Whatπ−πscattering tells us about chiral perturbation theory
Citations Over TimeTop 10% of 1993 papers
Abstract
We describe a rearrangement of the standard expansion of the symmetry-breaking part of the QCD effective Lagrangian that includes into each order additional terms which in the standard chiral perturbation theory ($\ensuremath{\chi}\mathrm{PT}$) are relegated to higher orders. The new expansion represents a systematic and unambiguous generalization of the standard $\ensuremath{\chi}\mathrm{PT}$, and is more likely to converge rapidly. It provides a consistent framework for a measurement of the importance of additional "higher order" terms whose smallness is usually assumed but has never been checked. A method of measuring, among other quantities, the QCD parameters $\stackrel{^}{m}〈\overline{q}q〉$ and the quark mass ratio $\frac{{m}_{s}}{\stackrel{^}{m}}$ is elaborated in detail. The method is illustrated using various sets of available data. Both of these parameters might be considerably smaller than their respective leading-order standard $\ensuremath{\chi}\mathrm{PT}$ values. The importance of new, more accurate, experimental information on low-energy $\ensuremath{\pi}\ensuremath{-}\ensuremath{\pi}$ scattering is stressed.
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