Measurements of the Branching Fractions for the Semileptonic Decays D(s)⁺ → φe⁺ν(e), φμ⁺ν(μ), ημ⁺ν(μ) and η′μ⁺ν(μ)

By analyzing 482 pb⁻¹ of e⁺e⁻ collision data collected at the center-of-mass energy √s = 4.009 GeV with the BESIII detector, we measure the branching fractions for the semi-leptonic decays D(s)⁺ → φe⁺ν(e), φμ⁺ν(μ), ημ⁺ν(μ) and η′μ⁺ν(μ) to be ℬ(D(s)⁺ → φe⁺ν(e)) = (2.26 ± 0.45 ± 0.09)%, ℬ(D(s)⁺ → φμ⁺ν(μ)) = (1.94 ± 0.53 ± 0.09)%, ℬ(D(s)⁺ → ημ⁺ν(μ)) = (2.42 ± 0.46 ± 011)% and ℬ(D(s)⁺ → η′μ⁺ν(μ)) = (1.06 ± 0.54 ± 0.07)%, where the first and second uncertainties are statistical and systematic, respectively. The branching fractions for the three semi-muonic decays D(s)⁺ → φμ⁺ν(μ), ημ⁺ν(μ) and η′μ⁺ν(μ) are determined for the first time and that of D(s)⁺ → φe⁺ν(e) is consistent with the world average value within uncertainties.

Form factor (Nuclear physics), Electron-positron interactions, Collisions (Nuclear physics), Leptons (Nuclear physics)--Decay, Muons--Decay, Branching fractions (Nuclear physics)
"This work is supported in part byNational KeyBasic Research Program of China under Contract No. 2015CB856700; National Natural Science Foundation of China (NSFC) under Contracts No. 11235011, No. 11335008, No. 11425524, No. 11625523, No. 11635010, No. 11675200; 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. U1332201, No. U1532257, No. U1532258; CAS under Contracts No. KJCX2-YW-N29, No. KJCX2-YW-N45, No. QYZDJSSW- SLH003; 100 Talents Program of CAS; National 1000 Talents Program of China; INPAC and Shanghai Key Laboratory for Particle Physics and Cosmology; German Research Foundation DFG under Contracts No. Collaborative Research Center CRC 1044, FOR 2359; Istituto Nazionale di Fisica Nucleare, Italy; Joint Large-Scale Scientific Facility Funds of the NSFC and CAS; Koninklijke Nederlandse Akademie van Wetenschappen (KNAW) under Contract No. 530-4CDP03; Ministry of Development of Turkey under Contract No. DPT2006K-120470; National Natural Science Foundation of China (NSFC) under Contract No. 11505010; National Science and Technology fund; The Swedish Resarch Council; U.S. Department of Energy under Contracts No. DE-FG02-05ER41374, No. DESC- 0010118, No. DE-SC-0010504, No. DE-SC-0012069; University of Groningen (RuG) and the Helmholtzzentrum fuer Schwerionenforschung GmbH (GSI), Darmstadt; WCU Program of National Research Foundation of Korea under Contract No. R32-2008-000-10155-0
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