First Observation of D+ →ημ+νμ and Measurement of Its Decay Dynamics

BESIII Collaboration

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Abstract

By analyzing a data sample corresponding to an integrated luminosity of 2.93 fb-1 collected at a center-of-mass energy of 3.773 GeV with the BESIII detector, we measure for the first time the absolute branching fraction of the D+→ημ+νμ decay to be BD+→ημ+νμ=(10.4±1.0stat±0.5syst)×10-4. Using the world averaged value of BD+→ηe+νe, the ratio of the two branching fractions is determined to be BD+→ημ+νμ/BD+→ηe+νe=0.91±0.13(stat+syst), which agrees with the theoretical expectation of lepton flavor universality within uncertainty. By studying the differential decay rates in five four-momentum transfer intervals, we obtain the product of the hadronic form factor f+η(0) and the c→d Cabibbo-Kobayashi-Maskawa matrix element |Vcd| to be f+η(0)|Vcd|=0.087±0.008stat±0.002syst. Taking the input of |Vcd| from the global fit in the standard model, we determine f+η(0)=0.39±0.04stat±0.01syst. On the other hand, using the value of f+η(0) calculated in theory, we find |Vcd|=0.242±0.022stat±0.006syst±0.033theory.

Original languageEnglish (US)
Article number231801
JournalPhysical review letters
Volume124
Issue number23
DOIs
StatePublished - Jun 12 2020

Bibliographical note

Funding Information:
By analyzing a data sample corresponding to an integrated luminosity of 2.93     fb - 1 collected at a center-of-mass energy of 3.773 GeV with the BESIII detector, we measure for the first time the absolute branching fraction of the D + → η μ + ν μ decay to be B D + → η μ + ν μ = ( 10.4 ± 1. 0 stat ± 0. 5 syst ) × 10 - 4 . Using the world averaged value of B D + → η e + ν e , the ratio of the two branching fractions is determined to be B D + → η μ + ν μ / B D + → η e + ν e = 0.91 ± 0.13 ( stat + syst ) , which agrees with the theoretical expectation of lepton flavor universality within uncertainty. By studying the differential decay rates in five four-momentum transfer intervals, we obtain the product of the hadronic form factor f + η ( 0 ) and the c → d Cabibbo-Kobayashi-Maskawa matrix element | V c d | to be f + η ( 0 ) | V c d | = 0.087 ± 0.00 8 stat ± 0.00 2 syst . Taking the input of | V c d | from the global fit in the standard model, we determine f + η ( 0 ) = 0.39 ± 0.0 4 stat ± 0.0 1 syst . On the other hand, using the value of f + η ( 0 ) calculated in theory, we find | V c d | = 0.242 ± 0.02 2 stat ± 0.00 6 syst ± 0.03 3 theory . National Key Basic Research Program of China 10.13039/501100012166 2015CB856700 National Natural Science Foundation of China 10.13039/501100001809 11775230 11475123 11625523 11635010 11735014 11822506 11835012 11935015 11935016 11935018 11961141012 Chinese Academy of Sciences 10.13039/501100002367 National Natural Science Foundation of China 10.13039/501100001809 U1532101 U1932102 U1732263 U1832207 Chinese Academy of Sciences 10.13039/501100002367 QYZDJ-SSW-SLH003 QYZDJ-SSW-SLH040 Shanghai Key Laboratory for Particle Physics and Cosmology H2020 European Research Council 10.13039/100010663 758462 Deutsche Forschungsgemeinschaft 10.13039/501100001659 CRC 1044 FOR 2359 Istituto Nazionale di Fisica Nucleare 10.13039/501100004007 Ministry of Development of Turkey DPT2006K-120470 National Science and Technology fund Science and Technology Facilities Council 10.13039/501100000271 Knut och Alice Wallenbergs Stiftelse 10.13039/501100004063 2016.0157 Royal Society 10.13039/501100000288 DH140054 DH160214 Vetenskapsrådet 10.13039/501100004359 U.S. Department of Energy 10.13039/100000015 DE-FG02-05ER41374 DE-SC-0012069

Funding Information:
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. 11775230, No. 11475123, No. 11625523, No. 11635010, No. 11735014, No. 11822506, No. 11835012, No. 11935015, No. 11935016, No. 11935018, No. and 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. U1532101, No. U1932102, No. U1732263, and No. U1832207; CAS Key Research Program of Frontier Sciences under Contracts No. QYZDJ-SSW-SLH003 and No. QYZDJ-SSW-SLH040; 100 Talents Program of CAS; INPAC 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 and No. FOR 2359; Istituto Nazionale di Fisica Nucleare, Italy; Ministry of Development of Turkey under Contract No. DPT2006K-120470; National Science and Technology fund; STFC (United Kingdom); The Knut and Alice Wallenberg Foundation (Sweden) under Contract No. 2016.0157; The Royal Society, UK under Contracts No. DH140054 and No. DH160214; The Swedish Research Council; U.S. Department of Energy under Contracts No. DE-FG02-05ER41374 and No. DE-SC-0012069.

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