Using 2.93 fb-1 of e+e-collision data collected at a center-of-mass energy of 3.773 GeV with the BESIII detector, the first observation of the doubly Cabibbo-suppressed decay D+→K+π+π-π0 is reported. After removing decays that contain narrow intermediate resonances, including D+→K+η, D+→K+ω, and D+→K+φ, the branching fraction of the decay D+→K+π+π-π0 is measured to be (1.13±0.08stat±0.03syst)×10-3. The ratio of branching fractions of D+→K+π+π-π0 over D+→K-π+π+π0 is found to be (1.81±0.15)%, which corresponds to (6.28±0.52)tan4θC, where θC is the Cabibbo mixing angle. This ratio is significantly larger than the corresponding ratios for other doubly Cabibbo-suppressed decays. The asymmetry of the branching fractions of charge-conjugated decays D±K±0 is also determined, and no evidence for CP violation is found. In addition, the first evidence for the D+→K+ω decay, with a statistical significance of 3.3σ, is presented and the branching fraction is measured to be B(D+→K+ω)=(5.7-2.1+2.5stat±0.2syst)×10-5.
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The authors thank Professor Fu-Sheng Yu for helpful discussions. The BESIII collaboration thanks the staff of BEPCII and the IHEP computing center for their strong support. This work is supported in part by National Key Basic Research Program of China under Contract No. 2015CB856700; National Natural Science Foundation of China (NSFC) under Contracts No. 11805037, No. 11775230, No. 11625523, No. 11635010, No. 11735014, No. 11822506, No. 11835012, No. 11935015, No. 11935016, No. 11935018, No. 11961141012; the Chinese Academy of Sciences (CAS) Large-Scale Scientific Facility Program; Joint Large-Scale Scientific Facility Funds of the NSFC and CAS under Contracts No. U1832121, No. U1732263, No. U1832207; CAS Key Research Program of Frontier Sciences under Contracts No. QYZDJ-SSW-SLH003, No. QYZDJ-SSW-SLH040; 100 Talents Program of CAS; Institute of Nuclear and Particle Physics at Shanghai Jiao Tong University and Shanghai Key Laboratory for Particle Physics and Cosmology; ERC under Contract No. 758462; German Research Foundation DFG under Contracts No. Collaborative Research Center CRC 1044, No. FOR 2359, FOR 2359, No. GRK 214; Istituto Nazionale di Fisica Nucleare, Italy; Ministry of Development of Turkey under Contract No. DPT2006K-120470; National Science and Technology fund; Olle Engkvist Foundation under Contract No. 200-0605; STFC (United Kingdom); The Knut and Alice Wallenberg Foundation (Sweden) under Contract No. 2016.0157; The Royal Society, UK under Contracts No. DH140054, No. DH160214; The Swedish Research Council; U.S. Department of Energy under Contracts No. DE-FG02-05ER41374, No. DE-SC-0012069.
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