TY - JOUR AU - von Detten, L. AU - Noël, F. AU - Hanhart, Christoph AU - Hoferichter, M. AU - Kubis, B. TI - On the scalar ${\pi K}$ form factor beyond the elastic region JO - The European physical journal / C VL - 81 IS - 5 SN - 1434-6052 CY - Heidelberg PB - Springer M1 - FZJ-2021-02196 SP - 420 PY - 2021 AB - Pion–kaon (πK) pairs occur frequently as final states in heavy-particle decays. A consistent treatment of πK scattering and production amplitudes over a wide energy range is therefore mandatory for multiple applications: in Standard Model tests; to describe crossed channels in the quest for exotic hadronic states; and for an improved spectroscopy of excited kaon resonances. In the elastic region, the phase shifts of πK scattering in a given partial wave are related to the phases of the respective πK form factors by Watson’s theorem. Going beyond that, we here construct a representation of the scalar πK form factor that includes inelastic effects via resonance exchange, while fulfilling all constraints from πK scattering and maintaining the correct analytic structure. As a first application, we consider the decay τ→KSπντ, in particular, we study to which extent the S-wave K∗0(1430) and the P-wave K∗(1410) resonances can be differentiated and provide an improved estimate of the CP asymmetry produced by a tensor operator. LB - PUB:(DE-HGF)16 UR - <Go to ISI:>//WOS:000650628100001 DO - DOI:10.1140/epjc/s10052-021-09169-7 UR - https://juser.fz-juelich.de/record/892607 ER -