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The Electromagnetic Interaction in Chiral Perturbation Theory

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arxiv hep-ph/9506448 v1 pith:5N7BBR25 submitted 1995-06-28 hep-ph

classification hep-ph
keywords electromagneticchiralone--loopperturbationresultstheoryanalysiscompletely
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We investigate electromagnetic effects in the framework of chiral perturbation theory. Using a completely independent method, we confirm Urech's results for the divergences of the one--loop functional in the electromagnetic sector. We perform a one--loop analysis of all $P_{\ell 2}$ ($P = \pi, K, \eta$) and the $K_{\ell 3}$ form factors $f_+^{K^+\pi^0}(0)$, $f_+^{K^0\pi^-}(0)$, including a systematic treatment of the $\cO(e^2p^2)$ contributions in the mesonic part. We illustrate our results by several numerical estimates.

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    A lattice QCD update computes the high-energy window of the hadronic vacuum polarization for the running of α and sin²θ_W with improved control of discretization errors.

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