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Particles and Fields

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. Nizic

Theoretical 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)

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 $(N\ge 5)$-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