  We propose a parametrization of the leading $B$-meson light-cone distribution
amplitude (LCDA) in heavy-quark effective theory (HQET). In position space, it
uses a conformal transformation that yields a systematic Taylor expansion and
an integral bound, which enables control of the truncation error. Our
parametrization further produces compact analytical expressions for a variety
of derived quantities. At a given reference scale, our momentum-space
parametrization corresponds to an expansion in associated Laguerre polynomials,
which turn into confluent hypergeometric functions ${}_1F_1$ under
renormalization-group evolution at one-loop accuracy. Our approach thus allows
a straightforward and transparent implementation of a variety of
phenomenological constraints, regardless of their origin. Moreover, we can
include theoretical information on the Taylor coefficients by using the local
operator production expansion. We showcase the versatility of the
parametrization in a series of phenomenological pseudo-fits.
