Determinations of form factors for semileptonic $D\to K$ decays and leptoquark constraints

Abstract

By analyzing all existing measurements for $D\to K{\ell }^{+}{\nu }_{\ell }$ ( $\ell =e,\mu$ ) decays, we find that the determinations of both the vector form factor $f_{+}^K(q^2)$ and scalar form factor $f_0^K(q^2)$ for semileptonic $D\to K$ decays from these measurements are feasible. By taking the parameterization of the one order series expansion of the $f_{+}^K(q^2)$ and $f_0^K(q^2)$, $f_{+}^K(0)|V_{cs}|$ is determined to be $0.7182\pm 0.0029$, and the shape parameters of $f_{+}^K(q^2)$ and $f_0^K(q^2)$ are $r_{+1}=-2.16\pm 0.007$ and $r_{01}=0.89\pm 3.27$, respectively. Combining with the average $f_{+}^K(0)$ of $N_f=2+1$ and $N_f=2+1+1$ lattice calculaltion, the $|V_{cs}|$ is extracted to be $0.964\pm 0.004\pm 0.019$ where the first error is experimental and the second theoretical. Alternatively, the $f_{+}^K(0)$ is extracted to be $0.7377\pm 0.003\pm 0.000$ by taking the $|V_{cs}|$ as the value from the global fit with the unitarity constraint of the CKM matrix. Moreover, using the obtained form factors by $N_f=2+1+1$ lattice QCD, we re-analyze these measurements in the context of new physics. Constraints on scalar leptoquarks are obtained for different final states of semileptonic $D\to K$ decays.

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Cited by in corpus (5)

• 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
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• Semileptonic $D_{(s)}\to A{\ell }^{+}\nu$ and nonleptonic $D\to K_1(1270,1400)\pi$ decays in LCSR
• Helicity form factors for $D_{(s)}\to A\ell \nu$ process in the light-cone QCD sum rules approach
• Productions of $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ in $B_{(s)}$ and ${\Lambda }_b({\Xi }_b)$ decays