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Polarizabilities from kaon Compton scattering

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arxiv 2409.05955 v2 pith:A7R4ZWBV submitted 2024-09-09 hep-ph hep-exnucl-th

classification hep-phhep-exnucl-th
keywords polarizabilitiescomptonscatteringthresholdaccomplishedaffectedanalogangular
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

The polarizabilities of light pseudoscalar mesons can be extracted from differential cross sections for Compton scattering near threshold. While this has been accomplished for charged pions employing Primakoff reactions, a corresponding measurement for kaons will be affected by the presence of the $K^*(892)$ resonance not too far from threshold. We propose a method to extend the energy range serviceable for this purpose by reconstructing the $K^*(892)$ contribution model-independently from its $K\pi$ intermediate state, using dispersion theory. We point out that, in contrast to the charged-pion analog, there is likely no strong hierarchy between sum and difference of electric and magnetic dipole polarizabilities; we discuss the sensitivity to disentangling both by improved experimental angular coverage.

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  1. Extracting the chiral anomaly from $e^+e^-\to 3\pi$

    hep-ph 2025-04 conditional novelty 6.0 of 10

    A dispersive fit to e+e−→3π data yields F3π = 33.1(1.7) GeV^-3, consistent with the chiral anomaly prediction at the 5% level.

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