Nonperturbative corrections to moments of the decay B -> X_s l^+ l^-

TL;DR

This paper analyzes nonperturbative effects in the inclusive rare decay B -> X_s l^+ l^- using operator product expansion up to order 1/m_b^3, highlighting uncertainties and potential parameter extraction.

Contribution

It provides a detailed study of nonperturbative corrections and uncertainties in B decay observables, and explores extracting HQET parameters from experimental data.

Findings

Uncertainties are large for q^2 > M_{ψ'}^2.

Nonperturbative corrections significantly affect decay rate moments.

Potential to extract HQET parameters from decay data.

Abstract

We study nonperturbative corrections to the inclusive rare decay B -> X_s l^+ l^- by performing an operator product expansion (OPE) to O(1/m_b^3). The values of the matrix elements entering at this order are unknown and introduce uncertainties into physical quantities. We study uncertainties introduced into the partially integrated rate, moments of the hadronic spectrum, as well as the forward-backward asymmetry. We find that for large dilepton invariant mass q^2 > M_{\psi'}^2 these uncertainties are large. We also assess the possibility of extracting the HQET parameters \lambda_1 and \bar{\Lambda} using data from this process.