A Lattice Study of Semi-leptonic Decays of $D$-Mesons

TL;DR

This paper reports a lattice QCD study calculating matrix elements for semi-leptonic D-meson decays, providing theoretical insights into these processes within the quenched approximation.

Contribution

The study offers new lattice QCD results for vector and axial-vector current matrix elements relevant to D-meson semi-leptonic decays, using an improved fermionic action.

Findings

Matrix elements computed for D→K and D→K* decays

Results obtained in quenched approximation at β=6.2

Provides data for decay form factors

Abstract

We present results of a lattice computation of the matrix elements of the vector and axial-vector currents which are relevant for the semi-leptonic decays $D \rightarrow K$ and $D \rightarrow K^*$. The computations are performed in the quenched approximation to lattice QCD on a $24^3 \times 48$ lattice at $\beta=6.2$ using an $O(a)$-improved fermionic action.