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Constraints on the $omegapi$ form factor from analyticity and unitarity | | B. Ananthanarayan
; I. Caprini
; B. Kubis
; | | Date: |
23 Oct 2014 | | Abstract: | Motivated by the discrepancies noted recently between the theoretical
calculations of the electromagnetic $omegapi$ form factor and certain
experimental data, we investigate this form factor using analyticity and
unitarity in a framework known as the method of unitarity bounds. We use a QCD
correlator computed on the spacelike axis by operator product expansion and
perturbative QCD as input, and exploit the unitarity of its spectral function,
including the two-pion contribution that can be reliably calculated using
high-precision data on the pion form factor, as well as narrow isoscalar vector
meson states. From this information, we derive upper and lower bounds on the
modulus of the form factor in the elastic region. The results provide a
significant check on those obtained with standard dispersion relations,
confirming the existence of a disagreement with experimental data in the region
around 0.6 GeV. | | Source: | arXiv, 1410.6276 | | Services: | Forum | Review | PDF | Favorites | |
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