One-Loop QCD Corrections to $\bar{B}\to X_c \ell \bar{\nu}_\ell$ in and Beyond the Standard Model

TL;DR

This paper calculates one-loop QCD corrections to inclusive B-meson decays, incorporating potential new physics effects from dimension-six operators, and provides analytic expressions for key distribution moments at leading power.

Contribution

It presents the first analytic formulas for moments of decay distributions including beyond the Standard Model contributions at order _s.

Findings

Derived analytic expressions for distribution moments with BSM effects.

Quantified one-loop QCD corrections to inclusive decay widths.

Extended theoretical framework to include dimension-six operators.

Abstract

We compute one-loop QCD corrections to the triple differential width of the inclusive decay $\bar{B} \to X_c \ell \bar{\nu}_\ell$ including contributions from all relevant dimension-six operators in the Weak Effective Theory (WET), at leading power in heavy quark expansion. Furthermore we derive for the first time up to order $\mathcal{O}(\alpha_s)$ analytic expressions for the first three moments of the distribution in the lepton energy, hadronic invariant mass and dilepton invariant mass, in the presence of beyond the Standard Model contributions from the WET.