Insisting on the role of experimental data: the pseudoscalar-pole piece to the (g_μ-2) and the |V_(ub)| from B to π ell ν_(ell) differential branching ratio
classification
✦ hep-ph
hep-ex
keywords
formbranchingdatadifferentialfactorpiecepseudoscalar-polesystematic
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We employ a mathematical framework based on rational approximants in order to calculate meson form factors. The method profits from unitary, is systematic and data based, and is able to ascribe a systematic uncertainty which provides for the desired model independence. Two examples are discussed: the transition form factor entering the pseudoscalar-pole piece of the hadronic light-by-light contribution to the anomalous magnetic moment of the muon, and the $B \to \pi$ form factor participating the $B\to\pi\ell\nu_{\ell}$ differential branching ratios which allows to determine the $|V_{ub}|$ CKM parameter.
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