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arXiv 0802.1289hep-ph
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三味ChPT中的Pi-eta散射和真空涨落的再确认

Pi-eta scattering and the resummation of vacuum fluctuation in three-flavour ChPT

M. Kolesar, J. Novotny

摘要:

我们讨论了最近发展起来的手征微扰理论的各个方面,以便一致地包括ss-对的大真空涨落的可能性和手征凝聚体的较小值的情况下,N_f=3。这种方法的微妙之处,说明了使用一个具体的例子与π-eta散射的观测。由于该过程对O(p^4)LEC的值,即对涨落参数L4和L 6的值的敏感性,它似乎是一个合适的理论实验室。我们详细讨论了几个问题,即选择“好”的观测量及其裸展开的性质,“安全”的reparametrization的物理观测量,实现精确微扰么正性和精确重整化标度的独立性,高阶的作用及其估计。我们与标准手征微扰理论进行了详细的比较,并使用广义ChPT以及共振手征理论来估计高阶手征。

英文摘要:

We discuss various aspects of resummed chiral perturbation theory, which was developed recently in order to consistently include the possibility of large vacuum fluctuations of the ss-pairs and the scenario with smaller value of the chiral condensate for N_f=3. The subtleties of this approach are illustrated using a concrete example of observables connected with pi-eta scattering. This process seems to be a suitable theoretical laboratory for this purpose due to its sensitivity to the values of the O(p^4) LEC's, namely to the values of the fluctuation parameters L4 and L6. We discuss several issues in detail, namely the choice of `good' observables and properties of their bare expansions, the `safe' reparametrization in terms of physical observables, the implementation of exact perturbative unitarity and exact renormalization scale independence, the role of higher order remainders and their estimates. We make a detailed comparison with standard chiral perturbation theory and use generalized ChPT as well as resonance chiral theory to estimate the higher order remainders.

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