$D\to a_1,f_1$ transition form factors and semileptonic decays via 3-point QCD sum rules

Abstract

By using the 3-point QCD sum rules, we calculate the transition form factors of $D$ decays into the spin triplet axial vector mesons $a_1(1260)$, $f_1(1285)$, $f_1(1420)$. In the calculations, we consider the quark contents of each meson in detail. In view of the fact that the isospin of $a_1(1260)$ is one, we calculate the $D^{+}\to a_1^0(1260)$ and $D^0\to a_1^{-}(1260)$ transition form factors separately. In the case of $f_1(1285),f_1(1420)$, the mixing between light flavor $SU(3)$ singlet and octet is taken into account. Based on the form factors obtained here, we give predictions for the branching ratios of relevant semileptonic decays, which can be tested in the future experiments.

arXiv comment14 pages, 13 figures

References in corpus (9)

• Light-Cone Distribution Amplitudes of Axial-vector Mesons
• Revisiting Axial-Vector Meson Mixing
• $B\to K_1\gamma$ Decays in the Light-Cone QCD Sum Rules
• Form Factors of $B_{u,d,s}$ Decays into P-Wave Axial-Vector Mesons in the Light-Cone Sum Rule Approach
• B to Light Tensor Meson Form Factors Derived from Light-Cone Sum Rules
• Observation and Polarization Measurements of B+- ->phi K_1+- and B+- ->phi K_2*+-
• Measurements of CP-Violating Asymmetries in B0 to a1(1260)^{+-} pi^{-+} Decays
• 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
• Evidence for charged B meson decays to a1(1260)+/- pi0 and a1(1260)0 pi+/-

Cited by in corpus (7)

• Semileptonic $D_{(s)}\to A{\ell }^{+}\nu$ and nonleptonic $D\to K_1(1270,1400)\pi$ decays in LCSR
• Search for the semileptonic decay $D^{0(+)}\to b_1(1235{)}^{-(0)}{e}^{+}{\nu }_e$
• $a_1(1260)$-meson longitudinal twist-2 distribution amplitude and the $D\to a_1(1260){\ell }^{+}{\nu }_{\ell }$ decay processes
• Helicity form factors for $D_{(s)}\to A\ell \nu$ process in the light-cone QCD sum rules approach
• Study of the axial-vector and tensor resonant contributions to the $D\to VP{\ell }^{+}{\nu }_{\ell }$ decays based on SU(3) flavor analysis
• Semileptonic and nonleptonic decays of $D$ into tensor mesons with light-cone sum rule
• Exclusive semileptonic decays of $D$ and $D_s$ mesons into orbitally and radially excited states of strange and light mesons