Up-down Asymmetries and Angular Distributions in $D\to K_1(\to K\pi \pi ){\ell }^{+}{\nu }_{\ell }$

Abstract

Using the helicity amplitude technique, we derive differential decay widths and angular distributions for the decay cascade $D\to K_1(1270,1400){\ell }^{+}{\nu }_{\ell }\to (K\pi \pi ){\ell }^{+}{\nu }_{\ell }(\ell =e,\mu )$, in which the electron and muon mass is explicitly included. Using a set of phenomenological results for $D\to K_1$ form factors, we calculate partial decay widths and branching fractions for $D^0\to K_1^{-}{\ell }^{+}{\nu }_{\ell }$ and $D^{+}\to K_1^0{\ell }^{+}{\nu }_{\ell }$, but find that results for $\mathcal{B}(D\to K_1(1270)e^{+}{\nu }_e)$ are larger than recent BESIII measurements by about a factor 1.5. We further demonstrate that the measurement of up-down asymmetry in $D\to K_1{e}^{+}{\nu }_e\to (K\pi \pi )e^{+}{\nu }_e$ and angular distributions in $D\to K_1{\ell }^{+}{\nu }_{\ell }\to (K\pi \pi ){\ell }^{+}{\nu }_{\ell }$ can help to determine the hadronic amplitude requested in $B\to K_1(\to K\pi \pi )\gamma$. Based on the Monte-Carlo simulation with the LHCb geometrical acceptance, we find that the angular distributions of MC events can be well described.

13 pages, 6 figures

References in corpus (12)

• RapidSim: an application for the fast simulation of heavy-quark hadron decays
• Branching fractions of semileptonic $D$ and $D_s$ decays from the covariant light-front quark model
• Measurement of the $\bar{B}\to X_s\gamma$ Branching Fraction with a Sum of Exclusive Decays
• Time-Dependent CP Asymmetries in B0 -> Ks pi0 gamma transitions
• Observation of $D^0$ meson decays to ${\pi }^{+}{\pi }^{-}{\mu }^{+}{\mu }^{-}$ and $K^{+}{K}^{-}{\mu }^{+}{\mu }^{-}$ final states
• Strong constraints on the $b\to s\gamma$ photon polarisation from $B^0\to K^{\ast 0}{e}^{+}{e}^{-}$ decays
• Study of the K+ pi+ pi- Final State in B+ -> J/psi K+ pi+ pi- and B+ -> psi-prime K+ pi+ pi-
• Semileptonic $D_q\to K_1\ell \nu$ and nonleptonic $D\to K_1\pi$ decays in three--point QCD sum rules and factorization approach
• Tensor form factors of $P\to P,S,V$ and $A$ transitions within the standard and the covariant light-front approaches
• Search for new physics via photon polarization of $b\to s\gamma$
• Testing the standard model with $D_{(s)}\to K_1(\to K\pi \pi )\gamma$ decays
• Helicity form factors for $D_{(s)}\to A\ell \nu$ process in the light-cone QCD sum rules approach

Cited by in corpus (4)

• 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 semileptonic decays $D^0\to K_S^0{\pi }^{-}{\pi }^0{e}^{+}{\nu }_e$ and $D^{+}\to K_S^0{\pi }^{+}{\pi }^{-}{e}^{+}{\nu }_e$
• Observation of $D\to {\bar{K}}_1(1270){\mu }^{+}{\nu }_{\mu }$ and test of lepton flavor universality with $D\to {\bar{K}}_1(1270){\ell }^{+}{\nu }_{\ell }$
• A proposal to the '$\frac{1}{2}$ vs. $\frac{3}{2}$ puzzle'