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Cross sections for the reactions e+e− → K+K−π+π−, K+K−π0π0, and K+K−K+K− measured using initial-state radiation events

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We study the processes e + e − → K + K − π + π − γ , K + K − π 0 π 0 γ , and K + K − K + K − γ , where the photon is radiated from the initial state. About 84 000, 8000, and 4200 fully reconstructed events, respectively, are selected from 454     fb − 1 of BABAR data. The invariant mass of the hadronic final state defines the e + e − center-of-mass energy, so that the K + K − π + π − γ data can be compared with direct measurements of the e + e − → K + K − π + π − reaction. No direct measurements exist for the e + e − → K + K − π 0 π 0 or e + e − → K + K − K + K − reactions, and we present an update of our previous result based on a data sample that is twice as large. Studying the structure of these events, we find contributions from a number of intermediate states and extract their cross sections. In particular, we perform a more detailed study of the e + e − → ϕ ( 1020 ) π π γ reaction and confirm the presence of the Y ( 2175 ) resonance in the ϕ ( 1020 ) f 0 ( 980 ) and K + K − f 0 ( 980 ) modes. In the charmonium region, we observe the J / ψ in all three final states and in several intermediate states, as well as the ψ ( 2 S ) in some modes, and measure the corresponding products of branching fraction and electron width.

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GRAUGÉS POUS, Eugeni, GARRA TICÓ, Jordi and BABAR Collaboration. Cross sections for the reactions e+e− → K+K−π+π−, K+K−π0π0, and K+K−K+K− measured using initial-state radiation events. Physical Review D. 2012. Vol. 86, num. 1, pags. 012008. ISSN 1550-7998. [consulted: 3 of July of 2026]. Available at: https://hdl.handle.net/2445/130404

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