Determination of the pseudoscalar decay constant $f_{D_s^{+}}$ via $D_s^{+}\to {\mu }^{+}{\nu }_{\mu }$

Abstract

Using a $3.19{\mathrm{fb}}^{-1}$ data sample collected at an $e^{+}{e}^{-}$ center-of-mass energy of $E_{\mathrm{cm}}=4.178$ GeV with the BESIII detector, we measure the branching fraction of the leptonic decay $D_s^{+}\to {\mu }^{+}{\nu }_{\mu }$ to be ${\mathcal{B}}_{D_s^{+}\to {\mu }^{+}{\nu }_{\mu }}=(5.49\pm 0.16_{stat.}\pm 0.15_{syst.})\times 10^{-3}$. Combining our branching fraction with the masses of the $D_s^{+}$ and ${\mu }^{+}$ and the lifetime of the $D_s^{+}$, we determine $f_{D_s^{+}}|V_{cs}|=246.2\pm 3.6_{stat.}\pm 3.5_{syst.}\mathrm{MeV}$. Using the $c\to s$ quark mixing matrix element $|V_{cs}|$ determined from a global standard model fit, we evaluate the $D_s^{+}$ decay constant $f_{D_s^{+}}=252.9\pm 3.7_{stat.}\pm 3.6_{syst.}$\,MeV. Alternatively, using the value of $f_{D_s^{+}}$ calculated by lattice quantum chromodynamics, we find $|V_{cs}|=0.985\pm 0.014_{stat.}\pm 0.014_{syst.}$. These values of ${\mathcal{B}}_{D_s^{+}\to {\mu }^{+}{\nu }_{\mu }}$, $f_{D_s^{+}}|V_{cs}|$, $f_{D_s^{+}}$ and $|V_{cs}|$ are each the most precise results to date.

References in corpus (15)

• Test of lepton universality using $B^{+}\to K^{+}{\ell }^{+}{\ell }^{-}$ decays
• High Precision determination of the pi, K, D and D_s decay constants from lattice QCD
• $B$- and $D$-meson leptonic decay constants from four-flavor lattice QCD
• Update: Precision D_s decay constant from full lattice QCD using very fine lattices
• Charmed and light pseudoscalar meson decay constants from four-flavor lattice QCD with physical light quarks
• Decay constants and radiative decays of heavy mesons in light-front quark model
• Leptonic decay constants fK, fD and fDs with Nf = 2+1+1 twisted-mass lattice QCD
• Relativistic treatment of the decay constants of light and heavy mesons
• Decay constants of the heavy-light mesons from the field correlator method
• Discerning new physics in charm meson leptonic and semileptonic decays
• Study of the $D^0\to K^{-}{\mu }^{+}{\nu }_{\mu }$ dynamics and test of lepton flavor universality with $D^0\to K^{-}{\ell }^{+}{\nu }_{\ell }$ decays
• Measurement of the Absolute Branching Fractions for $D_s^{-}\to {\ell }^{-}{\bar{\nu }}_{\ell }$ and Extraction of the Decay Constant $f_{D_s}$
• Decay Constants of Pseudoscalar $D$-mesons in Lattice QCD with Domain-Wall Fermion
• Measurement of the $D_s^{+}\to {\ell }^{+}{\nu }_{\ell }$ branching fractions and the decay constant $f_{D_s^{+}}$
• Decay constants of charm and beauty pseudoscalar heavy-light mesons on fine lattices

Cited by in corpus (27)

• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of 2018
• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of 2021
• STCF Conceptual Design Report: Volume 1 -- Physics & Detector
• Observation of a near-threshold structure in the $K^{+}$ recoil-mass spectra in $e^{+}{e}^{-}\to K^{+}(D_s^{-}{D}^{\ast 0}+D_s^{\ast -}{D}^0)$
• Constraints on Sterile Neutrinos in the MeV to GeV Mass Range
• Study of the Standard Model with weak decays of charmed hadrons at BESIII
• Recent Progress in Leptonic and Semileptonic Decays of Charmed Hadrons
• Improved Constraints on Sterile Neutrinos in the MeV to GeV Mass Range
• The BESIII Physics Programme
• Measurement of the Dynamics of the Decays $D_s^{+}\to {\eta }^{(\prime )}{e}^{+}{\nu }_e$
• A Pattern for the Flavor Dependence of the Quark-Gluon Interaction
• Measurement of the absolute branching fractions for purely leptonic $D_s^{+}$ decays
• Measurement of the Absolute Branching Fraction of $D_s^{+}\to {\tau }^{+}{\nu }_{\tau }$ via ${\tau }^{+}\to e^{+}{\nu }_e{\bar{\nu }}_{\tau }$
• ALP production in weak mesonic decays
• Precision Measurements of $D_s^{+}\to \eta e^{+}{\nu }_e$ and $D_s^{+}\to {\eta }^{\prime }{e}^{+}{\nu }_e$
• Role of the newly measured $B\to KD\bar{D}$ process to establish ${\chi }_{c0}(2P)$ state
• Observation of $D_s^{+}\to {\eta }^{\prime }{\mu }^{+}{\nu }_{\mu }$, Precision Test of Lepton Flavor Universality with $D_s^{+}\to {\eta }^{(\prime )}{\ell }^{+}{\nu }_{\ell }$, and First Measurements of $D_s^{+}\to {\eta }^{(\prime )}{\mu }^{+}{\nu }_{\mu }$ Decay Dynamics
• Measurement of the branching fraction of leptonic decay $D_s^{+}\to {\tau }^{+}{\nu }_{\tau }$ via ${\tau }^{+}\to {\pi }^{+}{\pi }^0{\bar{\nu }}_{\tau }$
• Exploring the flavor content of light and heavy-light pseudoscalars
• Amplitude analysis and branching fraction measurement of $D_s^{+}\to K^{-}{K}^{+}{\pi }^{+}{\pi }^0$
• Amplitude analysis and branching-fraction measurement of $D_s^{+}\to K_S^0{K}^{-}{\pi }^{+}{\pi }^{+}$
• Updated measurement of the branching fraction of $D_s^{+}\to {\tau }^{+}{\nu }_{\tau }$ via ${\tau }^{+}\to {\pi }^{+}{\bar{\nu }}_{\tau }$
• Improved measurement of the branching fraction of $D_s^{+}\to {\mu }^{+}{\nu }_{\mu }$
• Semileptonic Decay of $D_s^{+}\to {\pi }^0{\ell }^{+}{\nu }_{\ell }$ Via Neutral Meson Mixing
• Measurement of the branching fraction of $D_s^{+}\to {\ell }^{+}{\nu }_{\ell }$ via $e^{+}{e}^{-}\to D_s^{\ast +}{D}_s^{\ast -}$
• Precision Measurement of the Branching Fraction of $D^{+}\to {\mu }^{+}{\nu }_{\mu }$
• Study of the doubly Cabibbo-suppressed decays $D_s^{+}\to K^{+}{K}^{+}{\pi }^{-}$ and $D_s^{+}\to K^{+}{K}^{+}{\pi }^{-}{\pi }^0$