A Study of the Semileptonic Charm Decays D^0 --> pi^- e^+ nu_e, D^+ --> pi^0 e^+ nu_e, D^0 --> K^- e^+ nu_e, and D^+ --> barK^0 e^+ nu_e

TL;DR

This paper measures branching fractions and form factors for semileptonic charm decays D^0 and D^+ to pions and kaons, and extracts CKM matrix elements |Vcd| and |Vcs| by combining experimental data with lattice calculations.

Contribution

It provides precise measurements of branching fractions and form factors for specific charm semileptonic decays, and determines CKM matrix elements using experimental and theoretical data.

Findings

Branching fractions for four decay modes measured with statistical and systematic errors.

Form factors studied through partial branching fractions in five q^2 ranges.

CKM matrix elements |Vcd| and |Vcs| extracted with combined experimental and lattice data.

Abstract

Using a sample of 1.8 million DDbar meson pairs collected at the psi(3770) with the CLEO-c detector, we study the semileptonic decays D^0 -> pi^- e^+ nu_e, D^+ -> pi^0 e^+ \nu_e, D^0 -> K^- e^+ \nu_e, and D^+ -> Kbar^0 e^+ nu_e. For the total branching fractions we find B(D^0 -> pi^- e^+ \nu_e) = 0.299(11)(9)%, B(D^+ -> pi^0 e^+ \nu_e) = 0.373(22)(13)%, B(D^0 -> K^- e^+ nu_e) = 3.56(3)(9)%, and B(D^+ -> Kbar^0 e^+ nu_e) = 8.53(13)(23)%, where the first error is statistical and the second systematic. In addition, form factors are studied through fits to the partial branching fractions obtained in five q^2 ranges. By combining our results with recent unquenched lattice calculations, we obtain |Vcd| = 0.217(9)(4)(23) and |Vcs| = 1.015(10)(11)(106), where the final error is theoretical.