Study of form factors and branching ratios for $D\rightarrow S,Al\bar{\nu_{l}}$ with light-cone sum rules

TL;DR

This paper calculates form factors and branching ratios for specific D meson semileptonic decays using light-cone sum rules, providing results consistent with existing experiments and predictions for future tests.

Contribution

It introduces a systematic LCSR-based approach focusing on leading twist LCDAs for various mesons in D decays, including scalar and axial-vector states.

Findings

Results agree with experimental data for certain decays.

Predictions for unmeasured decays are provided for future testing.

Form factors are calculated with leading twist LCDAs only.

Abstract

We systematically study the semileptonic decay process of $ D\rightarrow S,A l\bar{\nu_{l}}(l=e,\mu)$ by light-cone sum rules (LCSR) with chiral currents, calculate the form factors containing only the contribution of the leading twist light-cone distribution amplitudes (LCDAs). For scalar mesons $a_{0}(980)$ and $a_{0}(1450)$, we take them as $q\bar{q}$ states. For axial-vector meson, we study $a_{1}(1260)( 1^{3}p^{1})$ and $b_{1}(1235)( 1^{1}p^{1})$. Based on the results of these form factors, we further present the branching ratios of these semileptonic decay processes. The numerical results for $ D\rightarrow a_{0}(980), b_{1}(1235)l\bar{\nu_{l}} $ are in good agreement with experiments and that for $ D\rightarrow a_{0}(1450)l\bar{\nu_{l}}$ process are expected to be tested experimentally in the future.