Eur. Phys. J. C 20, 357-370
DOI: 10.1007/s100520100675
Dimensionally regulated one-loop box scalar integrals with massless internal lines
G. Duplancic and B. NizicTheoretical Physics Division, Rudjer Boskovic Institute, P.O. Box 180, 10002 Zagreb, Croatia
(Received: 8 March 2001 / Published online: 18 May 2001 -© Springer-Verlag / Società Italiana di Fisica 2001)
Abstract
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 containing 0, 1, 2, or 3 external massive lines. To treat
IR divergences (both soft and collinear), the dimensional
regularization method has been employed. The results for these
integrals,
which appear in the process of evaluating one-loop -point
integrals and in subdiagrams in QCD loop calculations, have been
obtained for arbitrary values of the relevant kinematic variables
and
are presented in a simple and compact form.
© Società Italiana di Fisica, Springer-Verlag 2001