Complete Michel Parameter Analysis of inclusive semileptonic b \to c transition

TL;DR

This paper conducts a comprehensive analysis of helicity structures in inclusive semileptonic B decays, incorporating all operator contributions, QCD corrections, and non-perturbative effects to refine understanding of the decay process.

Contribution

It provides the first complete Michel parameter analysis for B to Xc l nu decays, including all operators, one-loop QCD corrections, and non-perturbative effects.

Findings

Calculated moments of leptonic energy including non-standard contributions.

Derived moments of hadronic energy and invariant mass with full corrections.

Enhanced precision in modeling B meson semileptonic decays.

Abstract

We perform a complete "Michel parameter" analysis of all possible helicity structures which can appear in the process $B \to X_c \ell \bar{\nu}_\ell$. We take into account the full set of operators parametrizing the effective Hamiltonian and include the complete one-loop QCD corrections as well as the non-perturbative contributions. The moments of the leptonic energy as well as the combined moments of the hadronic energy and hadronic invariant mass are calculated including the non-standard contributions.