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Title: Measurement of the branching fraction of leptonic decay D s + τ + ν τ via τ + π + π 0 ν ¯ τ

Journal Article · · Physical Review D
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By analyzing 6.32 fb–1 of e+e annihilation data collected at the center-of-mass energies between 4.178 and 4.226 GeV with the BESIII detector, we determine the branching fraction of the leptonic decay $$D^{+}_{s}$$ → τ+ντ, with τ+ → π+π0$$\bar{ν}$$τ, to be $$B_{D^{+}_{s}→τ^{+}ν_{τ}}$$ = (5.29 ± 0.25stat ± 0.20syst)%. We estimate the product of the Cabibbo-Kobayashi-Maskawa matrix element | Vcs | and the $$D^{+}_{s}$$ decay constant $$f_{D^{+}_{s}}$$ to be $$f_{D^{+}_{s}}$$ | Vcs | = (244.8 ± 5.8stat ± 4.8syst) MeV, using the known values of the τ+ and $$D^{+}_{s}$$ masses as well as the $$D^{+}_{s}$$ lifetime, together with our branching fraction measurement. Combining the value of | Vcs | obtained from a global fit in the standard model and $$f_{D^{+}_{s}}$$ from lattice quantum chromodynamics, we obtain $$f_{D^{+}_{s}}$$ = (251.6 ± 5.9stat ± 4.9syst) MeV and | Vcs | = 0.980 ± 0.023stat ± 0.019syst. Using the branching fraction of $$B_{D^{+}_{s} → μ^{+}ν_{μ}}$$ = (5.35 ± 0.21) × 10–3, we obtain the ratio of the branching fractions $$B_{D^{+}_{s} → τ^{+}ν_{τ}}$$/$$B_{D^{+}_{s} → μ^{+}ν_{μ}}$$ = 9.89 ± 0.71, which is consistent with the standard model prediction of lepton flavor universality.

Research Organization:
Indiana Univ., Bloomington, IN (United States); Univ. of Minnesota, Minneapolis, MN (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Contributing Organization:
BESIII Collaboration
Grant/Contract Number:
FG02-05ER41374; SC-0012069; CRC 1044; FOR 2359; GRK 214; SC0012069
OSTI ID:
1813091
Alternate ID(s):
OSTI ID: 1849638
Journal Information:
Physical Review D, Journal Name: Physical Review D Vol. 104 Journal Issue: 3; ISSN 2470-0010
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

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