Analysis of the semileptonic decay $D^0 \to \bar{K}^0 \pi^-\mu^+\nu$

TL;DR

This paper reports the first measurements of form factors, S-wave amplitude, and branching ratios for the semileptonic decay of D^0 mesons into K̄^0 π^- μ^+ ν using Fermilab FOCUS data, advancing understanding of charm meson decays.

Contribution

It provides the first experimental measurements of form factors and decay amplitudes for D^0 → K̄^0 π^- μ^+ ν, including S-wave component analysis.

Findings

Measured form factor ratios r_v and r_2 with uncertainties.

Determined S-wave amplitude A with uncertainties.

Calculated the vector semileptonic branching ratio.

Abstract

Using data collected by the fixed target Fermilab experiment FOCUS, we present several first measurements for the semileptonic decay $D^0 \to \bar{K}^0\pi^-\mu^+\nu$. Using a model that includes a $\bar{K}^0 \pi^-$ S-wave component, we measure the form factor ratios to be r_v= 1.706+-0.677+-0.342 and r_2= 0.912+-0.370+-0.104 and the S-wave amplitude to be A=0.347+-0.222+-0.053 GeV^-1. Finally, we measure the vector semileptonic branching ratio $\frac{\Gamma(D^0 \to K^{*}(892){-}\mu^+\nu)}{\Gamma(D^0 \to \bar{K}^0\pi^-\pi^+)}= 0.337+-0.034+-0.013.