English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

In this work, we calculate the sub-leading power contributions to theradiative leptonic $D\to\gamma \,\ell \,\nu$ decay. For the first time, weprovide the analytic expressions of next-to-leading power contributions and theerror estimation associated with the power expansion of ${\cal O}(\Lambda_{\rmQCD}/m_c)$. In our calculation, we adopt two different models of the $D$-mesondistribution amplitudes $\phi_{D,\rm I}^+$ and $\phi_{D,\rm II}^+$. Within theframework of the QCD factorization as well as the dispersion relation, weevaluate the soft contribution up to the next-to-leading logarithmic accuracy,and the higher-twist contribution from the two-particle and three-particledistribution amplitudes is also considered. Finally, we find that all thesub-leading power contributions are significant at $\lambda_D(\mu_0)=354\,\rmMeV$, and the next-to-leading power contributions will lead to $143\%$ in$\phi_{D,\rm I}^+$ and $120\%$ in $\phi_{D,\rm II}^+$ corrections to leadingpower vector form factors with $E_{\gamma}=0.5\,\rm GeV$. As the correctionsfrom the higher-twist and local sub-leading power contributions will beenhanced with the growing of the inverse moment, it is difficult to extract anappropriate inverse moment of the $D$-meson distribution amplitude. Thepredicted branching fractions are $(1.88_{-0.29}^{+0.36})\times10^{-5}$ for$\phi_{D,\rm I}^+$ and $(2.31_{-0.54}^{+0.65})\times10^{-5}$ for $\phi_{D,\rmII}^+$, respectively.

Factorization of radiative leptonic D-meson decay with sub-leading power corrections