Reanalysis of the Das et al. sum rule and application to chiral $O(p^4)$ parameters

Details Reanalysis of the Das et al. sum rule and application to chiral $O(p^4)$ parameters Reanalysis of the Das et al. sum rule and application to chiral $O(p^4)$ parameters

1998-04-10

arxiv.org/abs/hep-ph/9804271v1

Eur.Phys.J.C6:681-691,1999

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 pages, Latex

Scientific paper

10.1007/s100529800955

A sum rule due to Das et al. is reanalyzed using a euclidian space approach and a Pad\'e resummation procedure. It is shown that the result is essentially determined by the matrix elements of dimension six and dimension eight operators which have recently been measured by the ALEPH collaboration. The result is further improved by using the vector spectral function which must be extrapolated to the chiral limit. This extrapolation is shown to be reliably performed under the constraint of a set of sum rules. The sum rule is employed not as an approximation to $M_{\pi^+}-M_{\pi^0}$ but as an exact result for a chiral low-energy parameter. A sufficiently precise evaluation provides also an estimate for a combination of subleading electromagnetic low-energy parameters.

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