Precise measurement of the form factors in $D^0\to K^{\ast }(892{)}^{-}{\mu }^{+}{\nu }_{\mu }$ and test of lepton universality with $D^0\to K^{\ast }(892{)}^{-}{\ell }^{+}{\nu }_{\ell }$ decays

Abstract

We report a study of the semileptonic decay $D^0\to {\bar{K}}^0{\pi }^{-}{\mu }^{+}{\nu }_{\mu }$ based on a sample of $7.9{\mathrm{fb}}^{-1}$ of $e^{+}{e}^{-}$ annihilation data collected at a center-of-mass energy of 3.773~GeV with the BESIII detector at the BEPCII collider. The branching fraction of the decay is measured for the first time to be $\mathcal{B}(D^0\to {\bar{K}}^0{\pi }^{-}{\mu }^{+}{\nu }_{\mu })=(1.373\pm 0.020_{\mathrm{stat}}\pm 0.023_{\mathrm{syst}})\%$, where the first uncertainty is statistical and the second is systematic. Based on the investigation of the decay dynamics, we find that the decay is dominated by the $K^{\ast }(892{)}^{-}$ resonance with the branching fraction measured to be $\mathcal{B}(D^0\to K^{\ast }(892{)}^{-}{\mu }^{+}{\nu }_{\mu })=(1.948\pm 0.033_{\mathrm{stat}}\pm 0.036_{\mathrm{syst}})\%$. We also determine the hadronic form factors for the $D^0\to K^{\ast }(892{)}^{-}{\mu }^{+}{\nu }_{\mu }$ decay to be $r_V=V(0)/A_1(0)=1.46\pm 0.11_{\mathrm{stat}}\pm 0.04_{\mathrm{syst}}$, $r_2=A_2(0)/A_1(0)=0.71\pm 0.08_{\mathrm{stat}}\pm 0.03_{\mathrm{syst}}$, and $A_1(0)=0.609\pm 0.008_{\mathrm{stat}}\pm 0.008_{\mathrm{syst}}$, where $V(0)$ is the vector form factor and $A_{1,2}(0)$ are the axial form factors evaluated at $q^2=0$. The $A_1(0)$ is measured for the first time in $D^0\to K^{\ast }(892{)}^{-}{\mu }^{+}{\nu }_{\mu }$ decay. Averaging the form-factor parameters that we reported previously in $D^0\to K^{\ast }(892{)}^{-}(\to {\bar{K}}^0{\pi }^{-})e^{+}{\nu }_e$ and $D^0\to K^{\ast }(892{)}^{-}(\to K^{-}{\pi }^0){\mu }^{+}{\nu }_{\mu }$ decays, we obtain $r_V=1.456\pm 0.040_{\mathrm{stat}}\pm 0.016_{\mathrm{syst}}$, $r_2=0.715\pm 0.031_{\mathrm{stat}}\pm 0.014_{\mathrm{stat}}$, and $A_1(0)=0.614\pm 0.005_{\mathrm{stat}}\pm 0.004_{\mathrm{syst}}$. This is the most precise determination of the form-factor parameters to date measured in $D\to K^{\ast }(892)$ transition, which provide the most stringent test on various theoretical models.

arXiv comment9 pages, 4 figures

References in corpus (33)

• Design and Construction of the BESIII Detector
• The Precision Monte Carlo Event Generator KK For Two-Fermion Final States In e+e- Collisions
• Coherent Exclusive Exponentiation For Precision Monte Carlo Calculations
• Weak form factors for heavy meson decays: an update
• Flavor Physics in the Quark Sector
• Leptonic and Semileptonic Decays of Charm and Bottom Hadrons
• Decay constants and form factors of s-wave and p-wave mesons in the covariant light-front quark model
• $B_{(s)},D_{(s)}\to \pi ,K,\eta ,\rho ,K^{\ast },\omega ,\varphi$ Transition Form Factors and Decay Rates with Extraction of the CKM parameters $|V_{ub}|$, $|V_{cs}|$, $|V_{cd}|$
• Branching fractions of semileptonic $D$ and $D_s$ decays from the covariant light-front quark model
• Study of the Standard Model with weak decays of charmed hadrons at BESIII
• Recent Progress in Leptonic and Semileptonic Decays of Charmed Hadrons
• Semileptonic decays of $D$ and $D_s$ mesons in the relativistic quark model
• Charm meson resonances and D to V semileptonic form factors
• Investigating the nature of light scalar mesons with semileptonic decays of D mesons
• Discerning new physics in charm meson leptonic and semileptonic decays
• Heavy to Light Meson Exclusive Semileptonic Decays in Effective Field Theory of Heavy Quark
• Analysis of the D+ --> K- pi+ e+ nu_e decay channel
• First measurement of the form factors in $D_s^{+}\to K^0{e}^{+}{\nu }_e$ and $D_s^{+}\to K^{\ast 0}{e}^{+}{\nu }_e$ decays
• Study of the decay Ds+ --> K+ K- e+ nu
• Study of $D^{+}\to K^{-}{\pi }^{+}{e}^{+}{\nu }_e$
• First Measurement of the Form Factors in the Decays D0 to rho- e+ nu_e and D+ to rho0 e+ nu_e
• Heavy to light vector meson semileptonic decays
• Investigation of Effects of New Physics in $c\to (s,d){\ell }^{+}{\nu }_{\ell }$ Transitions
• Analysis of D+ to K- pi+ e+ nu_e and D+ to K- pi+ mu+ nu_mu Semileptonic Decays
• Decay $D\to K^{(\ast )}{\ell }^{+}{\nu }_{\ell }$ in covariant quark model
• Study of the decay $D^0\to {\bar{K}}^0{\pi }^{-}{e}^{+}{\nu }_e$
• Model Independent Measurement of Form Factors in the Decay D^+ --> K^- pi^+ e^+ nu_e
• Analysis of the semileptonic decay $D^0\to {\bar{K}}^0{\pi }^{-}{\mu }^{+}\nu$
• Form factors for semileptonic D decays
• Branching fractions and polarizations of $D\to V(\omega ,\rho ,K^{\ast })\ell {\nu }_{\ell }$ within QCD LCSR
• Muon mass correction in partial wave analyses of charmed meson semi-leptonic decays
• Study of the semileptonic decay $D^0\to {\bar{K}}^0{\pi }^{-}{e}^{+}{\nu }_e$
• Test of lepton universality and measurement of the form factors of $D^0\to K^{\ast }(892{)}^{-}{\mu }^{+}{\nu }_{\mu }$

Cited by in corpus (1)

• First Measurement of the $D_s^{+}\to K^0{\mu }^{+}{\nu }_{\mu }$ Decay