The inclusive B->eta' X_s decay and b-> sg* form factors

TL;DR

This paper calculates the inclusive B to eta' X_s decay rate using QCD anomaly mechanisms and next-to-leading-logarithmic form factors, showing consistency with experimental data and clarifying previous discrepancies.

Contribution

It provides a detailed calculation of the b to s g* form factors up to NLL accuracy, improving the theoretical prediction of B to eta' X_s decay.

Findings

Standard Model prediction aligns with CLEO data.

Next-to-leading-logarithmic form factors are crucial for accurate predictions.

Contrasts with previous claims of inconsistency.

Abstract

We compute the branching ratio of inclusive $B \to \eta' X_s$ decay based upon the QCD anomaly mechanism: $b\to s+g^*\to s+g+\eta'$. To obtain a reliable $B \to \eta' X_s$ branching ratio, we calculate the $b\to s+g^*$ form factors up to the next-to-leading-logarithmic(NLL) approximation. We point out that the Standard Model prediction for $B\to \eta' X_s$ is consistent with the CLEO data, in contrast to the claims of some previous works.