The decay of the Higgs boson into two photons is discussed. Using Suda
kov technique, we study a new type of double logarithms in the case of
the light quark loop. First, we examine the origin of such logarithms
at the one loop level. Then we perform a two-loop analysis, and final
ly we present an explicit result of the resummation of double logarith
ms in all order in QCD. The phenomenological applications are discusse
d. (C) 1998 Published by Elsevier Science B.V.