Analytic two-loop virtual corrections to b→dℓ+ℓ-

We compute the two-loop virtual corrections to the flavor changing neutral current process $b\to d{\ell }^{+}{\ell }^{-}$. 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.