Complete bremsstrahlung corrections to the forward-backward asymmetries in $b\to X_s{\ell }^{+}{\ell }^{-}$

Abstract

In a recent paper we presented a calculation of NNLL virtual corrections to the forward-backward asymmetries in $b\to X_s{\ell }^{+}{\ell }^{-}$ decay. That result does not include bremsstrahlung corrections which are free from infrared and collinear singularities. In the present paper we include the remaining $\mathcal{O}({\alpha }_s)$ bremsstrahlung corrections to the forward-backward asymmetries in $b\to X_s{\ell }^{+}{\ell }^{-}$ decay. The numerical effect of the calculated contributions is found to be below 1%.

Comments: 14 pages, 6 figures