Finite width effects in nonleptonic D-decays

TL;DR

This paper introduces a technique to account for finite width effects of final state mesons in non-leptonic D-decays, improving the accuracy of extracted transition amplitudes from experimental data.

Contribution

It develops a novel method to incorporate finite width effects into analyses of D-meson decays, addressing a key assumption in previous flavor symmetry fits.

Findings

Finite width effects significantly impact decay amplitude extractions.

The new technique refines the understanding of D-meson decay dynamics.

Results suggest adjustments to previous symmetry-based analyses are necessary.

Abstract

Many analyses of two-body non-leptonic decays of $D$-mesons rely on flavor SU(3) symmetry relations and fits of experimental data of decays rates to extract the universal transition amplitudes. Such fits assume that the final state mesons are well-defined asymptotic states of QCD. We develop a technique to take into account the finite width effects of the final state mesons and study their effects on the extracted values of transition amplitudes.