Correlator of heavy-light quark currents in HQET in the large ${\beta }_0$ limit

The perturbative contribution to the correlator of two heavy-light quark currents in HQET expanded in light-quark masses up to quadratic terms is calculated at the leading order in $1\mathrm{/}{\beta }_0$. Ultraviolet and infrared renormalon poles of Borel images of the Wilson coefficients are discussed.