Determination of the Pseudoscalar Decay Constant f D s + via D s + → μ + ν μ

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doi:10.1103/PhysRevLett.122.071802

Title: Determination of the Pseudoscalar Decay Constant $f_{D_{s}^{+}}$ via $D_{s}^{+} \to μ^{+} ν_{μ}$

Journal Article · Fri Feb 22 00:00:00 EST 2019 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.122.071802· OSTI ID:1495854

Ablikim, M.; Achasov, M. N.; Ahmed, S.; Albrecht, M.; Alekseev, M.; Amoroso, A.; An, F. F.; An, Q.; Bai, Y.; Bakina, O.; Ferroli, R. Baldini; Ban, Y.; Begzsuren, K.; Bennett, D. W.; Bennett, J. V.; Berger, N.; Bertani, M.; Bettoni, D.; Bianchi, F.; Boyko, I. more »

Using a $$3.19\text{ }\text{ }{\mathrm{fb}}^{{-}1}$$ data sample collected at an $${e}^{+}{e}^{{-}}$$ center-of-mass energy of $${E}_{\mathrm{cm}}=4.178\text{ }\text{ }\mathrm{GeV}$$ with the BESIII detector, we measure the branching fraction of the leptonic decay $${D}_{s}^{+}{\rightarrow}{{\mu}}^{+}{{\nu}}_{{\mu}}$$ to be $${\mathcal{B}}_{{D}_{s}^{+}{\rightarrow}{{\mu}}^{+}{{\nu}}_{{\mu}}}=(5.49\pm{}0.1{6}_{\text{stat}}\pm{}0.1{5}_{\text{syst}})\times{}{10}^{{-}3}$$. Combining our branching fraction with the masses of the $${D}_{s}^{+}$$ and $${{\mu}}^{+}$$ and the lifetime of the $${D}_{s}^{+}$$, we determine $${f}_{{D}_{s}^{+}}|{V}_{cs}|=246.2\pm{}3.{6}_{\text{stat}}\pm{}3.{5}_{\text{syst}}\text{ }\text{ }\mathrm{MeV}$$. Using the $$c{\rightarrow}s$$ quark mixing matrix element $$|{V}_{cs}|$$ determined from a global standard model fit, we evaluate the $${D}_{s}^{+}$$ decay constant $${f}_{{D}_{s}^{+}}=252.9\pm{}3.{7}_{\text{stat}}\pm{}3.{6}_{\text{syst}}\text{ }\text{ }\mathrm{MeV}$$. Alternatively, using the value of $${f}_{{D}_{s}^{+}}$$ calculated by lattice quantum chromodynamics, we find $$|{V}_{cs}|=0.985\pm{}0.01{4}_{\text{stat}}\pm{}0.01{4}_{\text{syst}}$$. These values of $${\mathcal{B}}_{{D}_{s}^{+}{\rightarrow}{{\mu}}^{+}{{\nu}}_{{\mu}}}$$, $${f}_{{D}_{s}^{+}}|{V}_{cs}|$$, $${f}_{{D}_{s}^{+}}$$ and $$|{V}_{cs}|$$ are each the most precise results to date.

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Research Organization:: Indiana Univ., Bloomington, IN (United States); Carnegie Mellon Univ., Pittsburgh, PA (United States); Univ. of Hawaii, Honolulu, HI (United States); Univ. of Minnesota, Minneapolis, MN (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Office of Science (SC), High Energy Physics (HEP)

Contributing Organization:: BESIII Collaboration

Grant/Contract Number:: FG02-05ER41374; SC0010118; SC0010504; SC0012069

OSTI ID:: 1495854

Alternate ID(s):: OSTI ID: 1504148

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Vol. 122 Journal Issue: 7; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 33 works

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Title: Determination of the Pseudoscalar Decay Constant f D s + via D s + → μ + ν μ

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Title: Determination of the Pseudoscalar Decay Constant $f_{D_{s}^{+}}$ via $D_{s}^{+} \to μ^{+} ν_{μ}$