[Submitted on 28 Nov 2016] (cross-list from hep-ph)
The branching ratio revisited
C. Hanhart🇩🇪 · S. Holz🇩🇪 · B. Kubis🇩🇪 · A. Kupść🇸🇪 · A. Wirzba🇩🇪 · C. W. Xiao🇩🇪
We analyze the most recent data for the pion vector form factor in the timelike region, employing a model-independent approach based on dispersion theory. We confirm earlier observations about the inconsistency of different modern high-precision data sets. Excluding the BaBar data, we find an updated value for the isospin-violating branching ratio . As a side result, we also extract an improved value for the pion vector or charge radius, , where the first uncertainty is statistical as derived from the fit, while the second estimates the possible size of nonuniversal radiative corrections. In addition, we demonstrate that modern high-quality data for the decay will allow for an even improved determination of the transition strength .
- Comments:
- 11+2 pages, 7+1 figures; v3: erratum appended that rectifies erroneous treatment of the BaBar data
- Subjects:
- High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Experiment (hep-ex); Nuclear Experiment (nucl-ex); Nuclear Theory (nucl-th)
- arXiv:
- 1611.09359 [pdf]