Nonperturbative corrections to B -> X_s l^+ l^- with phase space restrictions

TL;DR

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

Contribution

It provides the first estimate of O(1/m_b^3) corrections in B -> X_s l^+ l^- decay with phase space restrictions, emphasizing their impact on decay rate uncertainties.

Findings

O(1/m_b^3) corrections cause about 10% uncertainty in decay rate

Contributions at O(1/m_b^3) are comparable to O(1/m_b^2) effects

Phase space cuts affect the size of nonperturbative corrections

Abstract

We study nonperturbative corrections up to O(1/m_b^3) in the inclusive rare B decay B -> X_s l^+ l^- by performing an operator product expansion. The values of the matrix elements entering at this order are unknown and introduce uncertainties into physical quantities. Imposing a phase space cut to eliminate the $c \bar{c}$ resonances we find that the O(1/m_b^3) corrections introduce an O(10%) uncertainty in the measured rate. We also find that the contributions arising at O(1/m_b^3) are comparable to the ones arising at O(1/m_b^2) over the entire region of phase space.