On the resummation of double logarithms in the process Higgs --> two photons

The decay of the Higgs boson into two photons is discussed. Using Sudakov technicue, 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 finally we present an explicit result of the resummation of double logarithms in all order in QCD. The phenomenological applications are discussed.