  We extend here the result of Bekenstein [1,2] proving the non-existence of
minimally coupled scalar black hole hair in general relativity to the
Lanczos-Lovelock gravity in arbitrary dimension with non-negative coupling
constants. The only physical requirement on the multiplet of minimally coupled
scalar fields is that it fulfills the weak energy condition. We also assume,
similarly to Bekenstein, spherical symmetry and asymptotic flatness.
