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Semileptonic decays of D→ρl+ν and D(s)→K*l+ν from light-cone sum rules

Wang Lin1, Xiao-En Huang1, Shan Cheng1,2,3,*, and De-Liang Yao1,2,3,†

  • 1School of Physics and Electronics, Hunan University, 410082 Changsha, China
  • 2School for Theoretical Physics, Hunan University, 410082 Changsha, China
  • 3Hunan Provincial Key Laboratory of High-Energy Scale Physics and Applications, 410082 Changsha, China

  • *Contact author: scheng@hnu.edu.cn
  • †Contact author: yaodeliang@hnu.edu.cn
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Phys. Rev. D 111, 113005 – Published 17 June, 2025

DOI: https://doi.org/10.1103/jp8y-j9g8

Abstract

We investigate the semileptonic decays of charmed mesons to light vector mesons within the framework of light-cone sum rules. Our calculation is performed at leading order in quantum chromodynamics (QCD) coupling, incorporating contributions up to twist-five accuracy from both two-particle and three-particle light-cone distribution amplitudes. Transition form factors are predicted twist by twist to assess the convergence property of the operator product expansion. It is verified that the twist-four and twist-five contributions are indeed negligible for all the decays under consideration. Twist-three dominance is observed for some of the form factors, subject to heavy quark effective field theory interpretation. Branching ratios for the decays D+→ρ0ℓ+νℓ, Ds+→K*0ℓ+νℓ, D0→K*−ℓ+νℓ and D+→K¯*0ℓ+νℓ are obtained, and a 10%–20% discrepancy from experimental measurements is found. Our finding indicates that the resonant-width and nonresonant QCD backgrounds effects should be potentially significant, implying the necessity to further implement their contributions in future precision studies of the semileptonic charm decays.

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Phys. Rev. D 111, 113005– Published 17 June, 2025
  • Received 6 May 2025
  • Accepted 2 June 2025
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