Upper bounds on $f_D$ and $f_{D_s}$ from two-point correlation function in QCD

TL;DR

This paper derives upper bounds on the decay constants of D and D_s mesons using QCD correlation functions, highlighting a discrepancy with experimental measurements of f_{D_s}.

Contribution

It provides the first rigorous upper bounds on f_D and f_{D_s} from two-point correlation functions in QCD, incorporating all known operator-product-expansion terms.

Findings

Upper bounds: f_D < 230 MeV, f_{D_s} < 270 MeV

Discrepancy between the bound on f_{D_s} and experimental values

Method includes comprehensive operator-product-expansion terms.

Abstract

The correlation function of two pseudoscalar charmed quark currents with a positive hadronic spectral density is employed to obtain upper bounds on the decay constants of $D$ and $D_s$ mesons. Including all known terms of the operator-product-expansion of this correlation function in QCD and taking into account the estimated uncertainties, we obtain $f_{D}<230 $ MeV and $f_{D_s}<270$ MeV. Comparison with the decay constants determined from $D\to l \nu_l$ and $D_s\to l \nu_l$ measurements, reveals a tension between the bound and current experimental value of $f_{D_s}$.