Analytic two-loop virtual corrections to $b --> d l^+ l^-$

Abstract

We compute the two-loop virtual corrections to the flavour changing neutral current process $b --> d l^+ l^-$. As calculation techniques integration by parts identities and the method of differential equations are used. The result is presented in closed form as a function of $q^2/m_b^2$, where $q^2$ is the invariant mass of the lepton pair and $m_b$ is the b-quark mass.