Determination of $f_{+}^K(0)$ and Extraction of $|V_{cs}|$ from Semileptonic $D$ Decays

Abstract

By globally analyzing all existing measured branching fractions and partial rates in different four momentum transfer-squared $q^2$ bins of $D\to K{e}^{+}{\nu }_e$ decays, we obtain the product of the form factor and magnitude of CKM matrix element $V_{cs}$ to be $f_{+}^K(0)|V_{cs}|=0.717\pm 0.004$. With this product, we determine the $D\to K$ semileptonic form factor $f_{+}^K(0)=0.737\pm 0.004\pm 0.000$ in conjunction with the value of $|V_{cs}|$ determined from the SM global fit. Alternately, with the product together with the input of the form factor $f_{+}^K(0)$ calculated in lattice QCD recently, we extract $|V_{cs}{|}^{D\to K{e}^{+}{\nu }_e}=0.962\pm 0.005\pm 0.014$, where the error is still dominated by the uncertainty of the form factor calculated in lattice QCD. Combining the $|V_{cs}{|}^{D_s^{+}\to {\ell }^{+}{\nu }_{\ell }}=1.012\pm 0.015\pm 0.009$ extracted from all existing measurements of $D_s^{+}\to {\ell }^{+}{\nu }_{\ell }$ decays and $|V_{cs}{|}^{D\to K{e}^{+}{\nu }_e}=0.962\pm 0.005\pm 0.014$ together, we find the most precisely determined $|V_{cs}|$ to be $|V_{cs}|=0.983\pm 0.011$, which improves the accuracy of the PDG'2014 value $|V_{cs}{|}^{\mathrm{PD}{\mathrm{G}}^{\prime }2014}=0.986\pm 0.016$ by $45\%$.

References in corpus (4)

• Big-Bang Nucleosynthesis
• Charmed and light pseudoscalar meson decay constants from four-flavor lattice QCD with physical light quarks
• $D\to K,l\nu$ Semileptonic Decay Scalar Form Factor and $|V_{cs}|$ from Lattice QCD
• Measurement of the q2 dependence of the Hadronic Form Factor in D0 --> K- e+ nu_e decays

Cited by in corpus (7)

• Measurement of the Dynamics of the Decays $D_s^{+}\to {\eta }^{(\prime )}{e}^{+}{\nu }_e$
• D-meson semileptonic decays to pseudoscalars from four-flavor lattice QCD
• Decay $D\to K^{(\ast )}{\ell }^{+}{\nu }_{\ell }$ in covariant quark model
• Einstein-Maxwell-Dilatonic phantom black holes: Thermodynamics and geometrothermodynamics
• Determination of the absolute branching fractions of $D^0\to K^{-}{e}^{+}{\nu }_e$ and $D^{+}\to {\bar{K}}^0{e}^{+}{\nu }_e$
• Determination of $f_{+}^{\pi }(0)$ and Extraction of $|V_{cd}|$ from Semileptonic $D$ Decays
• Recent Experimental Results on Leptonic $D_{(s)}^{+}$ Decays, Semileptonic $D$ Decays and Extraction of $|V_{cd(s)}|$