Recent Progress in Leptonic and Semileptonic Decays of Charmed Hadrons

Abstract

We present a comprehensive review of purely leptonic and semileptonic decays of $D^{0(+)}$, $D_s^{+}$, and charmed baryons (including ${\Lambda }_c^{+}$, ${\Xi }_c$ and ${\Omega }_c$). The precise studies of these decays help deepen our understanding and knowledge of quantum chromodynamics via measuring decay constants and form factors, and test the Standard Model through examining the unitarity of Cabibbo-Kobayashi-Maskawa matrix and lepton flavor universality. We give an overview of the theoretical and experimental tools before discussing the recent progress. The data sets collected by BESIII near the production thresholds of $D\bar{D}$, $D_s^{(\ast )+}{D}_s^{(\ast )-}$ and ${\Lambda }_c^{+}{\bar{\Lambda }}_c^{-}$ offer important opportunities for studies of charm physics.

24 pages, 10 figures

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• Measurement of the $D^0\to {\pi }^{-}{e}^{+}{\nu }_e$ differential decay branching fraction as a function of $q^2$ and study of form factor parameterizations
• Measurements of the branching fractions of the semileptonic decays ${\Xi }_c^0\to {\Xi }^{-}{\ell }^{+}{\nu }_{\ell }$ and the asymmetry parameter of ${\Xi }_c^0\to {\Xi }^{-}{\pi }^{+}$
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• Observation of $D^0\to K_1(1270{)}^{-}{e}^{+}{\nu }_e$
• Search for heavy Majorana neutrino in lepton number violating decays of D-> K pi e+ e+
• The weak decays of ${\Xi }_c^{{(}^{\prime })}\to \Xi$ in the light-front quark model
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• Study of light scalar mesons through $D_s^{+}\to {\pi }^0{\pi }^0{e}^{+}{\nu }_e$ and $K_S^0{K}_S^0{e}^{+}{\nu }_e$ decays
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• First Measurement of the Decay Asymmetry in the pure W-boson-exchange Decay ${\Lambda }_c^{+}\to {\Xi }^0{K}^{+}$
• Precision Measurements of $D_s^{+}\to \eta e^{+}{\nu }_e$ and $D_s^{+}\to {\eta }^{\prime }{e}^{+}{\nu }_e$
• 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
• Observation of a rare beta decay of the charmed baryon with a Graph Neural Network
• Observation of $D^{+}\to K_S^0{a}_0(980{)}^{+}$ in the amplitude analysis of $D^{+}\to K_S^0{\pi }^{+}\eta$
• Observation of ${\Lambda }_c^{+}\to \Lambda a_0(980{)}^{+}$ and Evidence for $\Sigma (1380{)}^{+}$ in ${\Lambda }_c^{+}\to \Lambda {\pi }^{+}\eta$
• Improved measurements of $D^0\to K^{-}{\ell }^{+}{\nu }_{\ell }$ and $D^{+}\to {\bar{K}}^0{\ell }^{+}{\nu }_{\ell }$
• Improved measurement of the branching fraction of $D_s^{+}\to {\mu }^{+}{\nu }_{\mu }$
• Updated measurement of the branching fraction of $D_s^{+}\to {\tau }^{+}{\nu }_{\tau }$ via ${\tau }^{+}\to {\pi }^{+}{\bar{\nu }}_{\tau }$
• Improved measurement of the semileptonic decay $D_s^{+}\to K^0{e}^{+}{\nu }_e$
• Topological $SU(3{)}_f$ approach for two-body ${\Omega }_c$ weak decays
• First observation of ${\Lambda }_c^{+}\to \Lambda K^{+}{\pi }^0$ and evidence of ${\Lambda }_c^{+}\to \Lambda K^{+}{\pi }^{+}{\pi }^{-}$
• Observation of $D^{+}\to {\eta }^{\prime }{\mu }^{+}{\nu }_{\mu }$ and First Study of $D^{+}\to {\eta }^{\prime }{\ell }^{+}{\nu }_{\ell }$ Decay Dynamics
• Measurement of the branching fraction of $D_s^{+}\to {\ell }^{+}{\nu }_{\ell }$ via $e^{+}{e}^{-}\to D_s^{\ast +}{D}_s^{\ast -}$
• Study of the axial-vector and tensor resonant contributions to the $D\to VP{\ell }^{+}{\nu }_{\ell }$ decays based on SU(3) flavor analysis
• Test of lepton universality and measurement of the form factors of $D^0\to K^{\ast }(892{)}^{-}{\mu }^{+}{\nu }_{\mu }$
