2,I_3 = 0和I=0散射通道之间存在混合。混合项,虽然正式下一个领先的顺序,是相对较大的,因此有必要使用耦合通道分析。我们认为,这种混合可能使计算的I=0通道的扭曲质量格点量子色动力学不切实际。

英文摘要:

In this report we describe both I=2 and I=0 pi-pi scattering for twisted mass lattice QCD utilizing twisted mass chiral perturbation theory at next-to-leading order. Focusing on the lattice spacing (b) corrections, we demonstrate that in the exotic I=2, I_3=+-2 channels, the leading scaling violations of pi-pi scattering at maximal twist begin at O(m_pi^2 b^2). This is not the case in any other isospin channel, for which the scaling violations at maximal twist begin at O(b^2). Furthermore, we demonstrate the existence of a mixing between the I=2, I_3 = 0 and I=0 scattering channels due to the breaking of isospin symmetry by the twisted mass term. The mixing term, although formally next-to-leading order, is relatively large, thus necessitating the use of a coupled channel analysis. We argue that this mixing likely renders the computation of the I=0 channel impractical with twisted mass lattice QCD.

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