Probing the equivalence of chiral LCSRs in $D \to πe ν_e$ decays and extraction of $|V_{cd}|$
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912969534734336 |
|---|---|
| author | Wang, Xiu-Fen Tian, Hai-Jiang Yang, Yin-Long Zeng, Long Fu, Hai-Bing |
| author_facet | Wang, Xiu-Fen Tian, Hai-Jiang Yang, Yin-Long Zeng, Long Fu, Hai-Bing |
| contents | In the paper, we have carried out research on the $D\toπ$ decay process. We employ two different currents to study the $D\toπ$ transition form factors (TFFs) by using the light-cone sum rule within the framework of chiral current approach. Firstly, we follow the right-handed and left-handed currents for the correlators to present the expression of the vector form factors upto next-leading-order and leading-order accuracy, respectively. Here the twist-2 and twist-3 light-cone distribution amplitudes are constructed by the light-cone harmonic oscillator model. After exploring the TFFs into the whole physical $q^2$-region with the simplified $z$-series expansion, we obtain the branching fractions $\mathcal{B}(D^0\to π^-e^+ν_e)_{\text{I}} = 0.31_{-0.05}^{+0.05}$, $\mathcal{B}(D^+\to π^0e^+ν_e)_{\text{I}} = 0.39_{-0.06}^{+0.06}$, $\mathcal{B}(D^0\to π^-e^+ν_e)_{\text{II}} = 0.27_{-0.03}^{+0.05}$, $\mathcal{B}(D^+\to π^0e^+ν_e)_{\text{II}} = 0.34_{-0.04}^{+0.06}$, and extract the CKM matrix element $|V_{cd}|_{\text{I}} = ( 0.21^{+0.02}_{-0.02} )\times 10^{-2}$ as well as $|V_{cd}|_{\text{II}} = ( 0.23^{+0.02}_{-0.02}) \times 10^{-2}$. To verify the credibility of our calculations, these results are further compared with existing findings in the literature, showing good agreement within uncertainties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_16038 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Probing the equivalence of chiral LCSRs in $D \to πe ν_e$ decays and extraction of $|V_{cd}|$ Wang, Xiu-Fen Tian, Hai-Jiang Yang, Yin-Long Zeng, Long Fu, Hai-Bing High Energy Physics - Phenomenology In the paper, we have carried out research on the $D\toπ$ decay process. We employ two different currents to study the $D\toπ$ transition form factors (TFFs) by using the light-cone sum rule within the framework of chiral current approach. Firstly, we follow the right-handed and left-handed currents for the correlators to present the expression of the vector form factors upto next-leading-order and leading-order accuracy, respectively. Here the twist-2 and twist-3 light-cone distribution amplitudes are constructed by the light-cone harmonic oscillator model. After exploring the TFFs into the whole physical $q^2$-region with the simplified $z$-series expansion, we obtain the branching fractions $\mathcal{B}(D^0\to π^-e^+ν_e)_{\text{I}} = 0.31_{-0.05}^{+0.05}$, $\mathcal{B}(D^+\to π^0e^+ν_e)_{\text{I}} = 0.39_{-0.06}^{+0.06}$, $\mathcal{B}(D^0\to π^-e^+ν_e)_{\text{II}} = 0.27_{-0.03}^{+0.05}$, $\mathcal{B}(D^+\to π^0e^+ν_e)_{\text{II}} = 0.34_{-0.04}^{+0.06}$, and extract the CKM matrix element $|V_{cd}|_{\text{I}} = ( 0.21^{+0.02}_{-0.02} )\times 10^{-2}$ as well as $|V_{cd}|_{\text{II}} = ( 0.23^{+0.02}_{-0.02}) \times 10^{-2}$. To verify the credibility of our calculations, these results are further compared with existing findings in the literature, showing good agreement within uncertainties. |
| title | Probing the equivalence of chiral LCSRs in $D \to πe ν_e$ decays and extraction of $|V_{cd}|$ |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2603.16038 |