• Measurement of the branching fractions of the decays ${\Lambda }_c^{+}\to \Lambda K_S^0{K}^{+}$, ${\Lambda }_c^{+}\to \Lambda K_S^0{\pi }^{+}$ and ${\Lambda }_c^{+}\to \Lambda K^{\ast +}$
• Measurements of the branching fractions of semileptonic $D_s^{+}$ decays via $e^{+}{e}^{-}\to D_s^{\ast +}{D}_s^{\ast -}$
• Observation of $D^{+}\to f_0(500){\mu }^{+}{\nu }_{\mu }$ and study of $D^{+}\to {\pi }^{+}{\pi }^{-}{\ell }^{+}{\nu }_{\ell }$ decay dynamics
• A phenomenological estimate of rescattering effects in $B_s\to K^{\ast 0}{\bar{K}}^{\ast 0}$
• Observation of the semileptonic decays $D^0\to K_S^0{\pi }^{-}{\pi }^0{e}^{+}{\nu }_e$ and $D^{+}\to K_S^0{\pi }^{+}{\pi }^{-}{e}^{+}{\nu }_e$
• First Measurement of the Decay Dynamics in the Semileptonic Transition of the $D^{+(0)}$ into the Axial-vector Meson ${\bar{K}}_1(1270)$
• Observation of the Singly Cabibbo-Suppressed Decay ${\Lambda }_c^{+}\to p{\pi }^0$
• Study of $D_s^{+}\to f_0(980){\rho }^{+}$ and $\varphi {\pi }^{+}$ decays through $D_s^{+}\to {\pi }^{+}{\pi }^{+}{\pi }^{-}{\pi }^0$
• Search for the Rare Decays $D_s^{+}\to h^{+}(h^0)e^{+}{e}^{-}$
• Observation of $D\to {\bar{K}}_1(1270){\mu }^{+}{\nu }_{\mu }$ and test of lepton flavor universality with $D\to {\bar{K}}_1(1270){\ell }^{+}{\nu }_{\ell }$
• 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
• Observation of the Singly Cabibbo-Suppressed Decay ${\Lambda }_c^{+}\to {\Sigma }^{-}{K}^{+}{\pi }^{+}$
• Five-body $D\to V$ Semileptonic Decays
• First observation of the decay ${\Lambda }_c^{+}\to n{K}_S^0{\pi }^{+}{\pi }^0$
• Search for the leptonic decays $D^{\ast +}\to e^{+}{\nu }_e$ and $D^{\ast +}\to {\mu }^{+}{\nu }_{\mu }$
• Study of the light scalar $a_0(980)$ through the decay $D^0\to a_0(980{)}^{-}{e}^{+}{\nu }_e$ with $a_0(980{)}^{-}\to \eta {\pi }^{-}$
• Precision Measurement of the Branching Fraction of $D^{+}\to {\mu }^{+}{\nu }_{\mu }$
• Evidence for the semileptonic decays ${\Lambda }_c^{+}\to {\Sigma }^{\pm }{\pi }^{\mp }{e}^{+}{\nu }_e$
• Search for CP violation in $e^{+}{e}^{-}\to \psi (3770)\to D^0{\bar{D}}^0$ via $D->K_S^0{\pi }^0$
• Testing Non-Standard Neutrinos in Purely Leptonic Lepton Decays
• Observation of the singly Cabibbo suppressed decay $D^0\to b_1(1235{)}^{-}{e}^{+}{\nu }_e$ and evidence for $D^{+}\to b_1(1235{)}^0{e}^{+}{\nu }_e$
• First Measurement of the $D_s^{+}\to K^0{\mu }^{+}{\nu }_{\mu }$ Decay
• Search for $D^0\to K^{-}\eta e^{+}{\nu }_e$, $D^{+}\to K_S^0\eta e^{+}{\nu }_e$ and $D^{+}\to \eta \eta e^{+}{\nu }_e$ decays
• Measurement of the branching fraction of $D^{+}\to {\tau }^{+}{\nu }_{\tau }$
• Novel Model-Independent Approach to Explore New Physics in Five-body Semileptonic Decays
• First observation of ${\Lambda }_c(2595{)}^{+}\to {\Lambda }_c^{+}{\pi }^0{\pi }^0$ and ${\Lambda }_c(2625{)}^{+}\to {\Lambda }_c^{+}{\pi }^0{\pi }^0$
• Study of $\varphi \to K\bar{K}$ and $K_S^0-K_L^0$ Asymmetry in the Amplitude Analysis of $D_s^{+}\to K_S^0{K}_L^0{\pi }^{+}$ Decays
• Measurement of the branching fractions of doubly Cabibbo-suppressed $D$ decays
• Study of the doubly Cabibbo-suppressed decays $D_s^{+}\to K^{+}{K}^{+}{\pi }^{-}$ and $D_s^{+}\to K^{+}{K}^{+}{\pi }^{-}{\pi }^0$
• Status of the $D_s^{+}\to \varphi {\ell }^{+}{\nu }_{\ell }$ decay with a chiral-odd $\varphi$-meson light-cone distribution amplitude
• Observation of $D^{+}\to K_S^0{\pi }^0{\mu }^{+}{\nu }_{\mu }$, Test of Lepton Flavor Universality and First Angular Analysis of $D^{+}\to {\bar{K}}^{\ast }(892{)}^0{\ell }^{+}{\nu }_{\ell }$