Muon mass correction in partial wave analyses of charmed meson semi-leptonic decays

TL;DR

This paper derives a parameterization formula for partial wave analyses of charmed meson semi-leptonic decays, accounting for muon mass effects, to improve measurement precision at future high-luminosity experiments.

Contribution

It introduces a new parameterization formula that includes lepton mass effects, enhancing the accuracy of partial wave analyses in charmed meson decays.

Findings

Derived a muon mass correction formula for partial wave analysis.

Applicable to high-luminosity experiments like super-tau-charm factories.

Aims to improve measurement precision of semi-muonic decays.

Abstract

We derive the parameterization formula for partial wave analyses of charmed meson semi-leptonic decays with consideration of the effects caused by the lepton mass. As the proposed super-tau-charm factory will reach much enhanced luminosity and BESIII is taking $\psi(3770)\to D\bar{D}$ data, our results are helpful to improve the measurement precision of future partial wave analyses of charmed meson semi-muonic decays.