### Abstract

Using a large sample (≈11800 events) of D^{+}→K ^{-}π^{+}e^{+}νe and D^{+}→K ^{-}π^{+}μ^{+}νμ decays collected by the CLEO-c detector running at the ψ(3770), we measure the helicity basis form factors free from the assumptions of spectroscopic pole dominance and provide new, accurate measurements of the absolute branching fractions for D ^{+}→K^{̄*}0e^{+}νe and D^{+}→K^{̄*}0μ^{+}νμ decays. We find branching fractions which are consistent with previous world averages. Our measured helicity basis form factors are consistent with the spectroscopic pole dominance predictions for the three main helicity basis form factors describing D^{+}→K^{̄*}0 ^{+}ν decay. The ability to analyze D^{+}→K ^{-}π^{+}μ^{+}νμ allows us to make the first nonparametric measurements of the mass-suppressed form factor. Our result is inconsistent with existing lattice QCD calculations. Finally, we measure the form factor that controls nonresonant s-wave interference with the D ^{+}→K^{̄*}0^{+}ν amplitude and search for evidence of possible additional nonresonant d- or f-wave interference with the K^{̄*}0.

Original language | English (US) |
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Article number | 112001 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 81 |

Issue number | 11 |

DOIs | |

State | Published - Jun 2 2010 |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)

## Fingerprint Dive into the research topics of 'Analysis of D<sup>+</sup>→K<sup>-</sup>π<sup>+</sup>e <sup>+</sup>νe and D<sup>+</sup>→K <sup>-</sup>π<sup>+</sup>μ<sup>+</sup>+νμ semileptonic decays'. Together they form a unique fingerprint.

## Cite this

^{+}→K

^{-}π

^{+}e

^{+}νe and D

^{+}→K

^{-}π

^{+}μ

^{+}+νμ semileptonic decays.

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*81*(11), [112001]. https://doi.org/10.1103/PhysRevD.81.112001