Measurement of the absolute branching fractions for purely leptonic decays
We report new measurements of the branching fraction B($$D^{+}_{s}$$ → ℓ+ν), where ℓ+ is either μ+ or τ+( → π+ $$\bar{ν}_{τ})$$, based on 6.32 fb–1 of electron-positron annihilation data collected by the BESIII experiment at six center-of-mass energy points between 4.178 and 4.226 GeV. Simultaneously floating the $$D^{+}_{s} → μ^{+}ν_{μ}$$ and $$D^{+}_{s}$$ → τ+ντ components yields B($$D^{+}_{s} → τ^{+}ν_{τ})$$ = (5.21 ± 0.25 ± 0.17) × 10–2, B($$D^{+}_{s}$$ → μ+νμ) = (5.35 ± 0.13 ± 0.16) × 10–3, and the ratio of decay widths R = $$\frac{Γ(D^{+}_{s} → τ^{+}ν_{τ})}{Γ(D^{+}_{s} → μ^{+}ν_{μ})}$$ = $$9.73^{+ 0.61}_{– 0.58}$$ ± 0.36, where the first uncertainties are statistical and the second systematic. No evidence of CP asymmetry is observed in the decay rates $$D^{±}_{s}$$ → μ±νμ and $$D^{±}_{s}$$ → τ±ντ: ACP(μ±ν) = (–1.2 ± 2.5 ± 1.0)% and ACP(τ±ν) = (+2.9 ± 4.8 ± 1.0)%. Constraining our measurement to the Standard Model expectation of lepton universality (R = 9.75), we find the more precise results B($$D^{+}_{s}$$ → τ+ντ) = (5.22 ± 0.10 ± 0.14) × 10–2 and ACP(τ±ντ) = (– 0.1 ± 1.9 ± 1.0)%. Combining our results with inputs external to our analysis, we determine the c → $$\bar{s}$$ quark mixing matrix element, $$D^{+}_{s}$$ decay constant, and ratio of the decay constants to be | Vcs | = 0.973 ± 0.009 ± 0.014, $$f_{D^{+}_{s}}$$ = 249.9 ± 2.4 ± 3.5 MeV, and $$f_{D^{+}_{s}}$$/$$f_{D^{+}}$$ = 1.232 ± 0.035, respectively.
- 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; SC0012069
- OSTI ID:
- 1821250
- Alternate ID(s):
- OSTI ID: 1849643
- Journal Information:
- Physical Review D, Journal Name: Physical Review D Vol. 104 Journal Issue: 5; ISSN 2470-0010
- Publisher:
- American Physical SocietyCopyright Statement
- Country of Publication:
- United States
- Language:
- English
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