Using the Feynman parameter method, we have calculated in an elegant manner
a set of one-loop box scalar integrals with massless internal lines, but c
ontaining 0, 1, 2, or 3 external massive lines, To treat In divergences (bo
th soft and collinear), the dimensional regularization method has been empl
oyed. The results for these integrals, which appear in the process of evalu
ating one-loop (N greater than or equal to 5)-point integrals and in subdia
grams in QCD loop calculations. have been obtained for arbitrary values of
the relevant kinematic variables and are presented in a simple and compact
form.