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Radiative corrections to the forward-backward asymmetry in e^+e^-toπ^+π^-

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arxiv 2207.03495 v5 pith:ZZKBTMNS submitted 2022-07-07 hep-ph hep-exnucl-th

Radiative corrections to the forward-backward asymmetry in e^+e^-toπ^+π^-

classification hep-ph hep-exnucl-th
keywords correctionsinfraredradiativeasymmetrybeyondcalculationcancellationcase
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present a calculation of the $C$-odd radiative corrections to $e^+e^-\to \pi^+\pi^-$ in a dispersive formalism, concentrating on the leading pion-pole contribution in the virtual box diagrams. In particular, we show how the effect of a general pion vector form factor in the loop integral can be incorporated in a model-independent way and how the cancellation of infrared singularities proceeds in this case. The numerical results, dominated by the infrared enhanced contributions, indicate significant corrections beyond scalar QED, essentially confirming recent findings in generalized vector-meson-dominance models.

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Cited by 4 Pith papers

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