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arXiv · 0802.1289

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

M. Kolesar·J. Novotny
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Abstract

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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M. Kolesar, J. Novotny. 2011-09-05. Pi-eta scattering and the resummation of vacuum fluctuation in three-flavour ChPT. https://doi.org/10.1140/epjc%2Fs10052-008-0645-z

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