The charm semileptonic decays D+→ηe+νe and D+→η′e+νe are studied with a sample of e+e- collision data corresponding to an integrated luminosity of 2.93 fb-1 collected at s=3.773 GeV with the BESIII detector. We measure the branching fractions for D+→ηe+νe to be (10.74±0.81±0.51)×10-4, and for D+→η′e+νe to be (1.91±0.51±0.13)×10-4, where the uncertainties are statistical and systematic, respectively. In addition, we perform a measurement of the form factor in the decay D+→ηe+νe. All the results are consistent with those obtained by the CLEO-c experiment.
Bibliographical noteFunding Information:
The BESIII collaboration thanks the staff of BEPCII, the IHEP computing center and the supercomputing center of USTC 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. 11605198, No. 11335008, No. 11375170, No. 11425524, No. 11475164, No. 11475169, No. 11605196, No. 11625523, No. 11635010, No. 11735014; the Chinese Academy of Sciences (CAS) Large-Scale Scientific Facility Program; the CAS Center for Excellence in Particle Physics (CCEPP); Joint Large-Scale Scientific Facility Funds of the NSFC and CAS under Contracts No. U1532102, No. U1532257, No. U1532258, No. U1732263; CAS Key Research Program of Frontier Sciences under Contracts No. QYZDJ-SSW-SLH003, No. QYZDJ-SSW-SLH040; 100 Talents Program of CAS; INPAC and Shanghai Key Laboratory for Particle Physics and Cosmology; German Research Foundation DFG under Contracts Nos. Collaborative Research Center CRC 1044, FOR 2359; Istituto Nazionale di Fisica Nucleare, Italy; Koninklijke Nederlandse Akademie van Wetenschappen (KNAW) under Contract No. 530-4CDP03; Ministry of Development of Turkey under Contract No. DPT2006K-120470; National Science and Technology fund; The Swedish Research Council; U.S. Department of Energy under Contracts No. DE-FG02-05ER41374, No. DE-SC-0010118, No. DE-SC-0010504, No. DE-SC-0012069; University of Groningen (RuG) and the Helmholtzzentrum fuer Schwerionenforschung GmbH (GSI), Darmstadt.
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